Existence of solutions to Sobolev-type partial neutraldifferential equations

[摘要] This work is concerned with a nonlocal partial neutraldifferential equation of Sobolev type. Specifically, existence ofthe solutions to the abstract formulations of such type ofproblems in a Banach space is established. The results areobtained by using Schauder's fixed point theorem. Finally, anexample is provided to illustrate the applications of theabstract results.

[学科分类] 应用数学