Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Evolution Semigroups in Dynamical Systems and Differential Equations

- C. Chicone, Y. Latushkin
- Mathematics
- 10 August 1999

Introduction Semigroups on Banach spaces and evolution semigroups Evolution families and Howland semigroups Characterizations of dichotomy for evolution families Two applications of evolution… Expand

Center Manifolds for Infinite Dimensional Nonautonomous Differential Equations

- C. Chicone, Y. Latushkin
- Mathematics
- 10 December 1997

Abstract We study a nonlinear integral equation for a center manifold of a semilinear nonautonomous differential equation having mild solutions. We assume that the linear part of the equation admits,… Expand

Exponential Dichotomy and Mild Solutions of Nonautonomous Equations in Banach Spaces

- Y. Latushkin, T. Randolph, R. Schnaubelt
- Mathematics
- 1 July 1998

We prove that the exponential dichotomy of a strongly continuous evolution family on a Banach space is equivalent to the existence and uniqueness of continuous bounded mild solutions of the… Expand

Limits of quantum graph operators with shrinking edges

- G. Berkolaiko, Y. Latushkin, Selim Sukhtaiev
- Mathematics, Physics
- 2 June 2018

Abstract We address the question of convergence of Schrodinger operators on metric graphs with general self-adjoint vertex conditions as lengths of some of graph's edges shrink to zero. We determine… Expand

A Spectral Mapping Theorem and Invariant Manifolds for Nonlinear Schr

- F. Gesztesy, Christopher Jones, Y. Latushkin, M. Stanislavova
- Mathematics, Physics
- 17 July 1999

A spectral mapping theorem is proved that resolves a key problem in applying invariant manifold the- orems to nonlinear Schr- odinger type equations. The theo- rem is applied to the operator that… Expand

The Essential Spectrum of the Linearized 2D Euler Operator is a Vertical Band

- R. Shvidkoy, Y. Latushkin
- Mathematics, Physics
- 10 June 2003

We prove that the essential spectrum of the operator obtained by linearization about a steady state of the Euler equations governing the motion of inviscid ideal fluid in dimension two is a vertical… Expand

Stability of Traveling Waves for a Class of Reaction-Diffusion Systems That Arise in Chemical Reaction Models

- A. Ghazaryan, Y. Latushkin, S. Schecter
- Mathematics, Computer Science
- SIAM J. Math. Anal.
- 5 October 2010

TLDR

Evolution Semigroups, Translation Algebras, and Exponential Dichotomy of Cocycles☆

- Y. Latushkin, R. Schnaubelt
- Mathematics
- 10 December 1999

Abstract We study the exponential dichotomy of an exponentially bounded, strongly continuous cocycle over a continuous flow on a locally compact metric space Θ acting on a Banach space X . Our main… Expand

Stability Radius and Internal Versus External Stability in Banach Spaces: An Evolution Semigroup Approach

- S. Clark, Y. Latushkin, S. Montgomery-Smith, T. Randolph
- Mathematics, Computer Science
- SIAM J. Control. Optim.
- 27 November 1998

In this paper the theory of evolution semigroups is developed and used to provide a framework to study the stability of general linear control systems. These include autonomous and nonautonomous… Expand

Hyperbolicity of semigroups and Fourier multipliers

- Y. Latushkin, R. Shvidkoy
- Mathematics
- 28 July 2001

We present a characterization of hyperbolicity for strongly continuous semigroups on Banach spaces in terms of Fourier multiplier properties of the resolvent of the generator. Hyperbolicity with… Expand

...

1

2

3

4

5

...