EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR NONLINEAR SINGULAR 2mth-ORDER CONTINUOUS AND DISCRETE LIDSTONE BOUNDARY VALUE PROBLEMS

doi:10.1016/S0252-9602(11)60228-2

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (1): 281-291.doi: 10.1016/S0252-9602(11)60228-2

EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR NONLINEAR SINGULAR 2mth-ORDER CONTINUOUS AND DISCRETE LIDSTONE BOUNDARY VALUE PROBLEMS

苑成军^1,2, 文香丹³, 蒋达清¹

1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China;
2. School of Mathematics and Computer, Harbin University, |Harbin 150086, China;
3. Department of |Mathematics, Yanbian University, Yanji |133002, China

收稿日期:2008-04-18 修回日期:2009-06-03 出版日期:2011-01-20 发布日期:2011-01-20
基金资助:
The work was supported by Scientific Research Fund of Heilongjiang Provincial Education Department (11544032) and the National Natural Science Foundation of China (10571021, 10701020)

EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR NONLINEAR SINGULAR 2mth-ORDER CONTINUOUS AND DISCRETE LIDSTONE BOUNDARY VALUE PROBLEMS

YUAN Cheng-Jun^1,2, WEN Xiang-Dan³, JIANG Da-Qing¹

1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China;
2. School of Mathematics and Computer, Harbin University, |Harbin 150086, China;
3. Department of |Mathematics, Yanbian University, Yanji |133002, China

Received:2008-04-18 Revised:2009-06-03 Online:2011-01-20 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)

摘要/Abstract

摘要：

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.

关键词: Mixed monotone operator, fixed point theorem, boundary value problems, existence, uniqueness

Abstract:

Key words: Mixed monotone operator, fixed point theorem, boundary value problems, existence, uniqueness

中图分类号:

34B15

苑成军, 文香丹, 蒋达清. EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR NONLINEAR SINGULAR 2mth-ORDER CONTINUOUS AND DISCRETE LIDSTONE BOUNDARY VALUE PROBLEMS[J]. 数学物理学报(英文版), 2011, 31(1): 281-291.

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.

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EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR NONLINEAR SINGULAR 2mth-ORDER CONTINUOUS AND DISCRETE LIDSTONE BOUNDARY VALUE PROBLEMS

EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR NONLINEAR SINGULAR 2mth-ORDER CONTINUOUS AND DISCRETE LIDSTONE BOUNDARY VALUE PROBLEMS

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