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

Shruti Agarwal, Dhirendra Bahuguna

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

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

Access to Document

10.1155/JAMSA/2006/16308

Cite this

@article{d35872feb5444d1288f3d1f50d13b477,

title = "Existence of solutions to Sobolev-type partial neutral differential equations",

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.",

author = "Shruti Agarwal and Dhirendra Bahuguna",

year = "2006",

doi = "10.1155/JAMSA/2006/16308",

language = "English (US)",

volume = "2006",

journal = "Journal of Applied Mathematics and Stochastic Analysis",

issn = "1048-9533",

}

TY - JOUR

T1 - Existence of solutions to Sobolev-type partial neutral differential equations

AU - Agarwal, Shruti

AU - Bahuguna, Dhirendra

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33645652159&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33645652159&partnerID=8YFLogxK

U2 - 10.1155/JAMSA/2006/16308

DO - 10.1155/JAMSA/2006/16308

M3 - Article

AN - SCOPUS:33645652159

VL - 2006

JO - Journal of Applied Mathematics and Stochastic Analysis

JF - Journal of Applied Mathematics and Stochastic Analysis

SN - 1048-9533

M1 - 16308

ER -

Existence of solutions to Sobolev-type partial neutral differential equations

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this