Solvability of multi-point boundary value problem at resonance (II)

被引:75
作者
Liu, Bing [1 ,2 ]
机构
[1] Department of Mathematics, Huazhong University of Science and Technology
[2] College of Mathematics and Statistics, Wuhan University
来源
Applied Mathematics and Computation (New York) | 2003年 / 136卷 / 2-3期
关键词
Boundary value problems; Coincidence degree; Fredholm operator; Resonance;
D O I
10.1016/S0096-3003(02)00050-4
中图分类号
学科分类号
摘要
The solvability of multi-point boundary value problem at resonance was investigated. A second order ordinary differential equation was subjected to boundary value conditions for the purpose. Some existence results were obtained for the ordinary differential equation and examples were provided to demonstrate the results.
引用
收藏
页码:353 / 377
页数:24
相关论文
共 20 条
[1]  
Feng W., Webb J.R.L., Solvability of m-point boundary value problems with nonlinear growth, J. Math. Anal. Appl., 212, pp. 467-480, (1997)
[2]  
Feng W., Webb J.R.L., Solvability of three point boundary value problems at resonance, Nonlinear Anal. Theory, Meth. Appl., 30, pp. 3227-3238, (1997)
[3]  
Gupta C.P., Ntouyas S.K., Tsamatos P.Ch., Existence results for multi-point boundary value problems for second order ordinary differential equations (preprint)
[4]  
Gupta C.P., A generalized multi-point boundary value problem for second order ordinary differential equations, Appl. Math. Comput., 89, pp. 133-146, (1998)
[5]  
Liu B., Yu J.S., Solvability of multi-point boundary value problem at resonance (I) (preprint)
[6]  
Liu B., Yu J.S., Solvability of multi-point boundary value problem at resonance (III) (preprint)
[7]  
Liu B., Yu J.S., Solvability of multi-point boundary value problem at resonance (IV) (preprint)
[8]  
Mawhin J., Topological degree and boundary value problems for nonlinear differential equations, Lecture Notes in Mathematics, 1537, (1991)
[9]  
Mawhin J., Topological degree methods in nonlinear boundary value problems, NSF-CBMS Regional Conference Series in Mathematics, (1979)
[10]  
Il'in V.A., Moiseev E.I., Nonlocal Boundary value problem of the first kind for a Sturm-Liouvilla operator in its differential and finite difference aspects, Differential Equations, 23, pp. 803-810, (1987)