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The Cauchy problem for nonlinear abstract functional differential equations with infinite delay

Jin Liang,Ti‐Jun Xiao

2000 · DOI: 10.1016/S0898-1221(00)00188-7
21 Citations

TLDR

This paper uses existence families and admissible phase spaces to study the Cauchy problem for a class of nonlinear abstract functional differential equations with infinite delay in a unified way and concerns the existence and uniqueness of mild solutions, strong solutions, and classical solutions.