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SturmLiouville Equations with Singular Endpoints of Poincaré Rank Zero and One
(201705)In this dissertation, my objective is to study, for x ∊ (0, ∞), the equations (1) (xy′)′ + (‐v²/x + λ x)y = 0, with a view to obtaining representations of solutions near the singular endpoints, connection formulas for ... 
On the Classification of the Second Minimal Orbits of the Continuous Endomorphisms on the Real Line and Universality in Chaos
(201704)This dissertation presents full classification of second minimal odd periodic orbits of a continuous endomorphisms on the real line. A (2k + 1)periodic orbit (k ≥ 3) is called second minimal for the map f, if 2k−1 is a ... 
New Bounds for the koutofn Type Probabilities and Their Applications
(201704)The contribution of the shape information of the underlying distribution in probability bounding problem is investigated and an efficient linear programming based bounding methodology, which takes advantage of the advanced ... 
InitialBoundary and Nonlocal Boundary Value Problems for Higher Order Nonlinear Hyperbolic Equations with Two Independent Variables
(201705)Boundary value problems in a characteristic rectangle for nonlinear hyperbolic equations of higher order are considered. The concept of strong well–posedness of a boundary value problem is introduced. For initial–boundary ... 
Discrete and Continuous Operational Calculus in Stochastic Games
(201612)First, we consider a class of antagonistic stochastic games between two players A and B. The game is specified in terms of two "hostile" stochastic processes representing mutual attacks upon random times exerting casualties ... 
On the Inverse Multiphase Stefan Problem
(201507)We consider inverse multiphase Stefan problem, where information on the heat flux on the fixed boundary is missing and must be found along with the temperature and free boundaries. Optimal control framework is pursued, ... 
Random Walks on Random Lattices and Their Applications
(201505)This work studies a class of continuoustime, multidimensional random walk processes with mutually dependent random step sizes and their exits from hyperrectangles. Fluctuations of the process about the critical boundary ...