无穷区间上积分-微分方程组边值问题正解的存在性和唯一性

doi:10.3976/j.issn.1002-4026.2020.01.017

Abstract

CLC Number:

O175.8

TANG Qiu-yun , WANG Ming-gao. Existence and uniqueness of positive solutions for boundary value problems integro-differential equations on infinite interval[J].Shandong Science, 2020, 33(1): 124-130.

References 13

1	唐秋云, 王明高. 半直线上含导数项的二阶微分方程组边值问题的正解[J]. 数学的实践与认识, 2015, 45(2): 315-320.
2	孙忠民, 张明成. 三阶微分方程组非局部边值问题多个正解的存在性[J]. 山东师范大学学报(自然科学版), 2017, 32(3): 27-33. doi: 10.3969/j.issn.1001-4748.2017.03.005
3	钟璇.两点边值微分方程组多重正解的存在性[J].应用数学进展, 2019, 8(2), 227-234. doi: 10.12677/AAM.2019.82026
4	ZHENG D M, LU S P. Positive solutions of boundary value problems for systems of nonlinear second-order difffferential equations[J]. Chinese Quarterly Journal of Mathematics. 2011, 26(2): 179-184.
5	李红玉，孙经先, 孙飞.非线性微分方程组边值问题的正解[J].数学年刊.2012, 33A(3):329-340.
6	WANG W P. Existence of positive solutions for a fourth-order boundary value problems with p-laplacian operators[J].Chinese Quarterly Journal of Mathematics，2018, 33 (4):377-385. doi: 10.13371/j.cnki.chin.q.j.m.2018.04.005
7	程蓉, 叶国菊, 刘尉, 等. 一类积分微分方程解的存在性和唯一性[J]. 吉林大学学报(理学版), 2019, 57(2): 213-218. doi: 10.13413/j.cnki.jdxblxb.2018180
8	GUO D J. Boundary value problems for impulsive integro-differential equations on unbounded domains in a Banach space[J]. Applied Mathematics and Computation, 1999, 99(1): 1-15. doi: 10.1016/s0096-3003(97)10174-6
9	YAN B Q, LIU Y S. Unbounded solutions of the singular boundary value problems for second order differential equations on the half-line[J]. Applied Mathematics and Computation, 2004, 147(3): 629-644. doi: 10.1016/s0096-3003(02)00801-9
10	LIU Y J, WONG P J Y. Unbounded solutions of BVP for second order ODE with p-Laplacian on the half line[J]. Applications of Mathematics, 2013, 58(2): 179-204. doi: 10.1007/s10492-013-0009-3
11	DJEBALI S, MEBARKI K. Multiple positive solutions for singular BVPs on the positive half-line[J]. Computers Mathematics with Applications, 2008, 55(12): 2940-2952. doi: 10.1016/j.camwa.2007.11.023
12	LIAN H R, GE W G. Existence of positive solutions for Sturm-Liouville boundary value problems on the half-line[J]. Journal of Mathematical Analysis and Applications, 2006, 321(2): 781-792. doi: 10.1016/j.jmaa.2005.09.001
13	GUO Y P, YU C L, WANG J F. Existence of three positive solutions for -point boundary value problems on infiniteintervals[J]. Nonlinear Analysis: Theory, Methods Applications, 2009, 71(3/4): 717-722. doi: 10.1016/j.na.2008.10.126.

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[1]	WANG Ming-gao, TANG Qiu-yun. Existence of positive solutions for the nonlinear impulsive differential system boundary value problem [J]. Shandong Science, 2021, 34(2): 114-122.
[2]	ZHUANG Meiling, WANG Zhaoqing,ZHANG Lei, JI Siyuan. Barycentric rational interpolation collocation method for bending problem of a thin plate in polar coordinates [J]. SHANDONG SCIENCE, 2016, 29(2): 82-87.
[3]	ZHOU Shilei,DONG Xue,DONG Xiaoyu. Existence and multiplicity of positive solutions of secondorder ordinary differential equations [J]. SHANDONG SCIENCE, 2015, 28(6): 116-120.
[4]	WU Xiang-Yun. Existence of symmetric solutions for a kind of second-order threepoint boundary value problem on a measure chain [J]. J4, 2014, 27(2): 98-101.
[5]	LU Hui-Qin, DU Fei-Yan. ontrivial solutions of fourthorder m-point resonance boundary value problem [J]. J4, 2013, 26(6): 5-8.
[6]	GUO Huan, HOU Wen-Ying, LU Hui-Qin. Existence of multiple solutions of a fourth-order three-point boundary value problem with a p-Laplacian operator [J]. J4, 2013, 26(1): 6-9.
[7]	WUXiang-Yun. Existence of positive solutions of a type of beam equation boundary value problems [J]. J4, 2012, 25(5): 6-10.
[8]	HOU Wen-Ying, GUO Huan, LU Hui-Qin. Existence of two positive solutions of singular semipositone boundary value problems [J]. J4, 2012, 25(5): 15-17.
[9]	YUAN Shao-Yan, LIU Yan-Sheng. Existence and uniqueness of the positive solutions of boundary value of a class of singular fractional-order differential equations [J]. J4, 2012, 25(3): 34-38.
[10]	LIU Bing, YAN Bao-Jiang. The uniqueness of the C［0，1］ positive solution of the two-point boundary value problem of the sublinear Emden-Fowler equations [J]. J4, 2012, 25(2): 8-11.
[11]	YU Kang, LIU Yan-Sheng. Existence of positive solutions of third-order nonlinear semipositone differential equations with integral boundary value conditions [J]. J4, 2012, 25(2): 12-16.
[12]	WANG Long, YAN Bao-Qiang. Research on the eigenvalues of nonlocal boundary value problems of a second-order linear differential equation [J]. Shandong Science, 2011, 24(6): 15-18.
[13]	ZHANG Mei, TIAN Cong-Cong, LIU Yan-Sheng. Positive Solutions of FirstOrder Singular Impulsive Boundary Value Problem with Integral Boundary Condition in Banach Space [J]. J4, 2010, 23(6): 9-12.

Existence and uniqueness of positive solutions for boundary value problems integro-differential equations on infinite interval

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