标题:
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
作者:
李玉朋
关键字:
四阶常微分方程, 三点边值问题, 解和正解, 不动点定理Fourth-Order Ordinary Differential Equation; Three-Point Boundary Value Problem; Solution
and Positive Solution; Fixed Point Theorem
期刊名称:
《Pure Mathematics》, Vol.3 No.1, 2013-01-28
摘要:
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.