Now showing items 25-31 of 31

• #### Quadratic Lyapunov theory for dynamic linear switched systems. ﻿

(, 2014-01-28)
In this work, a special class of time-varying linear systems in the arbitrary time scale setting is examined by considering the qualitative properties of their solutions. Building on the work of J. DaCunha and A. Ramos, ...
• #### Restarting the Lanczos algorithm for large eigenvalue problems and linear equations. ﻿

(2008-10-02)
We are interested in computing eigenvalues and eigenvectors of large matrices and in solving large systems of linear equations. Restarted versions of both the symmetric and nonsymmetric Lanczos algorithms are given. For ...
• #### Similarity of blocks in parabolic category O and a wonderful correspondence for modules of covariants. ﻿

(2018-07-13)
Let (g,k) be the pair of complexified Lie algebras corresponding to an irreducible Hermitian symmetric space of noncompact type. Then we have an associated triangular decomposition g = p− ⊕ k ⊕ p+, and q = k ⊕ p+ is a ...
• #### Solving degenerate stochastic Kawarada partial differential equations via adaptive splitting methods. ﻿

(2017-07-08)
In this dissertation, we explore and analyze highly effective and efficient computational procedures for solving a class of nonlinear and stochastic partial differential equations. We are particularly interested in ...
• #### Spectral functions for generalized piston configurations. ﻿

(, 2012-11-29)
In this work we explore various piston configurations with different types of potentials. We analyze Laplace-type operators P=-g^ij ∇^E_i ∇ ^E_j+V where V is the potential. First we study delta potentials and rectangular ...
• #### Uniqueness implies uniqueness and existence for nonlocal boundary value problems for fourth order differential equations. ﻿

(2006-07-07)
In this dissertation, we are concerned with uniqueness and existence of solutions of certain types of boundary value problems for fourth order differential equations. In particular, we deal with uniqueness implies uniqueness ...
• #### Uniqueness implies uniqueness and existence for nonlocal boundary value problems for third order ordinary differential equations. ﻿

(2006-07-29)
For the third order ordinary differential equation, $y'''=f(x,y,y',y'')$, it is assumed that, for some $m\geq 4$, solutions of nonlocal boundary value problems satisfying $y(x_1)=y_1,\ y(x_2)=y_2,$ \[y(x_m)-\sum_{i= ...