Abstract
In this paper we prove the existence of mild solutions of nonlinear neutral time varying multiple delay differential equations in Banach space. The results are obtained by using the Schaefer fixed point theorem. As an application controllability problem is studied for the neutral systems.
| Original language | English |
|---|---|
| Pages (from-to) | 186-193 |
| Number of pages | 8 |
| Journal | Applied Mathematics E - Notes |
| Volume | 6 |
| Publication status | Published - 2006 Jun 29 |
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All Science Journal Classification (ASJC) codes
- Applied Mathematics
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Existence results for nonlinear abstract neutral differential equations with time varying delays. / Balachandran, Krishnan; Kim, Jeong Hoon; Leelamani, Arunachalam.
In: Applied Mathematics E - Notes, Vol. 6, 29.06.2006, p. 186-193.Research output: Contribution to journal › Article
TY - JOUR
T1 - Existence results for nonlinear abstract neutral differential equations with time varying delays
AU - Balachandran, Krishnan
AU - Kim, Jeong Hoon
AU - Leelamani, Arunachalam
PY - 2006/6/29
Y1 - 2006/6/29
N2 - In this paper we prove the existence of mild solutions of nonlinear neutral time varying multiple delay differential equations in Banach space. The results are obtained by using the Schaefer fixed point theorem. As an application controllability problem is studied for the neutral systems.
AB - In this paper we prove the existence of mild solutions of nonlinear neutral time varying multiple delay differential equations in Banach space. The results are obtained by using the Schaefer fixed point theorem. As an application controllability problem is studied for the neutral systems.
UR - http://www.scopus.com/inward/record.url?scp=33745319771&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33745319771&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:33745319771
VL - 6
SP - 186
EP - 193
JO - Applied Mathematics E - Notes
JF - Applied Mathematics E - Notes
SN - 1607-2510
ER -