Existence of Multiple Positive Solutions for P-Laplacian Multipoint Boundary Value Problems on Time Scales
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Date
2013
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Springeropen
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GOLD
Green Open Access
Yes
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178
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156
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No
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Abstract
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 a boundary value problem has at least three positive solutions. Moreover, we study existence of positive solutions of a 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. MSC: 34B15, 34B16, 34B18, 39A10.
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Keywords
Time Scales, Boundary Value Problem, P-Laplacian, Positive Solutions, Fixed Point Theorem, positive solutions, Algebra and Number Theory, time scales, boundary value problem, Applied Mathematics, p-Laplacian, fixed point theorem, Analysis, Singular nonlinear boundary value problems for ordinary differential equations, Positive solutions to nonlinear boundary value problems for ordinary differential equations, \(p\)-Laplacian, Dynamic equations on time scales or measure chains, Additive difference equations
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Fields of Science
0101 mathematics, 01 natural sciences
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OpenCitations Citation Count
3
Source
Advances in Difference Equations
Volume
2013
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CrossRef : 3
Scopus : 13
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