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ANTI-PERIODIC SOLUTIONS FOR HIGHER-ORDER LIENARD TYPE DIFFERENTIAL EQUATION WITH p-LAPLACIAN OPERATOR

Taiyong Chen|Wenbin Liu
대한수학회 (The Korean Mathematical Society)|2012.05|대한수학회보 (Bulletin of the KMS)|제49권 제3호|pp. 455-463

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참고문헌

키워드

anti-periodic solutionhigher-order differential equationp-Laplacian operatorLeray-Schauder principle
주제분류수학

초록

In this paper, by using degree theory, we consider a kind of higher-order Li$\acute{e}$enard type $p$-Laplacian differential equation as follows $$({\phi}_p(x^{(m)}))^{(m)}+f(x)x^{\prime}+g(t,x)=e(t)$$. Some new results on the existence of anti-periodic solutions for above equation are obtained.

Abstract

In this paper, by using degree theory, we consider a kind of higher-order Li$\acute{e}$enard type $p$-Laplacian differential equation as follows $$({\phi}_p(x^{(m)}))^{(m)}+f(x)x^{\prime}+g(t,x)=e(t)$$. Some new results on the existence of anti-periodic solutions for above equation are obtained.

참고문헌 (22)

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관련 논문AI추천

ANTI-PERIODIC SOLUTIONS FOR HIGHER-ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONSHui Xing Zhang, Jian Jun Zhang, Tai Yong Chen, Wen Bin Liu대한수학회 · 대한수학회지2010 · 제47권 제3호EXISTENCE OF PERIODIC SOLUTIONS FOR A GENERAL CLASS OF p-LAPLACIAN EQUATIONS김용인한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제1호MULTIPLE PERIODIC SOLUTIONS OF p-LAPLACIAN EQUATION WITH ONE-SIDE NAGUMO CONDITIONJian Jun Zhang, Jin Bo Ni, Tai Yong Chen, Wen Bin Liu대한수학회 · 대한수학회지2008 · 제45권 제6호EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A CLASS OF p-LAPLACIAN EQUATIONS김용인한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제2호On periodic boundary value problems of higher order nonlinear functional difference equations with p-LaplacianXingyuan Liu, Yuji Liu대한수학회 · 대한수학회논문집2009 · 제24권 제1호PERIODIC SOLUTIONS FOR A KIND OF p-LAPLACIAN HAMILTONIAN SYSTEMSLi Zhang, Weigao Ge대한수학회 · 대한수학회보2010 · 제47권 제2호

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