In this paper, a viability results for nonlinear retarded reaction–diffusion system with the non-local retarded initial condition are studied. The existence, uniqueness and global asymptotic stability of $C^0$-solutions are investigated. Based on the compactness arguments, Tychonoff fixed point theorem and invariance technique, the proof of our main results is presented.

中文翻译：

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具有非局部滞后初始条件的非线性反应扩散系统积分解的存在性和唯一性

本文研究了具有非局部滞后初始条件的非线性滞后反应扩散系统的生存力结果。的存在性，唯一性和全局渐近稳定性$C^0$-研究解决方案。基于紧度论证，Tychonoff不动点定理和不变性技术，给出了我们主要结果的证明。