Multiplicity of positive periodic solutions to nonlinear boundary value problems with a parameter

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• 作者：Hailong Zhu ; Shengjun Li
• 刊名：Journal of Applied Mathematics and Computing
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：51
• 期：1-2
• 页码：245-256
• 全文大小：517 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Computational Mathematics and Numerical Analysis
  Applied Mathematics and Computational Methods of Engineering
  Theory of Computation
  Mathematics of Computing
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1865-2085
• 卷排序：51

文摘

We study the existence and multiplicity of positive periodic solutions for second order differential equations with a parameter. In this class of problems, we are mainly concerned with the semi-positone case. Our methods are based on the nonlinear alternative principle of Leray–Schauder and Krasnosel’skii’s fixed point theorem in cones. Analytical results are illustrated by means of numerical experiments.KeywordsPeriodic solutionMultiplicityLeray–Schauder alternative principleKrasnosel’skii’s fixed point theorem