Existence, asymptotic stability and blow-up results for a variable-exponent viscoelastic double-Kirchhoff-type wave equation | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 9، دوره 15، شماره 2، اردیبهشت 2024، صفحه 95-114 اصل مقاله (467.89 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.28975.4034 | ||
| نویسندگان | ||
| Mohammad Shahrouzi* 1؛ Jorge Ferreira2؛ Erhan Pişkin3 | ||
| 1Department of Mathematics, Jahrom University, Jahrom, Iran | ||
| 2Federal Fluminense University, Department of Exact Sciences, Volta Redonda, RJ, Brazil | ||
| 3Dicle University, Department of Mathematics, Diyarbakir, Turkey | ||
| چکیده | ||
| The present study examined the behavior of solutions for a viscoelastic double-Kirchhoff-type wave equation with nonlocal degenerate damping term and variable exponent nonlinearities. Under appropriate conditions for the data and exponents, we prove the global existence, asymptotic stability, and blow up of solutions with arbitrary initial energy. | ||
| کلیدواژهها | ||
| Global existence؛ asymptotic stability؛ blow-up؛ Kirchhoff-type equation؛ nonlocal damping؛ variable exponent | ||
| مراجع | ||
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