Nonlocal cauchy problem for second order integrodifferential evolution equations in banach spaces

K. Balachandran; J. H. Kim

doi:10.11650/twjm/1500404868

Nonlocal cauchy problem for second order integrodifferential evolution equations in banach spaces

K. Balachandran, J. H. Kim

Department of Mathematics

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

2 Citations (Scopus)

Abstract

In this paper we derive a set of sufficient conditions for the existence of mild solutions of second order nonlinear integrodifferential evolution equations with nonlocal conditions in Banach spaces. The results are obtained by applying the Schaefer fixed point theorem. An application is provided to illustrate the technique.

Original language	English
Pages (from-to)	1343-1357
Number of pages	15
Journal	Taiwanese Journal of Mathematics
Volume	11
Issue number	5
DOIs	https://doi.org/10.11650/twjm/1500404868
Publication status	Published - 2007 Dec

All Science Journal Classification (ASJC) codes

Mathematics(all)

Access to Document

10.11650/twjm/1500404868

Cite this

@article{187b586e724a4d94bbbd8d9c8cd7d3b3,

title = "Nonlocal cauchy problem for second order integrodifferential evolution equations in banach spaces",

abstract = "In this paper we derive a set of sufficient conditions for the existence of mild solutions of second order nonlinear integrodifferential evolution equations with nonlocal conditions in Banach spaces. The results are obtained by applying the Schaefer fixed point theorem. An application is provided to illustrate the technique.",

author = "K. Balachandran and Kim, {J. H.}",

year = "2007",

month = dec,

doi = "10.11650/twjm/1500404868",

language = "English",

volume = "11",

pages = "1343--1357",

journal = "Taiwanese Journal of Mathematics",

issn = "1027-5487",

publisher = "Mathematical Society of the Rep. of China",

number = "5",

}

TY - JOUR

T1 - Nonlocal cauchy problem for second order integrodifferential evolution equations in banach spaces

AU - Balachandran, K.

AU - Kim, J. H.

PY - 2007/12

Y1 - 2007/12

N2 - In this paper we derive a set of sufficient conditions for the existence of mild solutions of second order nonlinear integrodifferential evolution equations with nonlocal conditions in Banach spaces. The results are obtained by applying the Schaefer fixed point theorem. An application is provided to illustrate the technique.

AB - In this paper we derive a set of sufficient conditions for the existence of mild solutions of second order nonlinear integrodifferential evolution equations with nonlocal conditions in Banach spaces. The results are obtained by applying the Schaefer fixed point theorem. An application is provided to illustrate the technique.

UR - http://www.scopus.com/inward/record.url?scp=77952158621&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77952158621&partnerID=8YFLogxK

U2 - 10.11650/twjm/1500404868

DO - 10.11650/twjm/1500404868

M3 - Article

AN - SCOPUS:77952158621

SN - 1027-5487

VL - 11

SP - 1343

EP - 1357

JO - Taiwanese Journal of Mathematics

JF - Taiwanese Journal of Mathematics

IS - 5

ER -

Nonlocal cauchy problem for second order integrodifferential evolution equations in banach spaces

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this