一类中立型微分方程非局部共振问题解的存在性

Existence of solutions for a kind of neutral differential equation with nonlocal value conditions at resonance

研究了一类二阶中立型泛函微分方程非局部共振问题解的存在性,利用一些分析技巧和k-集压缩映射理论得到了该类边值问题至少存在一个解的充分条件,得到了一些新的结果,补充和完善了一些已有的工作.

The existence of solutions for a kind ot neutral functional differential equation with nonlocal value conditions at resonance is studied. Some sufficient conditions for the existence of at least one solutions to this boundary value problem are obtained by employing some analysis tech- niques and the k-set contractive operator theory. Some known results are generalized and im- proved.