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Home » Existence of multiple positive solutions for $p$-Laplacian multipoint boundary value problems on time scales

  1. Existence of multiple positive solutions for $p$-Laplacian multipoint boundary value problems on time scales

    Author Name: Abdulkadir Dogan

    In this paper, we consider $p$-Laplacian multipoint boundary value problems on time scales. By using a generalization of the Leggett -Williams fixed point theorem due to Bai and Ge, we prove that the boundary value problems have at least three positive solutions. Moreover, we study existence of positive solutions of multipoint boundary value problem for an increasing homeomorphism and homomorphism on time scales. By using fixed point index theory, sufficient conditions for the existence of at least two positive solutions are provided. Examples are given to illustrate the results.

    Date of published: 2013-09-27

    Journal Name: Advances In Difference Equations

    DOI: Not Available

    Keywords: Advances In Difference Equations



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