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
Hauptverfasser:	Kalantarov, V.K., Yılmaz, Y.
Format:	Artikel
Sprache:	eng
Schlagworte:	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
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Beschreibung
Zusammenfassung:	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.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2013.04.016