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publication name Integral stability criteria of nonlinear differential systemsIntegral stability criteria of nonlinear differential systems
Authors A A Soliman; M H Abdalla
year 2008
keywords Equi-integrally stable; Equi-integrally φ0-stable; Equi-asymptotically integrally stable; Equi-asymptotically integrally φ0-stable
journal Mathematical and Computer Modelling
volume 48
issue 1-2
pages 258-267
publisher ELSEVIER
Local/International International
Paper Link https://reader.elsevier.com/reader/sd/pii/S0895717707003172?token=1F6F0DCC0F9F30299E07C849DC65D230316AEB0B43CE484948B5A7E5A85D196A1B98C7CA1EB61C15F9277722FF5D9D0D&originRegion=eu-west-1&originCreation=20230207180638
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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.

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