General integro-differential equations and optimal controls on Banach spaces

Sebti Kerbal; Yang Jiang

doi:10.3934/jimo.2007.3.119

General integro-differential equations and optimal controls on Banach spaces

Sebti Kerbal^*, Yang Jiang

^*Corresponding author for this work

Mathematics

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

3 Citations (Scopus)

Abstract

In this paper a general integro-differential equations on Banach space are considered. Existence of α-mild solutions is proved. Existence of optimal controls of systems governed by general integro-differential equations is also presented.

Original language	English
Pages (from-to)	119-128
Number of pages	10
Journal	Journal of Industrial and Management Optimization
Volume	3
Issue number	1
DOIs	https://doi.org/10.3934/jimo.2007.3.119
Publication status	Published - Feb 2007

Keywords

Compactness
Existence
Fractional power space
Mild solution
Optimal control
Semigroup

ASJC Scopus subject areas

Business and International Management
Strategy and Management
Control and Optimization
Applied Mathematics

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10.3934/jimo.2007.3.119

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title = "General integro-differential equations and optimal controls on Banach spaces",

abstract = "In this paper a general integro-differential equations on Banach space are considered. Existence of α-mild solutions is proved. Existence of optimal controls of systems governed by general integro-differential equations is also presented.",

keywords = "Compactness, Existence, Fractional power space, Mild solution, Optimal control, Semigroup",

author = "Sebti Kerbal and Yang Jiang",

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KW - Fractional power space

KW - Mild solution

KW - Optimal control

KW - Semigroup

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General integro-differential equations and optimal controls on Banach spaces

Abstract

Keywords

ASJC Scopus subject areas

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