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Nonautonomous Dynamical Systems

Subject Areas: Analysis
Publisher: Walter de Gruyter - de Gruyter
ISSN: 2353-0626
SJR: 7

Open Access

Journal Article

Nonoscillation Criteria for Two-Dimensional Time-Scale Systems

Öztürk, Özkan; Akın, Elvan

2016 Nonautonomous and Stochastic Dynamical Systems

doi:10.1515/msds-2016-0001

Abstract We study the existence and nonexistence of nonoscillatory solutions of a two-dimensional systemof first-order dynamic equations on time scales. Our approach is based on the Knaster and Schauder fixed point theorems and some certain integral conditions. Examples are given to illustrate...
Open Access

Journal Article

Uniform Stability In Nonlinear Infinite Delay Volterra Integro-differential Equations Using Lyapunov Functionals

Raffoul, Youssef; Rai, Habib

2016 Nonautonomous and Stochastic Dynamical Systems

doi:10.1515/msds-2016-0002

Abstract In (10) the first author used Lyapunov functionals and studied the exponential stability of the zero solution of finite delay Volterra Integro-differential equation. In this paper, we use modified version of the Lyapunov functional that were used in (10) to obtain criterion for the...
Open Access

Journal Article

Periodicity, almost periodicity for time scales and related functions

Wang, Chao; Agarwal, Ravi P.; O’Regan, Donal

2016 Nonautonomous and Stochastic Dynamical Systems

doi:10.1515/msds-2016-0003

Abstract In this paper, we study almost periodic and changing-periodic time scales considered byWang and Agarwal in 2015. Some improvements of almost periodic time scales are made. Furthermore, we introduce a new concept of periodic time scales in which the invariance for a time scale is...
Open Access

Journal Article

Studies on BVPs for IFDEs involved with the Riemann-Liouville type fractional derivatives

Liu, Yuji

2016 Nonautonomous and Stochastic Dynamical Systems

doi:10.1515/msds-2016-0004

Abstract In this article, we present a new method for converting the boundary value problems for impulsive fractional differential systems involved with the Riemann-Liouville type derivatives to integral systems, some existence results for solutions of a class of boundary value problems for...
Open Access

Journal Article

Almost automorphic solution for some stochastic evolution equation driven by Lévy noise with coefficients S 2 −almost automorphic

Mbaye, Mamadou Moustapha

2016 Nonautonomous and Stochastic Dynamical Systems

doi:10.1515/msds-2016-0005

Abstract In this work we first introduce the concept of Poisson Stepanov-like almost automorphic (Poisson S 2 −almost automorphic) processes in distribution. We establish some interesting results on the functional space of such processes like an composition theorems. Next, under some suitable...
Open Access

Journal Article

Laplace Adomian decomposition method for solving a fish farm model

Sambath, M.; Balachandran, K.

2016 Nonautonomous and Stochastic Dynamical Systems

doi:10.1515/msds-2016-0006

Abstract In this work, a combined form of the Laplace transform method and the Adomian decomposition method is implemented to give an approximate solution of nonlinear systems of differential equations such as fish farm model with three components nutrient, fish and mussel. The technique is...

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