Article ID Journal Published Year Pages File Type
7222777 Nonlinear Analysis: Theory, Methods & Applications 2013 7 Pages PDF
Abstract
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.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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