Mathematical Sciences
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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 ... 
Singular positone and semipositone boundary value problems of second order delay differential equations
(200506)In this paper we present some new existence results for singular positone and semipositone boundary value problems of second order delay differential equations. Throughout our nonlinearity may be singular in its dependent ... 
Differential inclusions on proximate retracts of separable Hilbert spaces
(2006)New existence results are presented which guarantee the existence of viable solutions to differential inclusions in separable Hilbert spaces. Our results rely on the existence of maximal solutions for an appropriate ... 
On a class of twopoint boundary value problems with singular boundary conditions
(2006)A new existence theory for a class of second order twopoint boundary value problems with nonlinear boundary conditions which can blow up in finite intervals is established. The proofs are based on the dual variational ... 
Philostype oscillation criteria for second order halflinear dynamic equations on time scales
(2007)In this paper we establish some oscillation theorems for the second order halflinear dynamic equation (r(t)(x Δ(t) γ) Δ + p(t)x γ(t) = 0, ∈ [a,b], on time scales. Special cases of our results include some wellknown ... 
Generalized firstorder nonlinear evolution equations and generalized yosida approximations based on Hmaximal monotonicity frameworks
(2009)First a general framework for the Yosida approximation is introduced based on the relative Hmaximal monotonicity model, and then it is applied to the solvability of a general class of firstorder nonlinear evolution ... 
Mixed monotonegeneralized contractions in partially ordered probabilistic metric spaces
(20111223)In this article, a new concept of mixed monotonegeneralized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed point theorems are proved. The ... 
Solutions of a system of integral equations in Orlicz spaces
(20091231)We consider the following system of integral equations Ui(t) = ∫1gi(t,s)fi(s,u1(s),u2(s),...,un(s))ds, a.e. t [0,1], 1 ≤ i ≤ n. Our aim is to establish criteria such that the above system has a solution (u±,U2,... ,un) ... 
Constantsign solutions of a system of Volterra integral equations in Orlicz spaces
(20080922)We consider the following system of Volterra intergral equations uu1(t) = gi(t, s)fi(s, u1(s), u2(s), · · ·, un(s))ds, a.e. t ∈ [0,T], 1 ≤ i ≤ n. Criteria are offered for the existence of one and more constantsign solutions ... 
A Center of a Polytope: an Expository Review and a Parallel Implementation
(19920301)The solution space of the rectangular linear system Ax = b, subject to x ≥ 0, is called a polytope. An attempt is made to provide a deeper geometric insight, with numerical examples, into the condensed paper by Lord, et ... 
Mössbauer measurements with Au197 in AuAl2, AuGa2, AuIn2, and AuSb2
(19750301)Mossbauer spectra for '"Au in Au metal and the intermetallic compounds AuAl„AuGa„AuIn„and AuSb2 have been obtained for the temperature range 4.2 to 95'K. The isomer shifts for these absorbers with respect to a ' Au in ... 
Deep defects in narrowgap semiconductors
(19941115)We use a Green’sfunction technique to calculate the position of deep defects in narrowgap semiconductors. In order to predict chemical trends, we examine the effects of several different chemical elements. Substitutional ... 
Constantsign solutions of a system of integral equations with integrable singularities
(20070622)We consider the following systems of Fredholm integral equations and the system of Volterra integral equations where the nonlinearities fi, 1 ≤ i ≤ n may be singular in the independent variable and may also be singular at ... 
First Passage Processes in Queuing System MX/GR/1 With Service Delay Discipline
(19941103)This article deals with a general singleserver bulk queueing system with a server waiting until the queue will reach level r before it starts processing customers. If at least r customers are available the server takes a ... 
A survey on semilinear differential equations and inclusions involving RiemannLiouville fractional derivative
(20090205)We establish sufficient conditions for the existence of mild solutions for some densely defined semilinear functional differential equations and inclusions involving the RiemannLiouville fractional derivative. Our approach ... 
Solvability of a quadratic hammerstein integral equation in the class of functions having limits at infinity
(20110620)The goal of the paper is to prove that a quadratic Hammerstein integral equation has solutions in the class of real functions denned, bounded, continuous on the real halfaxis and having limits at infinity. The main tools ...