Results 31 to 40 of about 363,931 (208)

A center-stable manifold theorem for differential equations in Banach spaces

, 1993
T. Gallay
semanticscholar   +3 more sources

Spectral sets as Banach manifolds [PDF]

Pacific Journal of Mathematics, 1985
Let A be a commutative Banach algebra, and M a closed analytic submanifold of \(C^ n\). In case A is semisimple, the spectral set \(A_ M\) may be defined as \(A_ M=\{a\in A^ n:sp(a_ 1,...,a_ n)\subset M\},\) if A is not semisimple, a more complicated definition involving the holomorphic functional calculus must be given. For example, if A is a function
Larotonda, Angel, Zalduendo, Ignacio
openaire   +4 more sources

A general center manifold theorem on fields of Banach spaces

Discrete and Continuous Dynamical Systems - B
Mazyar Ghani Varzaneh, S. Riedel
semanticscholar   +2 more sources

A Dynamical Theory for Singular Stochastic Delay Differential Equations I: Linear Equations and a Multiplicative Ergodic Theorem on Fields of Banach Spaces

SIAM Journal on Applied Dynamical Systems, 2022
We show that singular stochastic delay differential equations (SDDEs) induce cocycle maps on a field of Banach spaces. A general Multiplicative Ergodic Theorem on fields of Banach spaces is proved and applied to linear SDDEs.
Mazyar Ghani Varzaneh, Sebastian Riedel, M. Scheutzow   +2 more
semanticscholar   +1 more source

Viscosity method for hierarchical variational inequalities and variational inclusions on Hadamard manifolds

Journal of Inequalities and Applications, 2021
This article aims to introduce and analyze the viscosity method for hierarchical variational inequalities involving a ϕ-contraction mapping defined over a common solution set of variational inclusion and fixed points of a nonexpansive mapping on Hadamard
Doaa Filali, Mohammad Dilshad, Mohammad Akram, Feeroz Babu, Izhar Ahmad   +4 more
doaj   +1 more source

Reduction principle at work

Nonautonomous Dynamical Systems, 2021
The purpose of this informal paper is three-fold: First, filling a gap in the literature, we provide a (necessary and sufficient) principle of linearized stability for nonautonomous difference equations in Banach spaces based on the dichotomy spectrum ...
Pötzsche Christian, Russ Evamaria
doaj   +1 more source

Stability and Persistence of Synchronization in a System with a Diffusive-Time-Lag Coupling

Sultan Qaboos University Journal for Science, 2008
We study synchronization in the framework of invariant manifold theory for systems with a time lag.  Normal hyperbolicity and its persistence in infinite dimensional dynamical systems in Banach spaces is applied to give general results on synchronization
Adu A.M. Wasike
doaj   +1 more source

On the generalization of the Darboux theorem

Pracì Mìžnarodnogo Geometričnogo Centru, 2019
Darboux theorem to more general context of Frechet manifolds we face an obstacle:  in general vector fields do not have local flows. Recently, Fr\'{e}chet geometry has been developed in terms of projective limit of Banach manifolds.
Kaveh Eftekharinasab
doaj   +1 more source

Conjugacy of a Discrete Semidynamical System in a Neighbourhood of the Nontrivial Invariant Manifold

International Journal of Differential Equations, 2014
The conjugacy of a discrete semidynamical system and its partially decoupled discrete semidynamical system in a Banach space is proved in a neighbourhood of the nontrivial invariant manifold.
Andrejs Reinfelds
doaj   +1 more source

Asymptotic Integration of Certain Differential Equations in Banach Space

Моделирование и анализ информационных систем, 2017
We investigate the problem of constructing the asymptotics for weak solutions of certain class of linear differential equations in the Banach space as the independent variable tends to infinity.
Pavel N. Nesterov
doaj   +1 more source