Applied Mathematics and Optimization

Article	Citations
Controllability and Optimal Control for a Class of Time-Delayed Fractional Stochastic Integro-Differential Systems	28
Existence of Solutions for a Class of Noncoercive Variational–Hemivariational Inequalities Arising in Contact Problems	24
Necessary Optimality Conditions for Optimal Control Problems in Wasserstein Spaces	20
Lord–Shulman Thermoelasticity with Microtemperatures	19
First-Order Shape Derivative of the Energy for Elastic Plates with Rigid Inclusions and Interfacial Cracks	16
Structural Stability in Resonant Penetrative Convection in a Brinkman–Forchheimer Fluid Interfacing with a Darcy Fluid	15
An Extension of the Second Order Dynamical System that Models Nesterov’s Convex Gradient Method	14
Thermosolutal Convection with a Navier–Stokes–Voigt Fluid	13
Suitable Spaces for Shape Optimization	12
Stochastic Graphon Games: II. The Linear-Quadratic Case	12
A Class of Variational–Hemivariational Inequalities for Bingham Type Fluids	12
Strong Averaging Principle for Two-Time-Scale Stochastic McKean-Vlasov Equations	12
A General Stochastic Maximum Principle for Mean-Field Controls with Regime Switching	11
A Double Phase Problem Involving Hardy Potentials	11
Competitive Double Diffusive Convection in a Kelvin–Voigt Fluid of Order One	10
On the Global Convergence of Particle Swarm Optimization Methods	9
Path-Dependent Hamilton–Jacobi Equations: The Minimax Solutions Revised	9
On the Weak Stationarity Conditions for Mathematical Programs with Cardinality Constraints: A Unified Approach	9
On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square	9
Navier–Stokes Regularity Criteria in Vishik Spaces	8
Cahn–Hilliard Models for Glial Cells	8
Linear-Quadratic Mixed Stackelberg–Nash Stochastic Differential Game with Major–Minor Agents	8
Optimal Control of Semilinear Parabolic Equations with Non-smooth Pointwise-Integral Control Constraints in Time-Space	8
Backtracking Gradient Descent Method and Some Applications in Large Scale Optimisation. Part 2: Algorithms and Experiments	8
Existence Results for Fractional p(x, .)-Laplacian Problem Via the Nehari Manifold Approach	8

Binary Interaction Methods for High Dimensional Global Optimization and Machine Learning	7
Time Optimal Control of a Clarke Subdifferential Type Stochastic Evolution Inclusion in Hilbert Spaces	7
Mixed Linear Quadratic Stochastic Differential Leader-Follower Game with Input Constraint	7
On the Asymptotic Nature of First Order Mean Field Games	7
Some Inequalities Involving Perimeter and Torsional Rigidity	7
Accelerated Proximal Algorithms with a Correction Term for Monotone Inclusions	7
Large Deviation Principle for McKean–Vlasov Quasilinear Stochastic Evolution Equations	7
Convergence Analysis of a Crank–Nicolson Galerkin Method for an Inverse Source Problem for Parabolic Equations with Boundary Observations	7
Global Solvability and Optimal Control to a Haptotaxis Cancer Invasion Model with Two Cancer Cell Species	7
Classical and Quantum Controllability of a Rotating Asymmetric Molecule	7
A New Class of History–Dependent Evolutionary Variational–Hemivariational Inequalities with Unilateral Constraints	7
Fluid–Structure Interaction with Kelvin–Voigt Damping: Analyticity, Spectral Analysis, Exponential Decay	6
A Coefficient Inverse Problem for the Mean Field Games System	6
Parameter Estimation of an Epidemic Model with State Constraints	6
Continuous-Time Mean Field Games with Finite State Space and Common Noise	6
Stability of a Timoshenko System with Localized Kelvin–Voigt Dissipation	6
Theory of Solutions for an Inextensible Cantilever	5
Optimal Control of Stochastic Differential Equations via Fokker–Planck Equations	5
Learning an Optimal Feedback Operator Semiglobally Stabilizing Semilinear Parabolic Equations	5
A Fixed-Point Policy-Iteration-Type Algorithm for Symmetric Nonzero-Sum Stochastic Impulse Control Games	5
Error Estimates for Optimal Control Problems Involving the Stokes System and Dirac Measures	5
An Adaptive Consensus Based Method for Multi-objective Optimization with Uniform Pareto Front Approximation	5
Primal–Dual Proximal Splitting and Generalized Conjugation in Non-smooth Non-convex Optimization	5
Existence, Comparison, and Convergence Results for a Class of Elliptic Hemivariational Inequalities	5
A Gradient Descent Perspective on Sinkhorn	5
Optimal Distributed Control of a Allen–Cahn/Cahn–Hilliard System with Temperature	5
Random Evolution Equations: Well-Posedness, Asymptotics, and Applications to Graphs	5
Nonasymptotic Estimates for Stochastic Gradient Langevin Dynamics Under Local Conditions in Nonconvex Optimization	5
Variational and Virtual Discretizations of Optimal Control Problems Governed by Diffusion Problems	5
Equilibrium Price and Optimal Insider Trading Strategy Under Stochastic Liquidity with Long Memory	5
A Modified MSA for Stochastic Control Problems	5
Sensitivity Analysis of Optimal Control Problems Governed by Nonlinear Hilfer Fractional Evolution Inclusions	5
Existence and Non-existence of Global Solutions for a Nonlocal Choquard–Kirchhoff Diffusion Equations in $$\mathbb {R}^{N}$$	5
Social Optima of Backward Linear-Quadratic-Gaussian Mean-Field Teams	5
Teamwise Mean Field Competitions	5
Input-to-State Stability of Non-uniform Linear Hyperbolic Systems of Balance Laws via Boundary Feedback Control	5
Existence, Uniqueness and Asymptotic Behavior of Parametric Anisotropic (p, q)-Equations with Convection	5
Pollution Sources Reconstruction Based on the Topological Derivative Method	5
Linear Quadratic Mean Field Social Optimization: Asymptotic Solvability and Decentralized Control	4
Solvability of Infinite Horizon McKean–Vlasov FBSDEs in Mean Field Control Problems and Games	4
Learning-Informed Parameter Identification in Nonlinear Time-Dependent PDEs	4
Observability Inequalities for Hermite Bi-cubic Orthogonal Spline Collocation Methods of 2-D Integro-differential Equations in the Square Domains	4
Stochastic Dynamic Programming with Non-linear Discounting	4
Reinforced Limit of a MEMS Model with Heterogeneous Dielectric Properties	4
Local Null-Controllability of a Nonlocal Semilinear Heat Equation	4
SIR Epidemics with State-Dependent Costs and ICU Constraints: A Hamilton–Jacobi Verification Argument and Dual LP Algorithms	4
Infinite Time Blow-Up of Solutions for A Class of Logarithmic Wave Equations with Arbitrary High Initial Energy	4
On Forward–Backward Stochastic Differential Equations in a Domination-Monotonicity Framework	4
Singular Limit Dynamics and Attractors for Wave Equations Connected in Parallel	4
Stackelberg–Nash Controllability for N-Dimensional Nonlinear Parabolic Partial Differential Equations	4

SIR Dynamics with Vaccination in a Large Configuration Model	4
Bilinear Optimal Control of the Keller–Segel Logistic Model in 2D-Domains	4
Mean-Field Selective Optimal Control via Transient Leadership	4
Newton-Type Inertial Algorithms for Solving Monotone Equations Governed by Sums of Potential and Nonpotential Operators	4
Approximation to Stochastic Variance Reduced Gradient Langevin Dynamics by Stochastic Delay Differential Equations	4
Linear Quadratic Optimal Control Problems of Delayed Backward Stochastic Differential Equations	4
On Numerical Approaches for Solving an Inverse Cauchy Stokes Problem	4
About Symmetry in Partially Hinged Composite Plates	4
Continuous Data Assimilation Algorithm for the Two Dimensional Cahn–Hilliard–Navier–Stokes System	4
Global Existence and Blow-Up for a Kirchhoff-Type Hyperbolic Problem with Logarithmic Nonlinearity	4
Optimal Control of a Fully Parabolic Attraction-Repulsion Chemotaxis Model with Logistic Source in 2D	4
Asymptotic Regularity and Attractors for Slightly Compressible Brinkman–Forchheimer Equations	4
Minimizing the Probability of Absolute Ruin Under Ambiguity Aversion	4
Local Turnpike Analysis Using Local Dissipativity for Discrete Time Discounted Optimal Control	4
The Square Root Normal Field Distance and Unbalanced Optimal Transport	3
Machine Learning Architectures for Price Formation Models	3
The Time Optimal Control of Two Dimensional Convective Brinkman–Forchheimer Equations	3
A Connection Between Symmetry Breaking for Sobolev Minimizers and Stationary Navier–Stokes Flows Past a Circular Obstacle	3
Local and Global Existence and Uniqueness of Solution and Local Well-Posednesss for Abstract Fractional Differential Equations with State-Dependent Delay	3
Rigorous Derivation of a Linear Sixth-Order Thin-Film Equation as a Reduced Model for Thin Fluid–Thin Structure Interaction Problems	3
(p, q)-Equations with Singular and Concave Convex Nonlinearities	3
Kantorovich–Rubinstein Distance and Barycenter for Finitely Supported Measures: Foundations and Algorithms	3
Sequential Systems of Reflected Backward Stochastic Differential Equations with Application to Impulse Control	3
Strong Attractors for the Structurally Damped Kirchhoff Wave Models with Subcritical-Critical Nonlinearities	3
Robustness of Global Attractors for Extensible Coupled Suspension Bridge Equations with Fractional Damping	3
Robust Time-Inconsistent Stochastic Linear-Quadratic Control with Drift Disturbance	3
Long-Time Behavior of a Nonlinearly-Damped Three-Layer Rao–Nakra Sandwich Beam	3
Analysis of a Mathematical Model Arising in Plant Disease Epidemiology	3
Strong Averaging Principle for Slow–Fast Stochastic Partial Differential Equations with Locally Monotone Coefficients	3
Generalized Differentiation of Probability Functions: Parameter Dependent Sets Given by Intersections of Convex Sets and Complements of Convex Sets	3
Accelerated Gradient Methods Combining Tikhonov Regularization with Geometric Damping Driven by the Hessian	3
Effect of Temperature Upon Double Diffusive Instability in Navier–Stokes–Voigt Models with Kazhikhov–Smagulov and Korteweg Terms	3
Barycenters in the Hellinger–Kantorovich Space	3
BV Solutions of a Convex Sweeping Process with Local Conditions in the Sense of Differential Measures	3
The Analysis of Approximate Controllability for Distributed Order Fractional Diffusion Problems	3
Fractional (p, q)-Schrödinger Equations with Critical and Supercritical Growth	3
Numerical Shape Optimization Among Convex Sets	3
Determining Map, Data Assimilation and an Observable Regularity Criterion for the Three-Dimensional Boussinesq System	3
Policy Iteration Method for Time-Dependent Mean Field Games Systems with Non-separable Hamiltonians	3
Optimal Controls of Stochastic Differential Equations with Jumps and Random Coefficients: Stochastic Hamilton–Jacobi–Bellman Equations with Jumps	3
Discrete Subdiffusion Equations with Memory	3
Sensitivity Analysis of Multi-objective Optimal Control Problems	3
Continuous Viscosity Solutions to Linear-Quadratic Stochastic Control Problems with Singular Terminal State Constraint	3
Convergence Results of a New Monotone Inertial Forward–Backward Splitting Algorithm Under the Local Hölder Error Bound Condition	3
Qualitative Analysis for a Degenerate Kirchhoff-Type Diffusion Equation Involving the Fractional p-Laplacian	3
Lipschitz Continuity of Convex Functions	3
Distributed Optimal Control of the 2D Cahn–Hilliard–Oberbeck–Boussinesq System for Nonisothermal Viscous Two-Phase Flows	3
A General Stability Result for a Viscoelastic Moore–Gibson–Thompson Equation in the Whole Space	3
A Non-autonomous Damped Wave Equation with a Nonlinear Memory Term	3
Sliding Mode Control for a Generalization of the Caginalp Phase-Field System	2
Exact Controllability of the Wave Equation on Graphs	2
Time-Domain Decomposition for Mixed-Integer Optimal Control Problems	2
Subexponential Upper and Lower Bounds in Wasserstein Distance for Markov Processes	2
Wong–Zakai Approximation for Landau–Lifshitz–Gilbert Equation Driven by Geometric Rough Paths	2
Systems of Fully Nonlinear Parabolic Obstacle Problems with Neumann Boundary Conditions	2
Multilevel Selective Harmonic Modulation via Optimal Control	2
Well-Posedness for a Coupled System of Kawahara/KdV Type Equations	2
Existence of Global Attractors for a Semilinear Wave Equation with Nonlinear Boundary Dissipation and Nonlinear Interior and Boundary Sources with Critical Exponents	2
Analysis of General Shape Optimization Problems in Nonlinear Acoustics	2
Stochastic Navier–Stokes Equations on a Thin Spherical Domain	2
Optimal Control of the Principal Coefficient in a Scalar Wave Equation	2
Well-Posedness and Stability for Schrödinger Equations with Infinite Memory	2
Global Boundedness of Solutions to a Quasilinear Chemotaxis System with Nonlocal Nonlinear Reaction	2
Optimal Scheduling of Critically Loaded Multiclass GI/M/n+M Queues in an Alternating Renewal Environment	2
On the Resolution of the Variational Inequalities of the First and the Second Kind as Equations Obtained by Explicit Moreau–Yosida Regularizations	2
Optimal Control of a Quasilinear Parabolic Equation and its Time Discretization	2
Explicit and Implicit Non-convex Sweeping Processes in the Space of Absolutely Continuous Functions	2
Mean Field Markov Decision Processes	2
Stochastic Optimal Control of a Doubly Nonlinear PDE Driven by Multiplicative Lévy Noise	2
Information Projection on Banach Spaces with Applications to State Independent KL-Weighted Optimal Control	2
Stability for Semilinear Parabolic Optimal Control Problems with Respect to Initial Data	2
Porous-elastic Plates: Fourier Versus Type III	2
Optimal Control of Mean Field Equations with Monotone Coefficients and Applications in Neuroscience	2
Normality, Controllability and Properness in Optimal Control	2
Error Estimates for Fractional Semilinear Optimal Control on Lipschitz Polytopes	2
On Fejes Tóth’s Conjectured Maximizer for the Sum of Angles Between Lines	2
On the Maximum Principle for Optimal Control Problems of Stochastic Volterra Integral Equations with Delay	2
Low Perturbations and Combined Effects of Critical and Singular Nonlinearities in Kirchhoff Problems	2
A Game Representation for a Finite Horizon State Constrained Continuous Time Linear Regulator Problem	2
Nash Equilibria Strategies and Equivalent Single-Objective Optimization Problems. The Case of Linear Partial Differential Equations	2

Weak Convergence Rates for Spatial Spectral Galerkin Approximations of Semilinear Stochastic Wave Equations with Multiplicative Noise	2
Unique Continuation Properties of Over-Determined Static Boussinesq Problems with Application to Uniform Stabilization of Dynamic Boussinesq Systems	2
Second-Order Lagrange Multiplier Rules in Multiobjective Optimal Control of Infinite Dimensional Systems Under State Constraints and Mixed Pointwise Constraints	2
Online Adjoint Methods for Optimization of PDEs	2
Exploiting Characteristics in Stationary Action Problems	2
The Maximization of the First Eigenvalue for a Two-Phase Material	2
Finite Element Methods for Isotropic Isaacs Equations with Viscosity and Strong Dirichlet Boundary Conditions	2
Propagation of Chaos of Forward–Backward Stochastic Differential Equations with Graphon Interactions	2
Existence and Continuity of Inertial Manifolds for the Hyperbolic Relaxation of the Viscous Cahn–Hilliard Equation	2
Reverse Isoperimetric Inequality for the Lowest Robin Eigenvalue of a Triangle	2
Orlicz Space Regularization of Continuous Optimal Transport Problems	2
Functional Law of Large Numbers and PDEs for Epidemic Models with Infection-Age Dependent Infectivity	2
What if We Knew What the Future Brings? Optimal Investment for a Frontrunner with Price Impact	2
Homogenization of a Locally Periodic Oscillating Boundary	2
Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Damping on Riemannian Manifolds	2
Viability for Coupled SDEs Driven by Fractional Brownian Motion	2
The Stochastic Gierer–Meinhardt System	2
Asymptotic Stability of Energy for a Weak Viscoelastic Plate Equation with Complementary Frictional Damping	2
Existence and Uniqueness of Solution to the Two-Phase Stefan Problem with Convection	2
Constrained Discounted Stochastic Games	2
Asymptotics for Wave Equations with Damping Only on the Dynamical Boundary	2
On Lipschitz Continuity of Projections onto Polyhedral Moving Sets	2
Mixed Noise Removal Framework Using a Nonlinear Fourth-Order PDE-Based Model	2
Existence of Pseudo-Relative Sharp Minimizers in Set-Valued Optimization	1
Identification of Cavities and Inclusions in Linear Elasticity with a Phase-Field Approach	1
Correction to: Optimal Control of a Phase Field System Modelling Tumor Growth with Chemotaxis and Singular Potentials	1
Evolutionary Quasi-variational Hemivariational Inequalities: Existence and Parameter Identification	1
Linear-Quadratic Delayed Mean-Field Social Optimization	1
Correction To: Existence Results for Fractional p(x, .)-Laplacian Problem Via the Nehari Manifold Approach	1
Global Well-Posedness of Stochastic Nematic Liquid Crystals with Random Initial and Boundary Conditions Driven by Multiplicative Noise	1
Determination of the Space-Dependent Source Term in a Fourth-Order Parabolic Problem	1
Relationship Between the Maximum Principle and Dynamic Programming for Minimax Problems	1
Shape Sensitivity of Eigenvalue Functionals for Scalar Problems: Computing the Semi-derivative of a Minimum	1
On the Conserved Caginalp Phase-Field System with Logarithmic Potentials Based on the Maxwell–Cattaneo Law with Two Temperatures	1
Lifetime Ruin Under High-Water Mark Fees and Drift Uncertainty	1
Structural Changes in Nonlocal Denoising Models Arising Through Bi-Level Parameter Learning	1
Parameter Sensitivity Analysis for Mean Field Games of Production	1
Optimal Convergence Rates for Damped Inertial Gradient Dynamics with Flat Geometries	1
Stability and Dynamics for Lamé System with Degenerate Memory and Time-Varying Delay	1
Control in Probability for SDE Models of Growth Population	1
Semidiscrete Shocks for the Full Velocity Difference Model	1
Bi-spatial Pullback Attractors of Non-autonomous p-Laplacian Equations on Unbounded Thin Domains	1
Fast Convergence of Inertial Dynamics with Hessian-Driven Damping Under Geometry Assumptions	1
Optimal Temperature Distribution for a Nonisothermal Cahn–Hilliard System with Source Term	1
Stochastic Maximum Principle for Optimal Liquidation with Control-Dependent Terminal Time	1
Optimal Dividend Strategies in a Renewal Risk Model with Phase-Type Distributed Interclaim Times	1
On Approximate and Weak Correlated Equilibria in Constrained Discounted Stochastic Games	1
Verifying Fundamental Solution Groups for Lossless Wave Equations via Stationary Action and Optimal Control	1
Nonzero-Sum Risk-Sensitive Continuous-Time Stochastic Games with Ergodic Costs	1
Stackelberg–Nash Null Controllability for a Non Linear Coupled Degenerate Parabolic Equations	1
Stochastic Collocation Method for Stochastic Optimal Boundary Control of the Navier–Stokes Equations	1
Optimal Control of a Nonlinear PDE Governed by Fractional Laplacian	1
Time Rescaling of a Primal-Dual Dynamical System with Asymptotically Vanishing Damping	1
Differential Stability of Discrete Optimal Control Problems with Possibly Nondifferentiable Costs	1
Global Solutions and Blow-Up for the Wave Equation with Variable Coefficients: I. Interior Supercritical Source	1
Large Deviations and Averaging for Stochastic Tamed 3D Navier–Stokes Equations with Fast Oscillations	1
Singular Control of the Drift of a Brownian System	1
An Eikonal Equation with Vanishing Lagrangian Arising in Global Optimization	1
Labor Supply Flexibility and Portfolio Selection with Early Retirement Option	1
Spectral Stability for the Peridynamic Fractional p-Laplacian	1
Mean-Variance Asset-Liability Management in a Non-Markovian Regime-Switching Jump-Diffusion Market with Random Horizon	1
Multi–component Cahn–Hilliard Systems with Singular Potentials: Theoretical Results	1
Statistical Arbitrage for Multiple Co-integrated Stocks	1
Finite Horizon Optimal Dividend and Reinsurance Problem Driven by a Jump-Diffusion Process with Controlled Jumps	1
Generalized Conditions and Improved Method on Asymptotic Stability for a Wave Equation with Variable Density	1
Transport Type Metrics on the Space of Probability Measures Involving Singular Base Measures	1
Correction to: On Nonlocal Variational and Quasi-Variational Inequalities with Fractional Gradient	1
Dynamic Programming Principle for Classical and Singular Stochastic Control with Discretionary Stopping	1
Optimal Control Strategies for Bistable ODE Equations: Application to Mosquito Population Replacement	1
Fenchel Conjugate via Busemann Function on Hadamard Manifolds	1
On Some Non-existence Results in a Semilinear Theory of the Dipolar Thermoelastic Bodies	1
A Class of Double Phase Mixed Boundary Value Problems: Existence, Convergence and Optimal Control	1
Stability for Locally Coupled Wave-Type Systems with Indirect Mixed-Type Dampings	1
Optimal Investment with a Noisy Signal of Future Stock Prices	1
A Piecewise Deterministic Limit for a Multiscale Stochastic Spatial Gene Network	1
Optimal Control of the FitzHugh–Nagumo Stochastic Model with Nonlinear Diffusion	1
Exact Internal Controllability for a Problem with Imperfect Interface	1
Asymptotic Behaviors of Small Perturbation for Multivalued Mckean–Vlasov Stochastic Differential Equations	1
Stackelberg Game Approach to Mixed Stochastic $$H_{2}/H_{\infty }$$ Control for Mean-Field Jump-Diffusions Systems	1
Uniform Decay Rates for a Variable-Coefficient Structural Acoustic Model with Curved Interface on a Shallow Shell	1
Strong Stationarity for Optimal Control Problems with Non-smooth Integral Equation Constraints: Application to a Continuous DNN	1
On the Controllability of a Free-Boundary Problem for 1D Heat Equation with Local and Nonlocal Nonlinearities	1
Generalized Conditional Gradient and Learning in Potential Mean Field Games	1
Exponential Stabilization of the Wave Equation on Hyperbolic Spaces with Nonlinear Locally Distributed Damping	1
The Zero Duality Gap Property for an Optimal Control Problem Governed by a Multivalued Hemivariational Inequality	1
A Zero-Sum Poisson Stopping Game with Asymmetric Signal Rates	1
Various Perturbations of Time Dependent Maximal Monotone/Accretive Operators in Evolution Inclusions with Applications	1
$$L^1$$ Transport Energy	1
A New System of Differential Quasi-Hemivariational Inequalities in Contact Mechanics	1
Optimal Control of Infinite-Dimensional Piecewise Deterministic Markov Processes: A BSDE Approach. Application to the Control of an Excitable Cell Membrane	1
Polyak–Łojasiewicz inequality on the space of measures and convergence of mean-field birth-death processes	1
Sequential Stochastic Control (Single or Multi-Agent) Problems Nearly Admit Change of Measures with Independent Measurement	1
Mean Field Control and Finite Agent Approximation for Regime-Switching Jump Diffusions	1
The Clarke Coderivative of the Frontier Map in a Multi-objective Optimal Control Problem	1
Overhang Penalization in Additive Manufacturing via Phase Field Structural Topology Optimization with Anisotropic Energies	1