EXISTENCE AND STABILITY RESULTS OF NONLINEAR HIGHER-ORDER WAVE EQUATION WITH A NONLINEAR SOURCE TERM AND A DELAY TERM.

Autor: ABDELLI, MAMA, BENIANI, ABDERRAHMANE, MEZOUAR, NADIA, CHAHTOU, AHMED
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Zdroj: Mathematica Bohemica; 2023, Vol. 148 Issue 1, p11-34, 24p
Abstrakt: We consider the initial-boundary value problem for a nonlinear higher-order nonlinear hyperbolic equation in a bounded domain. The existence of global weak solutions for this problem is established by using the potential well theory combined with Faedo-Galarkin method. We also established the asymptotic behavior of global solutions as t → ∞ by applying the Lyapunov method. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index