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Existence of Positive Solutions for Second-Order m-Point Boundary Value Problems on Time Scales

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Abstract

This paper investigates the existence of positive solutions of the m-point boundary value problem for second-order dynamic equations on time scales, and obtain the result that the problem has at least one positive solution by using functional-type cone expansion-compression fixed point theorem.

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Authors and Affiliations

  1. College of Electronic and Information Engineering, Hebei University, Baoding, 071002, China

    Pei-guang Wang

  2. College of Mathematics and Computer Science, Hebei University, Baoding, 071002, China

    Ying Wang

Authors
  1. Pei-guang Wang
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  2. Ying Wang
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Correspondence to Pei-guang Wang.

Additional information

The Project Sponsored by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry of China (48371109) and the Natural Science Foundation of Hebei Province of China (A2004000089)

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Wang, Pg., Wang, Y. Existence of Positive Solutions for Second-Order m-Point Boundary Value Problems on Time Scales. Acta Math. Appl. Sin, Engl. Ser. 22, 457–468 (2006). https://doi.org/10.1007/s10255-006-0322-7

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  • DOI: https://doi.org/10.1007/s10255-006-0322-7

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