• Dichotomy theorems for evolution equations 

    Pogan, Alexandru Alin, 1976- (University of Missouri--Columbia, 2008)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] In the first part of this work, under minimal assumptions, we characterize the Fredholm property and compute the Fredholm index of abstract differential ...
  • The Evans function, the Weyl-Titchmarsh function, and the Birman-Schwinger operators 

    Sukhtayev, Alim (University of Missouri--Columbia, 2012)
    We focus on the spectral stability of travelling wave solutions of partial differential equations. First, we use the Gohberg-Rouche Theorem to prove equality of the algebraic multiplicity of an isolated eigenvalue of an ...
  • Stability and instability results for the 2D [alpha]-Euler equations / 

    Vasudevan, Shibi Kapisthalam, 1984- (University of Missouri--Columbia, 2017)
    We study stability and instability of time independent solutions of the two dimensional a-Euler equations and Euler equations; the a-Euler equations are obtained by replacing the nonlinear term (u [times] [del.])u in the ...
  • Stability estimates for semigroups and partly parabolic reaction diffusion equations 

    Yurov, Valerian (University of Missouri--Columbia, 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 

    Yang, Xinyao (Researcher on mathematics) (University of Missouri--Columbia, 2016)
    The purpose of this thesis is to study stability of one-dimensional traveling waves and multidimensional planar fronts as well as space-independent steady states for a class of reaction diffusion systems that arise in ...
  • Topics in spectral theory of differential operators / 

    Sukhtaiev, Selim, 1990- (University of Missouri--Columbia, 2017)
    This dissertation is devoted to two eigenvalue counting problems: Determining the asymptotic behavior of large eigenvalues of self-adjoint extensions of partial differential operators, and computing the number of negative ...