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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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