Mathematical Sciences
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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 ... 
On sumudu transform and system of differential equations
(201003)The regular system of differential equations with convolution terms solved by Sumudu transform. 
Asymptotically linear solutions for some linear fractional differential equations
(201011)We establish here that under some simple restrictions on the functional coefficient at the fractional differential equation 0Dα t tx − x x0 at x 0,t> 0, has a solution expressible as ct d o1 for t → ∞, ... 
Probabilistic ModelBased Cell Tracking
(2006)The study of cell behavior is of crucial importance in drug and disease research. The fields of bioinformatics and biotechnology rely on the collection, processing, and analysis of huge numbers of biocellular images, ... 
Error estimates for the semidiscrete finite element approximation of linear nonlocal parabolic equations
(1991)Existence and uniqueness are proved for nonlocal (in time) for solutions of linear parabolic partial differential equations. Instead of an initial condition, there is a relation connecting the initial value to values of ... 
Existence and Nonexistence Results for a Class of Quasilinear Elliptic Systems
(20071217)Using variational methods, we prove the existence and nonexistence of positive solutions for a class of Laplacian systems with a parameter. 
A sturm separation theorem for a linear 2nth order selfadjoint differential equatio
(1995)For the 2nth order equation, (−1)nv(2n)+qv=0, with q continuous, we obtain a Sturm Separation theorem, involving n+1 solutions of the equation, which is somewhat analogous to the classical result that the zeros of two ... 
SetTheoretic Inequalities in Stochastic Noncooperative Games with Coalition
(2008)We model and analyze antagonistic stochastic games of three players, two of whom form a coalition against the third one. The actions of the players are modeled by random walk processes recording the cumulative damages to ... 
A queueing system with a fixed accumulation level, random server capacity and capacity dependent service time
(1992)This paper introduces a bulk queueing system with a single server processing groups of customers of a variable size. If upon completion of service the queueing level is at least r the server takes a batch of size r and ...