Approximations of solutions to neutral functional differential equations with nonlocal history conditions

Dhirendra Bahuguna; Shruti Agarwal

doi:10.1016/j.jmaa.2005.07.010

Approximations of solutions to neutral functional differential equations with nonlocal history conditions

Dhirendra Bahuguna, Shruti Agarwal

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

16 Scopus citations

Abstract

This work is concerned with a class of neutral functional differential equations with nonlocal history conditions in a Hilbert space. The approximation of solution to a class of such problems is studied. Moreover, the convergence of Faedo-Galerkin approximation of solution is shown. For illustration, an example is worked out.

Original language	English (US)
Pages (from-to)	583-602
Number of pages	20
Journal	Journal of Mathematical Analysis and Applications
Volume	317
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2005.07.010
State	Published - May 15 2006
Externally published	Yes

Keywords

Analytic semigroup
Faedo-Galerkin approximation
Nonlocal history condition

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.jmaa.2005.07.010

Cite this

@article{3bbc7731019f4abba0882da79921dd5b,

title = "Approximations of solutions to neutral functional differential equations with nonlocal history conditions",

abstract = "This work is concerned with a class of neutral functional differential equations with nonlocal history conditions in a Hilbert space. The approximation of solution to a class of such problems is studied. Moreover, the convergence of Faedo-Galerkin approximation of solution is shown. For illustration, an example is worked out.",

keywords = "Analytic semigroup, Faedo-Galerkin approximation, Nonlocal history condition",

author = "Dhirendra Bahuguna and Shruti Agarwal",

note = "Funding Information: The authors thank the National Board for Higher Mathematics for providing the financial support to carry out this work under its research project No. NBHM/2001/R&D-II.",

year = "2006",

month = may,

day = "15",

doi = "10.1016/j.jmaa.2005.07.010",

language = "English (US)",

volume = "317",

pages = "583--602",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Approximations of solutions to neutral functional differential equations with nonlocal history conditions

AU - Bahuguna, Dhirendra

AU - Agarwal, Shruti

N1 - Funding Information: The authors thank the National Board for Higher Mathematics for providing the financial support to carry out this work under its research project No. NBHM/2001/R&D-II.

PY - 2006/5/15

Y1 - 2006/5/15

N2 - This work is concerned with a class of neutral functional differential equations with nonlocal history conditions in a Hilbert space. The approximation of solution to a class of such problems is studied. Moreover, the convergence of Faedo-Galerkin approximation of solution is shown. For illustration, an example is worked out.

AB - This work is concerned with a class of neutral functional differential equations with nonlocal history conditions in a Hilbert space. The approximation of solution to a class of such problems is studied. Moreover, the convergence of Faedo-Galerkin approximation of solution is shown. For illustration, an example is worked out.

KW - Analytic semigroup

KW - Faedo-Galerkin approximation

KW - Nonlocal history condition

UR - http://www.scopus.com/inward/record.url?scp=33644590962&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33644590962&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2005.07.010

DO - 10.1016/j.jmaa.2005.07.010

M3 - Article

AN - SCOPUS:33644590962

SN - 0022-247X

VL - 317

SP - 583

EP - 602

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Approximations of solutions to neutral functional differential equations with nonlocal history conditions

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this