Existence and controllability result for semilinear evolution integrodifferential systems

R. Sakthivel; S. M. Anthoni; J. H. Kim

doi:10.1016/j.mcm.2004.03.007

Existence and controllability result for semilinear evolution integrodifferential systems

R. Sakthivel, S. M. Anthoni, J. H. Kim

Department of Mathematics

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

28 Citations (Scopus)

Abstract

This paper focuses on existence and controllability results of nonautonomous semilinear evolution integrodifferential systems in Banach spaces. Without imposing severe compactness condition on the resolvent operators, we obtain sufficient conditions for the existence and controllability results by using a fixed-point analysis approach. Finally, we apply these to a control system governed by distributed parameter systems.

Original language	English
Pages (from-to)	1005-1011
Number of pages	7
Journal	Mathematical and Computer Modelling
Volume	41
Issue number	8-9
DOIs	https://doi.org/10.1016/j.mcm.2004.03.007
Publication status	Published - 2005 Apr

Bibliographical note

Funding Information:
The work of the first author was supported by Grants-in-Aid for Scientific Research of The Japan Society for the

Funding Information:
Promotion of Science under Grant 1503045. The work of second and third authors was supported by Brain Korea 21 project at Yqnsei University, 2003.

All Science Journal Classification (ASJC) codes

Modelling and Simulation
Computer Science Applications

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10.1016/j.mcm.2004.03.007

Cite this

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title = "Existence and controllability result for semilinear evolution integrodifferential systems",

abstract = "This paper focuses on existence and controllability results of nonautonomous semilinear evolution integrodifferential systems in Banach spaces. Without imposing severe compactness condition on the resolvent operators, we obtain sufficient conditions for the existence and controllability results by using a fixed-point analysis approach. Finally, we apply these to a control system governed by distributed parameter systems.",

author = "R. Sakthivel and Anthoni, {S. M.} and Kim, {J. H.}",

note = "Funding Information: The work of the first author was supported by Grants-in-Aid for Scientific Research of The Japan Society for the Funding Information: Promotion of Science under Grant 1503045. The work of second and third authors was supported by Brain Korea 21 project at Yqnsei University, 2003.",

year = "2005",

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doi = "10.1016/j.mcm.2004.03.007",

language = "English",

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AU - Sakthivel, R.

AU - Anthoni, S. M.

AU - Kim, J. H.

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PY - 2005/4

Y1 - 2005/4

N2 - This paper focuses on existence and controllability results of nonautonomous semilinear evolution integrodifferential systems in Banach spaces. Without imposing severe compactness condition on the resolvent operators, we obtain sufficient conditions for the existence and controllability results by using a fixed-point analysis approach. Finally, we apply these to a control system governed by distributed parameter systems.

AB - This paper focuses on existence and controllability results of nonautonomous semilinear evolution integrodifferential systems in Banach spaces. Without imposing severe compactness condition on the resolvent operators, we obtain sufficient conditions for the existence and controllability results by using a fixed-point analysis approach. Finally, we apply these to a control system governed by distributed parameter systems.

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JF - Mathematical and Computer Modelling

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ER -

Existence and controllability result for semilinear evolution integrodifferential systems

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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