Refinements of some Pachpatte and Bihari inequalities on time scales

Bacem Ben Nasser; K. Boukerrioua; M. Defoort; M. Djemai; M. A. Hammami

Refinements of some Pachpatte and Bihari inequalities on time scales

Bacem Ben Nasser, K. Boukerrioua, M. Defoort, M. Djemai, M. A. Hammami

Computer, Electrical and Mathematical Sciences and Engineering

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

4 Scopus citations

Abstract

In this study, some generalizations and refinements of some inequalities of Pachpatte and Bellman-Bihari types are established on arbitrary time domains using the time scale theory. The obtained results unify continuous and discrete inequalities and extend some results known in the literature. The paper ends up with two illustrative examples to highlight the utility of our results.

Original language	English (US)
Pages (from-to)	388-401
Number of pages	14
Journal	Nonlinear Dynamics and Systems Theory
Volume	17
Issue number	4
State	Published - Jan 1 2017

Cite this

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AU - Ben Nasser, Bacem

AU - Boukerrioua, K.

AU - Defoort, M.

AU - Djemai, M.

AU - Hammami, M. A.

N1 - KAUST Repository Item: Exported on 2020-10-06

PY - 2017/1/1

Y1 - 2017/1/1

N2 - In this study, some generalizations and refinements of some inequalities of Pachpatte and Bellman-Bihari types are established on arbitrary time domains using the time scale theory. The obtained results unify continuous and discrete inequalities and extend some results known in the literature. The paper ends up with two illustrative examples to highlight the utility of our results.

AB - In this study, some generalizations and refinements of some inequalities of Pachpatte and Bellman-Bihari types are established on arbitrary time domains using the time scale theory. The obtained results unify continuous and discrete inequalities and extend some results known in the literature. The paper ends up with two illustrative examples to highlight the utility of our results.

UR - http://hdl.handle.net/10754/665443

UR - http://www.e-ndst.kiev.ua/v17n4/7(61)a.pdf

UR - http://www.scopus.com/inward/record.url?scp=85033686094&partnerID=8YFLogxK

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JO - Nonlinear Dynamics and Systems Theory

JF - Nonlinear Dynamics and Systems Theory

IS - 4

ER -

Refinements of some Pachpatte and Bihari inequalities on time scales

Abstract

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