Positive Solutions for(n-1,1) m-Point Boundary Value Problems With Dependence on the First Order Derivative

JI Yu-de; GUO Yan-ping; YU Chang-long

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Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(4): 495-504

JI Yu-de, GUO Yan-ping, YU Chang-long. Positive Solutions for(n-1,1) m-Point Boundary Value Problems With Dependence on the First Order Derivative[J]. Applied Mathematics and Mechanics, 2009, 30(4): 495-504.

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Positive Solutions for(n-1,1) m-Point Boundary Value Problems With Dependence on the First Order Derivative

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

Received Date: 2008-04-10
Rev Recd Date: 2009-02-14
Publish Date: 2009-04-15

Abstract

Abstract

Using the extension of Krasnoselskii's fixed point theorem in a cone,the existence of at least one positive solution to the nonlinear n th order m-point boundary value problem with dependence on the first order derivative was proved.The associated Green's function for the n th order mpoint boundary value problem was given,and growth conditions were imposed on nonlinear term f which ensure existence of at least one positive solutions.A simple example was presented to illustrate applications of the obtained results.
- Green’s function,
- fixed point theorem in a cone,
- positive solution,
- highe-rorder differential equation

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References(11)

References

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