A RESULT ON PERIODIC SOLUTIONS OF SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS

A RESULT ON PERIODIC SOLUTIONS OF SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS

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摘要 We obtain sufficient condition for the existence of periodic solutions of thefollowing second order functional differential equationsx'(t) + ax'~α(t) + bf(x(t)) + g(x(t-T_1), x'(t-T_2))=p(t)=p(t+2π).Our approach is based on the continuation theorem of coincidence degree, andthe α-priori: estimate of periodic solutions. We obtain sufficient condition for the existence of periodic solutions of thefollowing second order functional differential equationsx'(t) + ax'~α(t) + bf(x(t)) + g(x(t-T_1), x'(t-T_2))=p(t)=p(t+2π).Our approach is based on the continuation theorem of coincidence degree, andthe α-priori: estimate of periodic solutions.

作者张正球

机构地区 Dept of Applied Math Hunan University Changsha

出处《Annals of Differential Equations》 2004年第2期208-214,共7页 微分方程年刊（英文版）

基金 The project is supported by NNSF of China(No.10271044)

关键词 periodic solutions the continuation theorem coincidence degree functional differential equations the property of Brouwer degree periodic solutions the continuation theorem coincidence degree functional differential equations the property of Brouwer degree

分类号 O175 [理学—基础数学]

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1Roger D. Nussbaum.Periodic solutions of some nonlinear autonomous functional differential equations[J].Annali di Matematica Pura ed Applicata Series.1974(1)

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Annals of Differential Equations

2004年第2期

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A RESULT ON PERIODIC SOLUTIONS OF SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS

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