Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Poisson Stable Solutions of Semi-Linear Differential Equations
Authors: David Cheban
Keywords: Poisson stable motions, linear nonautonomous dynamical systems, semi-linear differential equations
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Keywords: Poisson stable motions, linear nonautonomous dynamical systems, semi-linear differential equations
Abstract
We study the problem of existence of Poisson stable (in particular, almost periodic, almost automorphic, recurrent) solutions to the semi-linear differential equation \begin{equation}\label{eqAb1} x'=(A_0+A(t))x+F(t,x)\nonumber \end{equation} with unbounded closed linear operator $A_0$, bounded operators $A(t)$ and Poisson stable functions $A(t)$ and $F(t,x)$. Under some conditions we prove that there exists a unique (at least one) solution which possesses the same recurrence property as the coefficients.State University of Moldova
Faculty of Mathematics and Computer Science
Laboratory of Fundamental and Applied Mathematics
A. Mateevich Street 60
MD–2009 Chisinau, Moldova
E-mail: ,
Faculty of Mathematics and Computer Science
Laboratory of Fundamental and Applied Mathematics
A. Mateevich Street 60
MD–2009 Chisinau, Moldova
E-mail: ,
DOI
https://doi.org/10.56415/basm.y2024.i1-2.p17Fulltext
– 0.40 Mb
Contents
- Professor Boris Șcerbacov - 100th anniversary
- Metrically piecewise continuous p-almost periodic functions and applications
- Poisson Stable Solutions of Semi-Linear Differential Equations
- Asymptotic behaviour of non-autonomous Caputo fractional differential equations with a one-sided dissipative vector field
- The comparability of motions in dynamical systems and recurrent solutions of (S)PDEs
- The family of cubic differential systems with two real and two complex distinct infinite singularities and invariant straight lines of the type (2,2,2)
- On the attractors of weakly hyperbolic IFS's with condensation
- An optimality criterion for disjoint bilinear programming and its application to the problem with an acute-angled polytope for a disjoint subset
- Completeness of the factor group of a complete topological Abelian group by a discrete subgroup
- Remembering Professor B. A. Shcherbakov (1924-2017)
