Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222777 | Nonlinear Analysis: Theory, Methods & Applications | 2013 | 7 Pages |
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.
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Authors
V.K. Kalantarov, Y. Yılmaz,