Existence of solutions to Sobolev-type partial neutral differential equations

Shruti Agarwal, Dhirendra Bahuguna

Research output: Contribution to journalArticlepeer-review

Abstract

This work is concerned with a nonlocal partial neutral differential equation of Sobolev type. Specifically, existence ofthe solutions to the abstract formulations of such type of problems in a Banach space is established. The results are obtained by using Schauder's fixed point theorem. Finally, an example is provided to illustrate the applications of the abstract results.

Original languageEnglish (US)
Article number16308
JournalJournal of Applied Mathematics and Stochastic Analysis
Volume2006
DOIs
StatePublished - 2006
Externally publishedYes

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics

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