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ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR 2nTH-ORDER BOUNDARY VALUE PROBLEMS
引用本文:Pei Minghe (Dept. of Math.,Beihua University,Jilin 132013) Sung Kag Chang (Dept. of Math.,Yeungnam University,Kyongsan,712-749,Korea). ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR 2nTH-ORDER BOUNDARY VALUE PROBLEMS[J]. Annals of Differential Equations, 2005, 21(2): 183-191
作者姓名:Pei Minghe (Dept. of Math.  Beihua University  Jilin 132013) Sung Kag Chang (Dept. of Math.  Yeungnam University  Kyongsan  712-749  Korea)
作者单位:Pei Minghe (Dept. of Math.,Beihua University,Jilin 132013) Sung Kag Chang (Dept. of Math.,Yeungnam University,Kyongsan,712-749,Korea)
基金项目:The Project-sponsored by SRF for ROCS, SEM.
摘    要:
In this paper, by using the Leray-Schauder continuation theorem, we establish the existence and uniqueness theorems of solutions of two-point boundary value problems for 2nth-order nonlinear differential equations with nonlinear growth.

关 键 词:存在性  一致性  非线性微分方程  边值问题

ON THE EXISTENCE AND UNIQUENESS OFSOLUTIONS FOR 2nTH-ORDER BOUNDARY VALUE PROBLEMS
PeiMinghe SungKagChang. ON THE EXISTENCE AND UNIQUENESS OFSOLUTIONS FOR 2nTH-ORDER BOUNDARY VALUE PROBLEMS[J]. 微分方程年刊(英文版), 2005, 21(2): 183-191
Authors:PeiMinghe SungKagChang
Affiliation:[1]Dept.ofMath.,BeihuaUniversity,Jilin132013 [2]Dept.ofMath.,YeungnamUniversity,Kyongsan,712-749,Korea
Abstract:
In this paper, by using the Leray-Schauder continuation theorem, we establish the existence and uniqueness theorems of solutions of two-point boundary value problems for 2nth-order nonlinear differential equations with nonlinear growth.
Keywords:2nth-order nonlinear differential equations   two-point boundary value problem   existence   uniqueness  
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