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.
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Author Name: Abdulkadir Dogan
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Keywords: 16871847,Existence of multiple positive solutions for $p$-Laplacian multipoint boundary value problems on time scales,16871847,Abdulkadir Dogan
ISSN: 16871847
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