Global existence and blow-up results for a nonlinear viscoelastic higher-order p(x)-Laplacian equation

	Global existence and blow-up results for a nonlinear viscoelastic higher-order p(x)-Laplacian equation
International Journal of Nonlinear Analysis and Applications
مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از 12 شهریور 1404 اصل مقاله (430.96 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2025.35644.5299
نویسنده
Mohammad Shahrouzi^*
Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
چکیده
This study aims for the global existence and blow-up of solutions for a class of nonlinear viscoelastic higher-order $p(x)$-Laplacian equations. First, we prove the global existence of solutions in the appropriate range of the variable exponents and next, by using different methods, we prove the blow-up of solutions with positive and negative initial energy. Our results are new, and it is the first time that taken into consideration, extending and improving the earlier results in the literature, such as (Bol. Soc. Mat. Mex.., 2023, https://doi.org/10.1007/s40590-023-00551-x).
کلیدواژه‌ها
global existence؛ blow-up؛ higher-order؛ viscoelastic؛ $p(x)$-Laplacian
مراجع

آمار تعداد مشاهده مقاله: 230 تعداد دریافت فایل اصل مقاله: 558

پیوندهای مفید

آمار