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On a wave equation containing nonlinear integral terms: Existence and asymptotic expansion of solutions | ||
International Journal of Nonlinear Analysis and Applications | ||
مقاله 32، دوره 14، شماره 1، فروردین 2023، صفحه 409-435 اصل مقاله (547.1 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25719.3106 | ||
نویسندگان | ||
Le Thi Mai Thanh1؛ Nguyen Huu Nhan* 2؛ Le Thi Phuong Ngoc3 | ||
1Nguyen Tat Thanh University, 300A Nguyen Tat Thanh Str., Dist. 4, Ho Chi Minh City, Vietnam | ||
2Ho Chi Minh University of Foreign Languages and Information Technology, 828 Su Van Hanh Str., Ward 13, Dist. 10, Ho Chi Minh City, Vietnam | ||
3University of Khanh Hoa, 01 Nguyen Chanh Str., Nha Trang City, Vietnam | ||
تاریخ دریافت: 08 دی 1400، تاریخ پذیرش: 25 خرداد 1401 | ||
چکیده | ||
In this paper, we consider an initial-boundary problem for a wave equation containing nonlinear integral terms. By the linear approximate method associated with the Faedo-Galerkin method, the existence and uniqueness of solutions for the proposed problem are proved. Moreover, a high-order asymptotic expansion in a small parameter of the weak solution is also discussed. | ||
کلیدواژهها | ||
Wave equation؛ Faedo-Galerkin method؛ Recurrent sequence؛ Asymptotic expansion؛ Nonlinear integral terms | ||
آمار تعداد مشاهده مقاله: 17,035 تعداد دریافت فایل اصل مقاله: 191 |