Invariant sets and comparison of dynamical systems

Алілуйко, Андрій Миколайович; Mazko, A. G.

doi:10.1007/s11072-007-0012-2

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The Proof Of Assertion (Iii) Is Analogous To the Proof Of As1

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2008

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“…In [11], a method was proposed for the construction of invariant sets of differential systems in the form…”

Section: The Proof Of Assertion (Iii) Is Analogous To the Proof Of Asmentioning

confidence: 99%

Cone inequalities and stability of differential systems

Mazko¹

2008

Ukr Math J

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We investigate generalizations of classes of monotone dynamical systems in a partially ordered Banach space. We establish algebraic conditions for the stability of equilibrium states of differential systems on the basis of linearization and application of derivatives of nonlinear operators with respect to a cone. Conditions for the positivity and absolute stability of a certain class of differential systems with delay are proposed. Several illustrative examples are given.

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“…In [11], a method was proposed for the construction of invariant sets of differential systems in the form…”

Section: The Proof Of Assertion (Iii) Is Analogous To the Proof Of Asmentioning

confidence: 99%