非线性三阶两点边值问题的可解性

Solvability of third-order tow-point boundary value problems

讨论了一类非线性项含一阶和二阶导数的三阶两点边值问题的可解性.在非线性项f满足线性增长的限制条件下,通过构造适当的Banach空间并利用Leray-Schauder非线性抉择,证明了一个存在性定理.

The solvability was considered for a class of third-order two-point boundary value problem with first and second derivatives. When nonlinear term f satisfied a restriction of linear growth, by constructing a suitable Banach space and applying the Leray-Schauder nonlinear alternative, an existence theorem was proved.