《山东大学学报(理学版)》 ›› 2024, Vol. 59 ›› Issue (4): 38-44.doi: 10.6040/j.issn.1671-9352.0.2023.078
摘要:
运用Mawhin重合度理论, 讨论一类半直线上三阶多点边值问题
中图分类号:
1 | JIANG Weihua , WANG Bin , WANG Zhenji . Solvability of a second-order multi-point boundary-value problems at resonance on a half-line with dim Ker L=2[J]. Electronic Journal of Differential Equations, 2011, 120, 1- 11. |
2 | 苏小凤, 贾梅, 李萌萌. 共振条件下分数阶微分方程积分边值问题解的存在性[J]. 山东大学学报(理学版), 2016, 51 (8): 66- 73. |
SU Xiaofeng , JIA Mei , LI Mengmeng . Existence of solution for fractional differential equation integral boundary value problem at resonance[J]. Journal of Shandong University (Natural Science), 2016, 51 (8): 66- 73. | |
3 | 王刚, 张慧慧. 一类二阶多点边值共振问题解的存在性[J]. 北京联合大学学报(自然科学版), 2011, 25 (4): 57- 60. |
WANG Gang , ZHANG Huihui . The existence of the solution to problems on second order multi-point resonance boundary value[J]. Journal of Beijing Union University(Natural Science), 2011, 25 (4): 57- 60. | |
4 | BAI Zhanbing . On solutions of some fractional m-point boundary value problems at resonance[J]. Electronic Journal of Qualitative Theory of Differential Equation, 2010, 2010 (37): 1- 15. |
5 | 陈彬, ABUELGASIMALSHABYElzebir. 共振条件下的二阶多点边值问题解的存在性和多解性[J]. 山东大学学报(理学版), 2016, 51 (4): 49- 52. |
CHEN Bin , ABUELGASIMALSHABY Elzebir . Existence and multiplicity results for a second-order multi-point boundary value problem at resonance[J]. Journal of Shandong University (Natural Science), 2016, 51 (4): 49- 52. | |
6 | LIU Bin . Solvability of multi-point boundary value problem at resonance (Ⅱ)[J]. Applied Mathematics and Computation, 2003, 136 (2/3): 353- 377. |
7 | XUE Chunyan , DU Zengji , GE Weigao . Solutions to m-point boundary value problems of third order ordinary differential equations at resonance[J]. Journal of Applied Mathematics and Computing, 2005, 17 (1/2): 229- 244. |
8 | DU Zengji , LIN Xiaojie , GE Weigao . On a third-order multi-point boundary value problem at resonance[J]. Journal of Mathematical Analysis and Application, 2005, 302 (1): 217- 229. |
9 | XUE Chunyan , DU Zengji , GE Weigao . Solutions to m-point boundary value problems of third order ordinary differential equations at resonance[J]. Journal of Applied Mathematics and Computing, 2005, 17 (1/2): 229- 244. |
10 | LIAN Hairong , PANG Huihui , GE Weigao . Solvability for second-order three-point boundary value problems at resonance on a half-line[J]. Journal of Mathematical Analysis and Applications, 2008, 337 (2): 1171- 1181. |
11 | LIU Bingmei , LI Junling , LIU Lishan . Existence and uniqueness for an m-point boundary value problem at resonance on infinite intervals[J]. Computers and Mathematics with Applications, 2012, 64 (6): 1677- 1690. |
12 | MAWHIN J . Topological degree methods in nonlinear boundary value problems[M]. Providence: American Mathematical Society, 1979. |
13 | ZHANG Xuemei , FENG Meiqiang , GE Weigao . Existence result of second-order differential equations with integral boundary value conditions at resonance[J]. Journal of Mathematical Analysis and Applications, 2009, 353 (1): 311- 319. |
14 | AGARWAL R P , O'REGAN D . Infinite interval problems for differential, difference and inte-gral equations[M]. Dordrecht: Kluwer Academic Publishers, 2001: 10- 15. |
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