具积分边值条件奇异四阶耦合微分方程组正解的存在性

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Existence of Positive Solutions for Singular Fourth Order CoupledDifferential Equations with Integral Boundary Value Conditions

SONG Wenjing¹, LI Yuanxiao², CAO Chunling³, FENG Youling⁴

1. School of Applied Mathematics, Jilin University of Finance and Economics, Changchun 130117, China；2. College of Science, Henan University of Technology, Zhengzhou 450001, China；3. College of Mathematics, Jilin University, Changchun 130012, China; 4. School of Management Science and Information Engineering,Jilin University of Finance and Economics, Changchun 130117, China

Received:2016-08-22 Online:2017-07-26 Published:2017-07-13
Contact: CAO Chunling E-mail:caocl@jlu.edu.cn

Abstract

Abstract: By using GuoKrasnoselskii fixed point theorem, we considered the existence of positive solutions for a singular fourth order coupled
differential equations u⁽⁴⁾(t)=ω₁(t)f(t,v(t),v″(t)), v⁽⁴⁾(t)=ω₂(t)g(t,u(t),u″(t)) with integral boundary value conditions, and obtained multiple solutions of the
equations under suitable conditions.

Key words: integral boundary value condition, positive solution, fixed point theorem, singular fourth order coupled equation

CLC Number:

O175

SONG Wenjing, LI Yuanxiao, CAO Chunling, FENG Youling. Existence of Positive Solutions for Singular Fourth Order CoupledDifferential Equations with Integral Boundary Value Conditions[J].Journal of Jilin University Science Edition, 2017, 55(04): 845-852.

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Existence of Positive Solutions for Singular Fourth Order CoupledDifferential Equations with Integral Boundary Value Conditions

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