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Integral stability criteria of nonlinear differential systemsIntegral stability criteria of nonlinear differential systems

Mathematical and Computer Modelling • 2008
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Publication Information
Authors A A Soliman; M H Abdalla
Keywords Equi-integrally stable; Equi-integrally φ0-stable; Equi-asymptotically integrally stable; Equi-asymptotically integrally φ0-stable
Journal Mathematical and Computer Modelling
Publisher ELSEVIER
Volume 48
Issue 1-2
Pages 258-267
publication.type International
Paper Link Open Link
Supplementary Materials Not Available
Abstract
The notions of equi-integral and -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 -stability of perturbed system of (ODEs). Our technique depends on cone-valued Liapunov function method.