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BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTS | ||
| Journal of Mahani Mathematical Research | ||
| دوره 11، شماره 3 - شماره پیاپی 23، بهمن 2022، صفحه 109-131 اصل مقاله (596.03 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2022.19440.1250 | ||
| نویسندگان | ||
| Fortuné Mahougnon Dohemeto* ؛ Guy Aymard Degla؛ Cyrille Sègbégnon Dansou | ||
| Department of Mathematics, Institut de Mathématiques et de Sciences Physiques (IMSP), Université d'Abomey Calavi (UAC), Bénin, Dangbo | ||
| چکیده | ||
| This paper is concerned with the blow-up and global existence of solutions for Higher-Order Kirchhoff-Type Equations with variable exponents. Under suitable assumptions, we prove some finite time blow-up results for certain solutions with positive initial energy by using a concavity-type method. This work improves and generalizes several interesting recent blow-up results on wave equations in particular on Kichhoff-type equations. We also show the global existence of solutions under appropriate conditions. | ||
| کلیدواژهها | ||
| Blow-up؛ Global existence؛ Higher-Order Kirchhoff-Type Equation؛ Variable exponents؛ Positive initial energy | ||
| مراجع | ||
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