二阶奇异耦合微分方程组Neumann边值问题的解

J4 ›› 2012, Vol. 50 ›› Issue (03): 433-.

Previous Articles Next Articles

Solutions to Neumann Boundary Value Problems ofSecond Order Singular Coupled Systems

TANG Yu¹, YUAN Chengjun^2,3, JIANG Daqing², LI Mingzhe³

1. Department of Basic Course, Jilin Business and Technology College, Changchun 130062, China;
2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China;
3. Department of Mathematics, College of Science, Harbin University, Harbin 150086, China

Received:2011-08-30 Online:2012-05-26 Published:2012-05-28
Contact: YUAN Chengjun E-mail:ycj7102@163.com

Abstract

Abstract:

Using Schauder’s fixed point theorem, the authors studied Neumann boundary value problems of second order nonautonomous semipositive coupled systems. We established the existence of positive solutions for Neumann boundary value problems of the singular coupled systems under the conditions that the signs of integral disturbance terms are positive, or negative, or different.

Key words: Neumann boundary value problem, singular coupled system, positive solution, Schauder’s fixed point theorem

CLC Number:

O175.08

SHANG Yu, YU Cheng-Jun, JIANG Da-Qing, LI Meng-Zhe. Solutions to Neumann Boundary Value Problems ofSecond Order Singular Coupled Systems[J].J4, 2012, 50(03): 433-.

[1]	YAO Yanyan, XU Jing, GAO Hongliang. Exact Multiplicity of Positive Solutions of Dirichlet Problems with Special Nonlinear Terms [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1015-1024.
[2]	ZHANG Ruiyan. Existence of Multiple Positive Solutions for Nonlinear Third-Order Three-Point Boundary Value Problems [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1050-1056.
[3]	WANG Rui, LU Yanqiong. Existence of Positive Solutions for a Class of Semi-positone Second-Order Discrete Periodic Boundary Value Problem with Parameter [J]. Journal of Jilin University Science Edition, 2021, 59(4): 725-730.
[4]	YANG Lijuan. Positive Solutions for a Class of Elastic Beam Equations with Indefinite Weights [J]. Journal of Jilin University Science Edition, 2021, 59(4): 737-742.
[5]	WU Ruofei. Existence and Multiplicity of Positive Solutions for Singular Third-Order Three-Point Boundary Value Problem [J]. Journal of Jilin University Science Edition, 2021, 59(4): 816-820.
[6]	SHANG Shuyan, HAN Xiaoling. Existence of Positive Solutions for Integral Boundary Value Problems of Fractional Differential Equations [J]. Journal of Jilin University Science Edition, 2021, 59(3): 444-450.
[7]	MIAO Liangying, HE Zhiqian. Existence and Multiplicity of Positive Solutions for Robin Problem of One-Dimensional Prescribed Mean Curvature Equation in Minkowski Space [J]. Journal of Jilin University Science Edition, 2021, 59(3): 559-562.
[8]	ZHANG Kaibin, CHEN Pengyu. Existence of Positive Solutions for Boundary Value Problems of Fractional Differential Equations in Banach Spaces [J]. Journal of Jilin University Science Edition, 2021, 59(1): 7-12.
[9]	SUN Xiaozhao, LI Yongxiang. Existence of Solutions for a Class of Fully Third-Order Boundary Value Problem [J]. Journal of Jilin University Science Edition, 2021, 59(1): 13-19.
[10]	JIA Kaijun. Global Structure of Positive Solution Set for a Class ofSecondOrder Nonlinear Periodic Boundary Value Problems#br# [J]. Journal of Jilin University Science Edition, 2020, 58(4): 761-767.
[11]	ZHU Yan. Existence of Positive Solutions of a Class of FirstOrder SingularDifferential Equations with Nonlinear Boundary Conditions#br# [J]. Journal of Jilin University Science Edition, 2019, 57(5): 1035-1040.
[12]	WANG Suyun, WEI Jinying, ZHANG Yanhong. Relationship between Number of Zeros of Nonlinear Termand Number of Positive Solutions of Second-OrderPeriodic Boundary Value Problems#br# [J]. Journal of Jilin University Science Edition, 2019, 57(2): 327-330.
[13]	LIAO Xiu, WEI Yuming, FENG Chunhua. Existence of Positive Solutions for a Class of Boundary ValueProblems of Fractional Differential Equations on Infinite Interval#br# [J]. Journal of Jilin University Science Edition, 2018, 56(6): 1299-1306.
[14]	WANG Weixuan, ZHAI Chengbo. Positive Solutions of m-Point Boundary Value Problems forFractional Differential Equations on Infinite Intervals#br# [J]. Journal of Jilin University Science Edition, 2018, 56(6): 1315-.
[15]	MIAO Chunmei. Positive Solutions for Mixed Boundary Value Problems of OneDimensionalp-Laplacian Equations with Nonlinearities Changing Signs [J]. Journal of Jilin University Science Edition, 2018, 56(3): 578-581.

Solutions to Neumann Boundary Value Problems ofSecond Order Singular Coupled Systems

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10