Positive Solutions of Boundary Value Problem for a Coupled System of Nonlinear Third-order Diﬀerential Equations

Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (4): 522-531.

Positive Solutions of Boundary Value Problem for a Coupled System of Nonlinear Third-order Diﬀerential Equations

School of Mathematical Sciences, Anhui University

Received:2012-01-09 Online:2013-12-30 Published:2023-02-17
About author:ZHANG Yu-chuan(1985-), male, native of Nanyang, Henan, M.S.D., engages in boundary value problem.
Supported by:
Supported by the National Natural Science Foundation of China(10801001)； Supported by the Natural Science Foundation of Anhui Province(1208085MA13)

Abstract

Abstract: By using cone expansion-compression theorem in this paper, we study boundary value problems for a coupled system of nonlinear third-order differential equation. Some sufficient conditions are obtained which guarantee the boundary value problems for a coupled system of nonlinear third-order differential equation has at least one positive solution. Some examples are given to verify our results.

Key words: boundary value problem, coupled system, positive solution, cone expansion- compression theorem

CLC Number:

O175.8

ZHANG 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.

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Positive Solutions of Boundary Value Problem for a Coupled System of Nonlinear Third-order Diﬀerential Equations

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