Existence results for nonlinear abstract neutral differential equations with time varying delays

Krishnan Balachandran; Jeong Hoon Kim; Arunachalam Leelamani

Existence results for nonlinear abstract neutral differential equations with time varying delays

Krishnan Balachandran, Jeong Hoon Kim, Arunachalam Leelamani

Department of Mathematics

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

3 Citations (Scopus)

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

All Science Journal Classification (ASJC) codes

Applied Mathematics

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title = "Existence results for nonlinear abstract neutral differential equations with time varying delays",

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.",

author = "Krishnan Balachandran and Kim, {Jeong Hoon} and Arunachalam Leelamani",

year = "2006",

language = "English",

volume = "6",

pages = "186--193",

journal = "Applied Mathematics E - Notes",

issn = "1607-2510",

publisher = "Tsing Hua University",

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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

Y1 - 2006

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.

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M3 - Article

AN - SCOPUS:33745319771

VL - 6

SP - 186

EP - 193

JO - Applied Mathematics E - Notes

JF - Applied Mathematics E - Notes

SN - 1607-2510

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