Positive Solutions of Boundary Value Problems for Systems of Nonlinear Second-order Differential Equations 被引量：3

Positive Solutions of Boundary Value Problems for Systems of Nonlinear Second-order Differential Equations

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摘要由使用定点索引理论，我们为非线性的秒顺序的系统学习边界价值问题积极答案的存在和复合上的微分方程，和结果被获得。 By using fixed-point index theory,we study boundary value problems for systems of nonlinear second-order differential equation,and a result on existence and multiplicity of positive solutions is obtained.

作者 ZHENG Dong-mei LU Shi-ping

机构地区 Department of Mathematics The High School Affiliated to Anhui Normal University

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第2期179-184,共6页 数学季刊（英文版）

基金 Sponsored by the NSF of Anhui Provence(2005kj031ZD,050460103) Supported by the Teaching and Research Award Program for Excellent Teachers in Higher Education Institutions of Anhui Provence and the Key NSF of Education Ministry of China(207047)

关键词边界价值问题定点索引积极答案锥 boundary value problems fixed-point index positive solution cone

分类号 O175.15 [理学—基础数学]

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参考文献10

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同被引文献20

1MA :Ru-yun. Multiplicity of positive solutions for second-order three-point boundary value problems[J] Computers Mathematics with Applications, 2000, 40: 193-204.
2YAO Qing-liu. Existence and multiplicity of positive solutions for a class of second-order three-point non- linear boundary value problems[J]. Acta Mathematica Sinica, 2002, 6: 1057-1064.
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10YANG Zhi-lin. Positive solutions of boundary value problems for systems of nonlinear second ordinary differential equations[J]. Acta Math Sinica, 2004, 47(1): 111-118.

引证文献3

1ZHANG Yu-chuan ZHOU Zong-fu XU Xin.Positive Solutions of Boundary Value Problem for a Coupled System of Nonlinear Third-order Differential Equations[J].Chinese Quarterly Journal of Mathematics,2013,28(4):522-531.
2唐秋云,王明高.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[J].山东科学,2020,33(1):124-130.
3景证棋,路艳琼.一类带非线性边界条件的二阶差分方程正解的多解性[J].应用数学进展,2022,11(7):4129-4141.

1Xing Qiu ZHANG 1,2 1.School of Mathematics and Statistics,Huazhong University of Science and Technology,Hubei 430074,P.R.China,2.School of Mathematics,Liaocheng University,Shandong 252059,P.R.China.Existence of Positive Solutions for Systems of Nonlinear Second-Order Differential Equations on the Half Line in a Banach Space[J].Journal of Mathematical Research and Exposition,2011,31(4):587-604. 被引量：1
2吴惠彬,吴润衡.Lagrange-Noether method for solving second-order differential equations[J].Chinese Physics B,2009,18(9):3647-3650. 被引量：1
3You Ming ZHOU Yi CAO.Triple Positive Solutions of the Multi-Point Boundary Value Problem for Second-Order Differential Equations[J].Journal of Mathematical Research and Exposition,2010,30(3):475-486. 被引量：1
4Liu BinDept.ofMath.,HuazhongUniv.ofScienceandTechnology,Wuhan430074,China.CollegeofMath.andStatist.,WuhanUniv.,Wuhan430072,China.EXISTENCE OF THREE-SOLUTIONS FOR SECOND-ORDER DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY VALUE CONDITIONS[J].Applied Mathematics(A Journal of Chinese Universities),2002,17(2):135-144.
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9Zai Hong WANG Department of Mathematics, Capital Normal University. Beijing 100037. P. R. China.Existence and Multiplicity of Periodic Solutions of the Second-Order Differential Equations with Jumping Nonlinearities[J].Acta Mathematica Sinica,English Series,2002,18(3):615-624. 被引量：2
10温立志.BOUNDEDNESS OF A CLASS OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS AND SECOND-ORDER DIFFERENTIAL EQUATIONS WITH DELAY[J].Chinese Science Bulletin,1985,30(8):1005-1008.

Chinese Quarterly Journal of Mathematics

2011年第2期

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Positive Solutions of Boundary Value Problems for Systems of Nonlinear Second-order Differential Equations 被引量：3

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