Existence of periodic solutions in nonlinear asymmetric oscillations | |
Yang, XJ | |
2010-05-06 ; 2010-05-06 | |
关键词 | periodic solutions p-Laplacian asymmetric oscillations EQUATIONS RESONANCE Computer Science, Interdisciplinary Applications Computer Science, Software Engineering Mathematics, Applied |
中文摘要 | In this paper, the existence of periodic solutions for the following nonlinear asymmetric oscillator, (phi(p) (x'))' + (p-1) [alpha phi(p) (x(+)) - beta phi(p) (x-) + f(x) + g(x') - h(t) ] = 0 is discussed, where phi(p)(u) = vertical bar u vertical bar(p-2)u, p > 1 is a constant, alpha, beta are positive constants satisfying alpha(1/P) + beta(1/P) = 2m/n for some m, n is an element of N, f (x), g(y) are bounded local Lipschitz functions, h(t) is a continuous, and 2 pi(p)-periodic function, x(+/-) = max{+/- x, 0}, pi(p) = 2 pi/p sin(pi/p). (c) 2005 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/123456789/14058] |
专题 | 清华大学 |
推荐引用方式 GB/T 7714 | Yang, XJ. Existence of periodic solutions in nonlinear asymmetric oscillations[J],2010, 2010. |
APA | Yang, XJ.(2010).Existence of periodic solutions in nonlinear asymmetric oscillations.. |
MLA | Yang, XJ."Existence of periodic solutions in nonlinear asymmetric oscillations".(2010). |
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