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Existence of Single and Multiple Solutions for First Order Periodic Boundary Value Problems

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Abstract

This paper is devoted to the study of the existence of single and multiple positive solutions for the first order boundary value problem x′ = f(t, x), x(0) = x(T), where f ∈ C([0, T] × R) . In addition, we apply our existence theorems to a class of nonlinear periodic boundary value problems with a singularity at the origin. Our proofs are based on a fixed point theorem in cones. Our results improve some recent results in the literatures.

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Authors and Affiliations

  1. School of Business, Northeast Normal University, Changchun, 130024, China

    Xiao-ning Lin

  2. Department of Maths, Qiqihar University, Qiqihar, 161006, China

    Hong Wang

  3. Department of Mathematics, Northeast Normal University, Changchun, 130024, China

    Da-qing Jiang

Authors
  1. Xiao-ning Lin
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  2. Hong Wang
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  3. Da-qing Jiang
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Corresponding author

Correspondence to Xiao-ning Lin.

Additional information

Supported by Science Foundation for Young Teachers of Northeast Normal University (No: 20060108), the National Natural Science Foundation of China (No. 10571021) and Key Laboratory for Applied Statistics of MOE(KLAS)

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Lin, Xn., Wang, H. & Jiang, Dq. Existence of Single and Multiple Solutions for First Order Periodic Boundary Value Problems. Acta Mathematicae Applicatae Sinica, English Series 23, 289–302 (2007). https://doi.org/10.1007/s10255-007-0371-6

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  • DOI: https://doi.org/10.1007/s10255-007-0371-6

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