Results 11 to 20 of about 482 (176)

Viability for Nonautonomous Semilinear Differential Equations

Journal of Differential Equations, 2000
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Cârjă, Ovidiu, Monteiro Marques, Manuel D.P.   +1 more
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Bounded and almost periodic solutions and evolution semigroups associated with nonautonomous functional differential equations

Abstract and Applied Analysis, 2000
We study evolution semigroups associated with nonautonomous functional differential equations. In fact, we convert a given functional differential equation to an abstract autonomous evolution equation and then derive a representation theorem for the ...
Bernd Aulbach, Nguyen Van Minh
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Method of Limiting Differential Inclusions and Asymptotic Behavior of Systems with Relay Controls

Известия Иркутского государственного университета: Серия "Математика", 2022
In this paper, problems of asymptotic behavior of non-autonomous controlled systems with a matrix of derivatives and the feedbacks of relay type are considered.
I. A. Finogenko
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Some analytical properties of dissolving operators related with the Cauchy problem for a class of nonautonomous partial differential equations. Part 1 [PDF]

Opuscula Mathematica, 2006
The analytical properties of dissolving operators related with the Cauchy problem for a class of nonautonomous partial differential equations in Hilbert spaces are studied using theory of bi-linear forms in respectively rigged Hilbert spaces triples ...
Marzena Pytel-Kudela, Anatoliy K. Prykarpatsky   +1 more
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On the stability of nonautonomous binary dynamical systems of partial differential equations

Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2013
Nonlinear nonautonomoua binary reaction-diffusion dynamical systems of partial differential equations (PDE) are considered. Stability criteria - via a nonautonomous L²-energy - are obtained.
Salvatore Rionero
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On Nonautonomous Functional Differential Equations

Journal of Mathematical Analysis and Applications, 1999
The author investigates the existence of an evolution family for the nonautonomous Cauchy problem \[ x'(t)= A(t) x(t),\quad 0\leq s\leq t\leq T,\quad x(s)= x, \] in a Banach space \(X\). Each \(A(t)\) is a linear operator on \(X\). The following result is obtained: Let \(X\), \(Y\), and \(D\) be Banach spaces, \(D\) densely and continuously imbedded in
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On the solvability of initial-value problems for nonlinear implicit difference equations

Advances in Difference Equations, 2004
Our aim is twofold. First, we propose a natural definition of index for linear nonautonomous implicit difference equations, which is similar to that of linear differential-algebraic equations.
Ha Thi Ngoc Yen, Pham Ky Anh
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The Existence of Periodic Solutions for Non-Autonomous Differential Delay Equations via Minimax Methods

Advances in Difference Equations, 2009
By using variational methods directly, we establish the existence of periodic solutions for a class of nonautonomous differential delay equations which are superlinear both at zero and at infinity.
Rong Cheng
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The Existence and Stability of a Periodic Solution of a Nonautonomous Delayed Reaction–Diffusion Predator–Prey Model

Axioms
In this study, we research a nonautonomous, three-species, delayed reaction–diffusion predator–prey model (RDPPM). Firstly, we derive sufficient conditions to guarantee the existence of a strictly positive, spatially homogeneous periodic solution (SHPS ...
Lili Jia, Changyou Wang
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Lower Bounds of Periods of Periodic Solutions for a Class of Differential Equations with Variable Delays

Journal of Applied Mathematics, 2013
Based on generalized Wirtinger's inequality, periods of periodic solutions of the nonautonomous differential equations with variable delays are investigated.
Xin-Ge Liu, Mei-Lan Tang
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