Acta mathematica scientia, Series B >
EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR NONLINEAR SINGULAR 2mth-ORDER CONTINUOUS AND DISCRETE LIDSTONE BOUNDARY VALUE PROBLEMS
Received date: 2008-04-18
Revised date: 2009-06-03
Online published: 2011-01-20
Supported by
The work was supported by Scientific Research Fund of Heilongjiang Provincial Education Department (11544032) and the National Natural Science Foundation of China (10571021, 10701020)
By fixed point theorem of a mixed monotone operators, we study Lidstone boundary value problems to nonlinear singular 2mth-order differential and difference equa-tions, and provide sufficient conditions for the existence and uniqueness of positive solu-tion to Lidstone boundary value problem for 2mth-order ordinary differential equations and 2mth-order difference equations. The nonlinear term in the differential and difference equation may be singular.
YUAN Cheng-Jun , WEN Xiang-Dan , JIANG Da-Qing . EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR NONLINEAR SINGULAR 2mth-ORDER CONTINUOUS AND DISCRETE LIDSTONE BOUNDARY VALUE PROBLEMS[J]. Acta mathematica scientia, Series B, 2011 , 31(1) : 281 -291 . DOI: 10.1016/S0252-9602(11)60228-2
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