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中文摘要：
考虑在Banaeh空间非柱形域Ω上，微分系统 （IVP；τ，z0）{z′=（x′，y′）=（f1（t,x,y） f2（t,x,y）=f（t,z）,（t,z）∈Ω，z（τ）=（x（τ） y（τ））=z0=（x0 y0）解的局部存在性，其中f1，f2分别满足祭性条件与耗散性条件，得到的结果推广并完善了已有的相关结果。
英文摘要：
The existence of solutions for the following differential system （IVP;τ,z0）{z′=（x′,y′）=（f1（t,x,y） f2（t,x,y）=f（t,z）,（t,z）∈Ω,z（τ）=（x（τ） y（τ））=z0=（x0 y0）in Banach space was investigated, where fl and f2 respectively meet noncompact condition and dissipative condition. The results extend and improve some known results.
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