Mathematical Sciences
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Qualitative Analysis of the Nonlinear Double Degenerate Parabolic Equation of Turbulent Filtration with Absorption
(201905)The goal of the dissertation is to pursue qualitative analysis of the mathematical model of turbulent polytropic filtration of a gas in a porous media with reaction or absorption described by the second order nonlinear ... 
NUMERICAL METHODS FOR EIGENVALUE COMPUTATION OF FOURTHORDER SELFADJOINT ORDINARY DIFFERENTIAL OPERATORS
(201901)This dissertation is mainly concerned with three new and very different numerical methods for computing eigenvalues of fourthorder SturmLiouville differential operators on finite intervals with regular boundary conditions. ... 
On the Qualitative Theory of the Nonlinear Parabolic pLaplacian Type ReactionDiffusion Equations
(201811)This dissertation presents full classification of the evolution of the interfaces and asymptotics of the local solution near the interfaces and at infinity for the nonlinear second order parabolic pLaplacian type ... 
Fluctuation Analysis in Stochastic System with Parallel Queues
(201807)In this dissertation, We analyze a complex queueing system with a single server operating in three different modes and, dependent on circumstances, servicing two different queues simultaneously. There are different switching ... 
Some new nonlinear secondorder boundary value problems on an arbitrary domain
(20181201)In this paper, we develop the existence theory for nonlinear secondorder ordinary differential equations equipped with new kinds of nonlocal nonseparated type integral multipoint boundary conditions on an arbitrary ... 
Time Sensitive Functionals of Marked Random Measures in Real Time
(201810)In this dissertation, we study marked random measures that model stochastic networks (under attacks), status of queueing systems during vacation modes, responses to cancer treatments (such as chemotherapy and radiation), ... 
Boundary Value Problems in a Multidimensional Box for Higher Order Linear and QuasiLinear Hyperbolic Equations
(201805)Boundary value problems in a multidimensional box for higher order linear hyperbolic equations are considered. The concept of associated problems are introduced. For general boundary value problems there are established: (i) ... 
Lower Order Perturbations of Critical Fractional Laplacian Equations
(201807)We give suffcient conditions for the existence of nontrivial solutions to a class of critical nonlocal problems of the BrezisNirenberg type. Our result extends some results in the literature for ... 
Lyapunov Functions to Caputo Fractional Neural Networks with TimeVarying Delays
(20180509)One of the main properties of solutions of nonlinear Caputo fractional neural networks is stability and often the direct Lyapunov method is used to study stability properties (usually these Lyapunov functions do not depend ... 
On the Qualitative Theory of the Nonlinear Degenerate Second Order Parabolic Equations Modeling ReactionDiffusionConvection Processes
(201805)We consider nonlinear second order degenerate or singular parabolic equation ut − a(um)xx + buβ + c(up)x = 0, a, m, β, p > 0, b, c ∈ R describing reactiondiffusionconvection processes arising in many areas of science and ... 
An existence principle for nonlocal difference boundary value problems with φlaplacian and its application to singular problems
(2008)The paper presents an existence principle for solving a large class of nonlocal regular discrete boundary value problems with the ψLaplacian. Applications of the existence principle to singular discrete problems are given. 
Superhyperfine interactions in the electronspinresonance spectrum of substitutional gd3+ impurity in caf2 single crystals under applied stress
(19670703)In this communication we report a superhyperfine structure in the esr spectrum of 0.001 at. ~0 Gd' in a single crystal of CaF, under applied stress. The stress was applied at the polished (111)face of the CaF, crystal ... 
Measurement of highpT single electrons from heavyflavor decays in p+p collisions at s=200GeV
(20061221)The momentum distribution of electrons from decays of heavy flavor (charm and bottom) for midrapidity y<0.35 in p+p collisions at s=200GeV has been measured by the PHENIX experiment at the BNL Relativistic Heavy Ion ... 
Scaling properties of azimuthal anisotropy in Au+Au and Cu+Cu collisions at sNN=200GeV
(20070416)Differential measurements of elliptic flow (v2) for Au+Au and Cu+Cu collisions at sNN=200GeV are used to test and validate predictions from perfect fluid hydrodynamics for scaling of v2 with eccentricity, system size, and ... 
System size and energy dependence of jetinduced hadron pair correlation shapes in Cu+Cu and Au+Au collisions at sNN=200 and 62.4 GeV
(20070604)We present azimuthal angle correlations of intermediate transverse momentum (14GeV/c) hadrons from dijets in Cu+Cu and Au+Au collisions at sNN=62.4 and 200 GeV. The awayside dijet induced azimuthal correlation is broadened, ... 
The Capacitated Transfer Point Covering Problem (TPCP): Expanding Delivery Network Coverage with Minimal Resources
(201805)Retail delivery services have begun using unmanned systems in attempts to reduce the time from a customer’s order to when the product arrives at its intended destination. Utilizing these systems are beneficial to both ... 
Parametric and NonParametric Regression Models with Applications to Climate Change
(201712)In this dissertation we have studied the climate factors that contribute to climate change using univariate and multivariate parametric methods as well as nonparametric models. In this study, we have three major ... 
On Logconcavity of Multivariate Discrete Distributions
(201712)The contribution of this dissertation to the literature is twofold. First, we use a geometric perspective to present all possible subdivisions of R³ into tetrahedra with disjoint interiors and adopt a combinatorial ... 
ON FINITE ELEMENT METHODS FOR THE EULERPOISSONDARBOUX EQUATION.
(198412)We deal primarily with the derivation of various convergence estimates for some semidiscrete and fully discrete procedures which might be used in the approximation of exact solutions of initialboundary value problems with ... 
A multigrid method for variable coefficient Maxwell's equations
(2006)This paper presents a multigrid method for solving variable coefficient Maxwell's equations. The novelty in this method is the use of interpolation operators that do not produce multilevel commutativity complexes that lead ...