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Integral stability criteria of nonlinear differential systems
Journal article   Peer reviewed

Integral stability criteria of nonlinear differential systems

A. A. Soliman and M. H. Abdalla
Mathematical and computer modelling, Vol.48(1-2), pp.258-267
01/07/2008
DOI: https://doi.org/10.1016/j.mcm.2007.10.001

Abstract

Computer Science Computer Science, Interdisciplinary Applications Computer Science, Software Engineering Mathematics Mathematics, Applied Physical Sciences Science & Technology Technology
The notions of equi-integral and phi(0)-stability for systems of ordinary differential equations (ODEs) were introduced and extended. The notions of equi-integral stability are extended to the so-called equi-integral phi(0)-stability of perturbed system of (ODEs). Our technique depends on cone-valued Liapunov function method. (C) 2007 Elsevier Ltd. All rights reserved.

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