Positive solutions to singular third-order three-point boundary value problems on time scales

Authors:
Lianggen Hu
Affiliations:
Department of Mathematics, Ningbo University, Ningbo, 315211, PR China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2010

Citing 4
Cited 1

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Multiple positive solutions of nonlinear third-order BVP for a class of p-Laplacian dynamic equations on time scales

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Positive solutions of four-point boundary value problem for fourth order ordinary differential equation

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Abstract

In this paper, we are concerned with singular third-order three-point boundary value problems on time scales. Some theorems on the existence of positive solutions are obtained by utilizing the fixed point theorem of cone expansion and compression type. An example is also given to illustrate our results.