Existence of solutions to Sobolev-type partial neutral differential equations

Shruti Agarwal; Dhirendra Bahuguna

doi:10.1155/JAMSA/2006/16308

Existence of solutions to Sobolev-type partial neutral differential equations

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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 language	English (US)
Article number	16308
Journal	Journal of Applied Mathematics and Stochastic Analysis
Volume	2006
DOIs	https://doi.org/10.1155/JAMSA/2006/16308
State	Published - 2006
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
Applied Mathematics

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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.",

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Existence of solutions to Sobolev-type partial neutral differential equations

Abstract

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