一类三阶两点边值问题的可解性

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的条件下.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定理.

Solvability for a Third-order Tow-order Boundary Value Problems

The solvability is considered for a class of third-order two-point boundary value problems in which the nonlinear term f with first and second derivatives,and satisfies a restriction of linear growth.By constructing a suitable Banach space and applying the Leray-Schauder nonlinear alternative,an existence theorem is proved.