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
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。
Abstract: 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.
文章引用：李玉朋. 一类非线性四阶三点边值问题的可解性[J]. 理论数学, 2013, 3(1): 51-55. http://dx.doi.org/10.12677/PM.2013.31009

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