Publication: Decay and growth estimates for solutions of second-order and third-order differential-operator equations
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Yilmaz, Y.
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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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Elsevier
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Nonlinear Analysis-Theory Methods and Applications
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10.1016/j.na.2013.04.016
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