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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 ... 
Observation of longrange, nearside angular correlations in protonproton collisions at the LHC
(20100927)Results on twoparticle angular correlations for charged particles emitted in protonproton collisions at centerofmass energies of 0.9, 2.36, and 7 TeV are presented, using data collected with the CMS detector over a ... 
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, ... 
Existence of Solution to an Optimal Control Problem for the Heat Equation
Consider the nonhomogeneous heat equation with Neumann and Robin boundary conditions: (See Poster for the equations (1)(4)). The problem (1)(4) is well posed for sufficiently well behaved data, but what if some of the ... 
Computing the Elementary Symmetric Polynomials of the Multiplier Spectra of z^2 + c
This project investigates a family of polynomials that occur in the field of arithmetic dynamics. These polynomials correspond to quadratic rational maps and are difficult to compute in general. We focused on the subfamily ... 
Applications of Random Matrices to Image Processing for Image Denoising
Random matrices were first introduced in studies related to mathematical statistics by Wishart, Hsu. Later, Dyson recognized that would be required a new type of statistical mechanics to describe the nuclear energy levels ... 
Computer Simulations of FluidStructure Interactions
(i) FlowStructure interactions are everywhere (ii) The problem is difficult to simulate because of the dynamical boundary conditions and coupling (iii) The boundary conditions are complex because of its curved shape, ... 
InitialBoundary Value Problems for Higher Order Linear PDEs with Three Independent Variables
Initialboundary value problems for higher order linear hyperbolic equations with two independent variables were studied in [1] and [2], where necessary and sufficient conditions of solvability and unique solvability of ... 
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 ... 
The Kolmogorov equation with timemeasurable coefficients
(20030713)Using both probabilistic and classical analytic techniques, we investigate the parabolic Kolmogorov equation $$ L_t v +\frac {\partial v}{\partial t}\equiv \frac 12 a^{ij}(t)v_{x^ix^j} +b^i(t) v_{x^i} c(t) v+ f(t) ... 
DiniCampanato spaces and applications to nonlinear elliptic equations
(19990925)We generalize a result due to Campanato [C] and use this to obtain regularity results for classical solutions of fully nonlinear elliptic equations. We demonstrate this technique in two settings. First, in the simplest ... 
Oscillation criteria for a class of partial functionaldifferential equations of higher order
(2002)Higher order partial differential equations with functional arguments including hyperbolic equations and beam equations are studied. Sufficient conditions are derived for every solution of certain boundary value problems ... 
On the convergence of an implicit iterative process for generalized asymptotically quasinonexpansive mappings
(20100130)The purpose of this paper is to introduce and consider a general implicit iterative process which includes Schu's explicit iterative processes and Sun's implicit iterative processes as special cases for a finite family of ... 
Global Caccioppolitype and Poincaré inequalities with Orlicz norms
(20100314)We obtain global weighted Caccioppolitype and Poincaré inequalities in terms of Orlicz norms for solutions to the nonhomogeneous A harmonic equation d A(x,d)=B(x,d). 
Browderkrasnoselskiitype fixed point theorems in Banach spaces
(20100402)We present some fixed point theorems for the sum A+B of a weaklystrongly continuous map and a nonexpansive map on a Banach space X. Our results cover several earlier works by Edmunds, Reinermann, Singh, and others. 
Fixed point theorems for wscompact mappings in Banach spaces
(20101124)We present new fixed point theorems for wscompact operators. Our fixed point results are obtained under Sadovskii, LeraySchauder, Rothe, Altman, Petryshyn, and FuriPera type conditions. An example is given to show the ... 
Positive solutions of singular complementary Lidstone boundary value problems
(20101202)We investigate the existence of positive solutions of singular problem (1)mx(2m+1) = f(t, x,⋯, x(2m)), x (0) = 0, x(2i1) (0) = x(2i1) (T) = 0, 1 ≤ i ≤ m. Here, m ≥ 1 and the Carathéodory function f (t, x0,⋯, x2m) may ... 
On type of periodicity and Ergodicity to a class of fractional order differential equations
(20100211)We study several types of periodicity to a class of fractional order differential equations. 
On a generalized timevarying SEIR epidemic model with mixed point and distributed timevarying delays and combined regular and impulsive vaccination controls
(20101214)This paper discusses a generalized timevarying SEIR propagation disease model subject to delays which potentially involves mixed regular and impulsive vaccination rules. The model takes also into account the natural ... 
Some results for integral inclusions of Volterra type in Banach spaces
(20101206)We first present several existence results and compactness of solutions set for the following Volterra type integral inclusions of the form: y(t) ∈ ∫0 t a(ts)[Ay(s)+F(s,y(s)) ]ds,a.e.t ∈ J, where J=[ 0,b ], A is the ...