摘要
本文得用Ｂｏｌｚａｎｏ定理，给出了三阶非线性常微分方程具非线性两点边界条件的边值问题（１）（２）存在解与存在唯一解的一般结果，并将所得结果应用于Ｌｉｐｓｃｈｉｔｚ方程，对Ｌｉｐｓ－ｃｈｉｔｚ方程满足（２）。
In this paper by using the Bolzanos theorem gives the generality results of the existence and uniqueness of solutions of nonlinear two point boundary value problems for third order nonlinear differential equations,i.e.(1)(2),as well ad the applications of obtaind results to Lipschitz equations and concrete sufficient conditions of the existence and uniqueness of solutions of boundary problems which posses boundary value conditions (2) and (3) for Lipschitz equation
出处
《数学杂志》
CSCD
1997年第2期261-266,共6页
Journal of Mathematics
