Results 31 to 40 of about 6,032 (198)

Roughness of the Controllability for Time Varying Systems Under the Influence of Impulses, Delay, and Nonlocal Conditions

Nonautonomous Dynamical Systems, 2020
In this paper, we prove that the controllability of time varying linear system is preserved if we add impulses, delay and nonlocal conditions on it. In order to do that, we assume some conditions on the non-linear terms and apply the Rothe’s fixed point ...
Leiva Hugo, Cabada Dalia, Gallo Rodolfo
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Periodic Solution for some Class of Linear Partial Differential Equation with infinite Delay using Semi-Fredholm perturbations

Nonautonomous Dynamical Systems, 2022
In this work, we study the existence of periodic solutions for a class of linear partial functional differential equations with infinite delay. Inspiring by an existing study, by applying the perturbation theory of semi-Fredholm operators, we introduce a
Elazzouzi Abdelhai, Ezzinbi Khalil, Kriche Mohammed   +2 more
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The mean-square dichotomy spectrum and a bifurcation to a mean-square attractor [PDF]

, 2014
The dichotomy spectrum is introduced for linear mean-square random dynamical systems, and it is shown that for finite-dimensional mean-field stochastic differential equations, the dichotomy spectrum consists of finitely many compact intervals. It is then
Doan, Thai Son, Kloeden, Peter E., Rasmussen, Martin   +2 more
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Existence and Multiplicity of Weak Solutions for a Neumann Elliptic Problem with -Laplacian

Nonautonomous Dynamical Systems, 2020
We are interested in the existence of multiple weak solutions for the Neumann elliptic problem involving the anisotropic -Laplacian operator, on a bounded domain with smooth boundary.
Bohner Martin, Caristi Giuseppe, Gharehgazlouei Fariba, Heidarkhani Shapour   +3 more
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On the existence of global weak solutions of a 2D sediment transport model

Nonautonomous Dynamical Systems, 2022
In the abstract, homogenize the references as follows: In this paper,we study the existence of global weak solutions of a two dimensionnal model. The model is inspired by the one studied in [Math. Models Methods Appl. Sci. 19 (2009), 477-499].
Zongo Yacouba, Roamba Brahima, Yira Boulaye, De Dieu Zabsonré Jean   +3 more
doaj   +1 more source

Global bifurcation of homoclinic trajectories of discrete dynamical systems [PDF]

, 2012
We prove the existence of an unbounded connected branch of nontrivial homoclinic trajectories of a family of discrete nonautonomous asymptotically hyperbolic systems parametrized by a circle under assumptions involving the topological properties of the ...
A. Abbondandolo, A.G. Baskakov, C. Pötzsche, C. Pötzsche, C. Pötzsche, D. Husemoller, G. Bachman, J. Pejsachowicz, J. Pejsachowicz, J. Pejsachowicz, J. Pejsachowicz, J. Pejsachowicz, J.C. Alexander, M. Rasmussen, M.F. Atiyah, P.M. Fitzpatrick, P.M. Fitzpatrick, R.J. Sacker, S. Secchi, T. Bartsch, T. Kato   +20 more
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Topological entropy of nonautonomous dynamical systems [PDF]

Journal of Differential Equations, 2020
Let $\mathcal{M}(X)$ be the space of Borel probability measures on a compact metric space $X$ endowed with the weak$^\ast$-topology. In this paper, we prove that if the topological entropy of a nonautonomous dynamical system $(X,\{f_n\}_{n=1}^{+\infty})$ vanishes, then so does that of its induced system $(\mathcal{M}(X),\{f_n\}_{n=1}^{+\infty ...
Liu, Kairan, Qiao, Yixiao, Xu, Leiye
openaire   +2 more sources

Local attractivity for integro-differential equations with noncompact semigroups

Nonautonomous Dynamical Systems, 2020
In this paper, we are devoted to study the existence and local attractivity of solutions for a class of integro-differential equations.Under the situation that the nonlinear term satisfy Carathéodory conditions and a noncompactness measure condition, we ...
Diop Amadou, Diop Mamadou Abdoul, Diallo Ouaténi, Traoré Mariam B   +3 more
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Mathematical modeling of the dynamics of vector-borne diseases transmitted by mosquitoes : taking into account aquatic stages and gonotrophic cycle

Nonautonomous Dynamical Systems, 2022
In this paper, we formulate a mathematical model of vector-borne disease dynamics. The model is constructed by considering two models : a baseline model of vector population dynamics due to Lutambi et al.
Diabaté Abou Bakari, Sangaré Boureima, Koutou Ousmane   +2 more
doaj   +1 more source

Lyapunov functions for linear nonautonomous dynamical equations on time scales [PDF]

, 2006
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform exponential asymptotic stability of the zero solution of a nonautonomous linear dynamical equation on a time scale with uniformly bounded ...
Kloeden, Peter E., Zmorzynska, Alexandra
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