Browsing Department of Mathematics (MU) by Thesis Advisor "Latushkin, Yuri, 1956"
Now showing items 14 of 4

Dichotomy theorems for evolution equations
(University of MissouriColumbia, 2008)In the first part of this work, under minimal assumptions, we characterize the Fredholm property and compute the Fredholm index of abstract differential operators d/dt + A([dot]) acting on spaces of functions R [arrow] ... 
The Evans function, the WeylTitchmarsh function, and the BirmanSchwinger operators
(University of MissouriColumbia, 2012)We focus on the spectral stability of travelling wave solutions of partial differential equations. First, we use the GohbergRouche Theorem to prove equality of the algebraic multiplicity of an isolated eigenvalue of an ... 
Stability estimates for semigroups and partly parabolic reaction diffusion equations
(University of MissouriColumbia, 2013)The purpose of my dissertation is the application of the methods of abstract theory of strongly continuous operator semigroups (and of evolution semigroups in particular) to study of the spectral properties of a class of ... 
Stability of planar fronts for a class of reaction diffusion systems
(University of MissouriColumbia, 2016)The purpose of this thesis is to study stability of onedimensional traveling waves and multidimensional planar fronts as well as spaceindependent steady states for a class of reaction diffusion systems that arise in ...