EXISTENCE AND UNIQUENESS OF ALMOST PERIODIC SOLUTION TO A SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION

EXISTENCE AND UNIQUENESS OF ALMOST PERIODIC SOLUTION TO A SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION

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摘要 In this paper, the existence of almost periodic solution to a second order nonlinear equation is investigated by contraction mapping principle under some conditions. It ought to be noted that using Schauder fixed point theorem to discuss such a problem will cause a failure. In this paper, the existence of almost periodic solution to a second order nonlinear equation is investigated by contraction mapping principle under some conditions. It ought to be noted that using Schauder fixed point theorem to discuss such a problem will cause a failure.

作者 Huiqin Xie (College of Math. and Computer Science, Fuzhou University, Fuzhou 350108)

出处《Annals of Differential Equations》 2010年第4期457-464,共8页 微分方程年刊（英文版）

基金 supported by the Foundation of Fujian Education Bureau(JB08029)

关键词 Linard equation almost periodic solution contraction mapping principle Linard equation almost periodic solution contraction mapping principle

分类号 O175.29 [理学—基础数学]

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参考文献9

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Annals of Differential Equations

2010年第4期

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EXISTENCE AND UNIQUENESS OF ALMOST PERIODIC SOLUTION TO A SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION

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