Existence and uniqueness results for a third-order implicit differential equation | |
Feng Yuqiang | |
2010-05-06 ; 2010-05-06 | |
关键词 | Third-order implicit differential equation Solution Existence Uniqueness BOUNDARY-VALUE-PROBLEMS SYSTEMS FLOWS 3RD Computer Science, Interdisciplinary Applications Mathematics, Applied |
中文摘要 | The purpose of this paper is to give sufficient conditions for the existence and uniqueness of solutions to the boundary value problem of a third-order implicit differential equation as follows: {f (t, u(t), u '(t), u '''(t)) = 0, 0 <= t <= 1 u(0) = u '(0) = u '(1) = 0. The lower and upper solutions method, maximum principle together with an iterative technique are employed. An example illustrates the application of results obtained. (C) 2008 Elsevier Ltd. All rights reserved. |
语种 | 英语 ; 英语 |
出版者 | PERGAMON-ELSEVIER SCIENCE LTD ; OXFORD ; THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND |
内容类型 | 期刊论文 |
源URL | [http://hdl.handle.net/123456789/14252] |
专题 | 清华大学 |
推荐引用方式 GB/T 7714 | Feng Yuqiang. Existence and uniqueness results for a third-order implicit differential equation[J],2010, 2010. |
APA | Feng Yuqiang.(2010).Existence and uniqueness results for a third-order implicit differential equation.. |
MLA | Feng Yuqiang."Existence and uniqueness results for a third-order implicit differential equation".(2010). |
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