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On the Existence and Behavior of Solution for p(x)-Biharmonic-Type Hyperbolic Equation With Nonlinear Damping and Variable Exponent Source

A fourth-order px-biharmonic-type hyperbolic equation with variable-exponent nonlinearities is considered. The global existence of solutions has been obtained by potential well theory and the continuous principle. Qualitative properties related to the stability of the solution of this equation are o...

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Autori principali: Billel Gheraibia, Safa M. Mirgani, Nouri Boumaza, Khaled Zennir
Natura: Artigo
Lingua:Inglês
Pubblicazione: Wiley 2025-01-01
Serie:Journal of Mathematics
Accesso online:http://dx.doi.org/10.1155/jom/1627715
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