We obtained decay and growth estimates for solutions of second-order and third-order differential-operator equations in a Hilbert space. Applications to initial-boundary value problems for linear and nonlinear non-stationary partial differential equations modeling the strongly damped nonlinear improved Boussinesq equation, the dual-phase-lag heat conduction equations, the equation describing wave propagation in relaxing media, and the Moore-Gibson-Thompson equation are given. (C) 2013 Elsevier Ltd. All rights reserved
In this study, the nonlocal boundary value problem for the third order partial differential equation...
[No abstract available]101214911502Martin, Jr., (1976) Non-Linear Operators and Differential Equatio...
summary:We consider boundary value problems for second order differential equations of the form $(x^...
AbstractThis article is concerned with second-order quasilinear equations (not necessarily elliptic)...
We prove several growth theorems for solutions of certain nonlinear second-order difference equation...
We consider an abstract second order non-autonomous evolution equation in a Hilbert space H : u″ + A...
Our aim is to establish a spatial decay and growth estimates for solutions of the initial-boundary v...
Our aim is to establish a spatial decay and growth estimates for solutions of the initial-boundary v...
In this paper we deal with the general initial-boundary value problem for a second order nonlinea...
We consider an abstract second order evolution equation with damping. The ``elastic'' term is repre...
AbstractWe study decay estimates for the solutions and their derivatives to the initial value proble...
AbstractFor the abstract Volterra integro-differential equation utt − Nu + ∝−∞t K(t − τ) u(τ) dτ = 0...
Author Institution: Department of Mathematics, Wright State UniversityMAZUMDAR, TAPAS, An applicatio...
This book mainly serves as an elementary, self-contained introduction to several important aspects o...
This paper develops a unified method to derive decay estimates for general second order integro-diff...
In this study, the nonlocal boundary value problem for the third order partial differential equation...
[No abstract available]101214911502Martin, Jr., (1976) Non-Linear Operators and Differential Equatio...
summary:We consider boundary value problems for second order differential equations of the form $(x^...
AbstractThis article is concerned with second-order quasilinear equations (not necessarily elliptic)...
We prove several growth theorems for solutions of certain nonlinear second-order difference equation...
We consider an abstract second order non-autonomous evolution equation in a Hilbert space H : u″ + A...
Our aim is to establish a spatial decay and growth estimates for solutions of the initial-boundary v...
Our aim is to establish a spatial decay and growth estimates for solutions of the initial-boundary v...
In this paper we deal with the general initial-boundary value problem for a second order nonlinea...
We consider an abstract second order evolution equation with damping. The ``elastic'' term is repre...
AbstractWe study decay estimates for the solutions and their derivatives to the initial value proble...
AbstractFor the abstract Volterra integro-differential equation utt − Nu + ∝−∞t K(t − τ) u(τ) dτ = 0...
Author Institution: Department of Mathematics, Wright State UniversityMAZUMDAR, TAPAS, An applicatio...
This book mainly serves as an elementary, self-contained introduction to several important aspects o...
This paper develops a unified method to derive decay estimates for general second order integro-diff...
In this study, the nonlocal boundary value problem for the third order partial differential equation...
[No abstract available]101214911502Martin, Jr., (1976) Non-Linear Operators and Differential Equatio...
summary:We consider boundary value problems for second order differential equations of the form $(x^...