Browsing Publications by Title
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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 → ∞, ... 
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. 
Bulk input queues with quorum and multiple vacations
(1995)The authors study a singleserver queueing system with bulk arrivals and batch service in accordance to the general quorum discipline: a batch taken for service is not less than r and not greater than R(≥r). The server ... 
Degenerate anisotropic differential operators and applications
(20110223)The boundary value problems for degenerate anisotropic differential operator equations with variable coefficients are studied. Several conditions for the separability and Fredholmness in Banachvalued Lp spaces are given. ... 
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 ... 
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. 
First excess levels of vector processes
(1994)This paper analyzes the behavior of a point process marked by a twodimensional renewal process with dependent components about some fixed (twodimensional) level. The compound process evolves until one of its marks hits ... 
A first passage problem and its applications to the analysis of a class of stochastic models
(1991)A problem of the first passage of a cumulative random process with generally distributed discrete or continuous increments over a fixed level is considered in the article as an essential part of the analysis of a class of ... 
First passage processes in Queuing system MX/Gr/1 with service delay discipline
(19920201)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 ... 
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 ... 
Fixed point theory for Mönchtype maps defined on closed subsets of Fréchet spaces: the projective limit approach
(2005)New LeraySchauder alternatives are presented for Mönchtype maps defined between Fréchet spaces. The proof relies on viewing a Fréchet space as the projective limit of a sequence of Banach spaces. 
A FuriPera theorem in Hausdorff topological spaces for acyclic maps
(2004)We present new FuriPera theorems for acyclic maps between topological spaces. 
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). 
Impulsive semilinear neutral functional differential inclusions with multivalued jumps
(20110407)In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach ... 
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) ... 
Lajos Takács and his work
(19941001)This paper, written in honor of the 70th birthday of Lajos Takács, addresses his life and work, and includes some personal observations and appreciation of his contributions. In particular, it includes a short biography, ... 
Maintenance in SingleServer Queues: A GameTheoretic Approach
(2009)We use antagonistic stochastic games and fluctuation analysis to examine a singleserver queue with bulk input and secondary work during server's multiple vacations. When the buffer contents become exhausted the server ... 
Multidimensional KolmogorovPetrovsky test for the boundary regularity and irregularity of solutions to the heat equation
(2005)This paper establishes necessary and sufficient condition for the regularity of a characteristic top boundary point of an arbitrary open subset of ( ) for the diffusion (or heat) equation. The result implies asymptotic ... 
Multiple positive solutions of singular discrete pLaplacian problems via variational methods
(2005)We obtain multiple positive solutions of singular discrete pLaplacian problems using variational methods.