Decay and growth estimates for solutions of second-order and third-order differential-operator equations
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 impro...
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| Veröffentlicht in: | Nonlinear analysis 2013-09, Vol.89, p.1-7 |
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| container_title | Nonlinear analysis |
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| creator | Kalantarov, V.K. Yılmaz, Y. |
| description | 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. |
| doi_str_mv | 10.1016/j.na.2013.04.016 |
| format | Article |
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| ispartof | Nonlinear analysis, 2013-09, Vol.89, p.1-7 |
| issn | 0362-546X 1873-5215 |
| language | eng |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Boussinesq equations Decay Decay estimate Differential-operator equations Estimates Growth estimate Initial value problems Mathematical analysis Mathematical models Nonlinearity Stability Third-order equations Wave propagation |
| title | Decay and growth estimates for solutions of second-order and third-order differential-operator equations |
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