一类非线性四阶三点边值问题的可解性 Solvability of a Class of Nonlinear Fourth-Order Three-Point Boundary Value Problems

Author: 李玉朋  

Publisher: 汉斯出版社

ISSN: 2160-7605

Source: Pure Mathematics, Vol.03, Iss.01, 2013-01, pp. : 51-55

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Abstract

研究了一类四阶三点边值问题解与正解的存在性。利用一类三阶三点边值问题的Green函数,建立了等价的积分方程组,得到了该类四阶三点边值问题解和正解存在的充分条件。 The existence of solutions and positive solutions for a class of fourth-order three-point boundary value problems is investigated in this paper. Employing the Green function of a third-order three-point boundary value problem, the equivalent integral equation system is established, and some sufficient conditions of existence of solutions and positive solutions are obtained for this class of fourth-order three point boundary value problems.