Positive Solutions of a Singular Positone and Semipositone Boundary Value Problems for Fourth-Order Difference Equations

Chengjun Yuan

Discrete Dynamics in Nature and Society, 2010, vol. 2010, 1-16

Abstract:

This paper studies the boundary value problems for the fourth-order nonlinear singular difference equations , , , . We show the existence of positive solutions for positone and semipositone type. The nonlinear term may be singular. Two examples are also given to illustrate the main results. The arguments are based upon fixed point theorems in a cone.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:312864

DOI: 10.1155/2010/312864

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