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Global Existence and Blow-Up for a Parabolic Problem of Kirchhoff Type with Logarithmic Nonlinearity

期刊: APPLIED MATHEMATICS AND OPTIMIZATION, 2021; 83 (3)

In this paper, we study the following parabolic problem of Kirchhoff type with logarithmic nonlinearity:... ut + M([u] 2s)LK u = |u| p-2u log |u|, in ......

On the Observability of Time Discrete Integro-differential Systems

期刊: APPLIED MATHEMATICS AND OPTIMIZATION, 2021; 83 (2)

In this paper we study the observability properties of time discrete approximation schemes for some integro-differential equations. The equation is di......

Generalized Penalty Method for Elliptic Variational-Hemivariational Inequalities

期刊: APPLIED MATHEMATICS AND OPTIMIZATION, 2021; 83 (2)

We consider an elliptic variational-hemivariational inequality with constraints in a reflexive Banach space, denoted P, to which we associate a sequen......

Nonzero-sum Games for Continuous-Time Jump Processes Under the Expected Average Payoff Criterion

期刊: APPLIED MATHEMATICS AND OPTIMIZATION, 2021; 83 (2)

In this paper we investigate nonzero-sum games for continuous-time jump processes with Borel state spaces. The optimality criterion to be considered i......

Approximate Controllability of Second-Order Stochastic Differential Systems Driven by a Levy Process

期刊: APPLIED MATHEMATICS AND OPTIMIZATION, 2021; 83 (2)

This paper addresses approximate controllability for a class of control systems represented by second order stochastic differential equations driven b......

Long-Time Dynamics and Optimal Control of a Diffuse Interface Model for Tumor Growth

期刊: APPLIED MATHEMATICS AND OPTIMIZATION, 2021; 83 (2)

We investigate the long-time dynamics and optimal control problem of a thermodynamically consistent diffuse interface model that describes the growth ......

Constrained Stochastic LQ Optimal Control Problem with Random Coefficients on Infinite Time Horizon

期刊: APPLIED MATHEMATICS AND OPTIMIZATION, 2021; 83 (2)

In this paper we study a control-constrained stochastic LQ optimal control problem with random coefficients on the infinite time horizon. For this, tw......

Constrained Expected Average Stochastic Games for Continuous-Time Jump Processes

期刊: APPLIED MATHEMATICS AND OPTIMIZATION, 2021; 83 (3)

In this paper we study the nonzero-sum constrained stochastic games for continuous-time jump processes with denumerable states and possibly unbounded ......

A Uniqueness Result for Strong Singular Kirchhoff-Type Fractional Laplacian Problems

期刊: APPLIED MATHEMATICS AND OPTIMIZATION, 2021; 83 (3)

In this paper, we study the following Kirchhoff-type fractional Laplacian problem with strong singularity:... (a + b similar to u similar to 2)(- simi......

Exponential Stability of Solutions to Stochastic Differential Equations Driven by G-Levy Process

期刊: APPLIED MATHEMATICS AND OPTIMIZATION, 2021; 83 (3)

In this paper, BDG-type inequality for G-stochastic calculus with respect to G-Levy process is obtained, and solutions of the stochastic differential ......

Asymptotic Stability of Energy for a Weak Viscoelastic Plate Equation with Complementary Frictional Damping

期刊: APPLIED MATHEMATICS AND OPTIMIZATION, ; ()

We are concerned with asymptotic stability of energy for plate equations with vanishing viscoelastic dampings and complementary frictional dampings, w......

Time Optimal Control of a Clarke Subdifferential Type Stochastic Evolution Inclusion in Hilbert Spaces

期刊: APPLIED MATHEMATICS AND OPTIMIZATION, ; ()

This paper investigates the time optimal control for a class of non-instantaneous impulsive Clarke subdifferential type stochastic evolution inclusion......

Sensitivity Analysis of Optimal Control Problems Governed by Nonlinear Hilfer Fractional Evolution Inclusions

期刊: APPLIED MATHEMATICS AND OPTIMIZATION, ; ()

This article studies sensitivity properties of optimal control problems that are governed by nonlinear Hilfer fractional evolution inclusions (NHFEIs)......

Asymptotic Regularity and Attractors for Slightly Compressible Brinkman-Forchheimer Equations

期刊: APPLIED MATHEMATICS AND OPTIMIZATION, ; ()

Slightly compressible Brinkman-Forchheimer equations in a bounded 3D domain with Dirichlet boundary conditions are considered. These equations model f......

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