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Positive solutions to (n-1,1) m-point boundary value problems with dependence on the first order derivative

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  • College of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, P. R. China

Received date: 2008-04-10

  Revised date: 2009-02-14

  Online published: 2009-04-16

Abstract

Using the extension of Krasnoselskii's fixed point theorem in a cone, we prove the existence of at least one positive solution to the nonlinear nth order m-point boundary value problem with dependence on the first order derivative. The associated Green's function for the nth order m-point boundary value problem is given, and growth conditions are imposed on the nonlinear term f which ensures the existence of at least one positive solution. A simple example is presented to illustrate applications of the obtained results.

Cite this article

Yu-De JI;Yan-Ping GUO;Chang-Long YU . Positive solutions to (n-1,1) m-point boundary value problems with dependence on the first order derivative[J]. Applied Mathematics and Mechanics, 2009 , 30(4) : 527 -536 . DOI: 10.1007/s10483-009-0413-x

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