Browsing by Author "Zeinev A."

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    A criterion to uniform stability for functional perturbed differential equations
    (2016-01-01) Ahmad A.; Haider K.; Javad N.; Zeinev A.
    In this paper we consider a class of non autonomous ODEs with a functional perturbation. For the unperturbed equation a Lyapunov function bounded by two quadratic forms is known. The Lipschitzean rate of the vector field along with some additional requirements to the derivatives of the Lyapunov function guarantee existence of uniform stable solutions. A sufficient condition that guarantees uniform stability of the zero-solution to the equation under consideration is discussed.
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    Caratheodory differential equations on cones
    (2015-01-01) Donchev T.; Kolev D.; Lazi A.; Nosheen A.; Rafaqat M.; Zeinev A.
    In this paper we prove that almost all, in Baire sense, differential equations with Scorza Dragoni right-hand side, defined on closed convex cone of a Banach space, have unique solution. This solution depends continuously on the right-hand side and on the initial condition. The results are applied to fuzzy differential equations and to differential inclusions.