| ชื่อเรื่อง | : | Existence and uniqueness of solution for perturbed nonautonomous systems with nonuniform exponential dichotomy |
| นักวิจัย | : | Xia, Yong-Hui , Yuan, Xiaoqing , Kou, Kit Ian , Wong, Patricia J. Y. |
| คำค้น | : | DRNTU::Engineering::Electrical and electronic engineering |
| หน่วยงาน | : | Nanyang Technological University, Singapore |
| ผู้ร่วมงาน | : | - |
| ปีพิมพ์ | : | 2557 |
| อ้างอิง | : | Xia, Y.-H., Yuan, X., Kou, K. I., & Wong, P. J. Y. (2014). Existence and Uniqueness of Solution for Perturbed Nonautonomous Systems with Nonuniform Exponential Dichotomy. Abstract and Applied Analysis, 2014, 725098-. , 1085-3375 , http://hdl.handle.net/10220/20026 , http://dx.doi.org/10.1155/2014/725098 |
| ที่มา | : | - |
| ความเชี่ยวชาญ | : | - |
| ความสัมพันธ์ | : | Abstract and applied analysis |
| ขอบเขตของเนื้อหา | : | - |
| บทคัดย่อ/คำอธิบาย | : | Nonuniform exponential dichotomy has been investigated extensively. The essential condition of these previous results is based on the assumption that the nonlinear term satisfies . However, this condition is very restricted. There are few functions satisfying . In some sense, this assumption is not reasonable enough. More suitable assumption should be . To the best of the authors' knowledge, there is no paper considering the existence and uniqueness of solution to the perturbed nonautonomous system with a relatively conservative assumption . In this paper, we prove that if the nonlinear term is bounded, the perturbed nonautonomous system with nonuniform exponential dichotomy has a unique solution. The technique employed to prove Theorem 4 is the highlight of this paper. |
| บรรณานุกรม | : |
Xia, Yong-Hui , Yuan, Xiaoqing , Kou, Kit Ian , Wong, Patricia J. Y. . (2557). Existence and uniqueness of solution for perturbed nonautonomous systems with nonuniform exponential dichotomy.
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Xia, Yong-Hui , Yuan, Xiaoqing , Kou, Kit Ian , Wong, Patricia J. Y. . 2557. "Existence and uniqueness of solution for perturbed nonautonomous systems with nonuniform exponential dichotomy".
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Xia, Yong-Hui , Yuan, Xiaoqing , Kou, Kit Ian , Wong, Patricia J. Y. . "Existence and uniqueness of solution for perturbed nonautonomous systems with nonuniform exponential dichotomy."
กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2557. Print. Xia, Yong-Hui , Yuan, Xiaoqing , Kou, Kit Ian , Wong, Patricia J. Y. . Existence and uniqueness of solution for perturbed nonautonomous systems with nonuniform exponential dichotomy. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2557.
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