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Now showing items 1-10 of 43

#### On the Inverse Multiphase Stefan Problem

(2015-07)

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, ...

#### Random Walks on Random Lattices and Their Applications

(2015-05)

This work studies a class of continuous-time, multidimensional random walk processes
with mutually dependent random step sizes and their exits from hyperrectangles. Fluctuations
of the process about the critical boundary ...

#### On the convergence of an implicit iterative process for generalized asymptotically quasi-nonexpansive mappings

(2010-01-30)

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 ...

#### Positive solutions of singular complementary Lidstone boundary value problems

(2010-12-02)

We investigate the existence of positive solutions of singular problem (-1)mx(2m+1) = f(t, x,⋯, x(2m)), x (0) = 0, x(2i-1) (0) = x(2i-1) (T) = 0, 1 ≤ i ≤ m. Here, m ≥ 1 and the Carathéodory function f (t, x0,⋯, x2m) may ...

#### On the optimal control of the free boundary problems for the second order parabolic equations. I. well-posedness and convergence of the method of lines

(2013-05)

We develop a new variational formulation of the inverse Stefan problem, where information on the heat flux on the fi xed boundary is missing and must be found along with the temperature and free boundary. We employ optimal ...

#### On type of periodicity and Ergodicity to a class of fractional order differential equations

(2010-02-11)

We study several types of periodicity to a class of fractional order differential equations.

#### Some results for integral inclusions of Volterra type in Banach spaces

(2010-12-06)

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(t-s)[Ay(s)+F(s,y(s)) ]ds,a.e.t ∈ J, where J=[ 0,b ], A is the ...

#### On a generalized time-varying SEIR epidemic model with mixed point and distributed time-varying delays and combined regular and impulsive vaccination controls

(2010-12-14)

This paper discusses a generalized time-varying SEIR propagation disease model subject to delays which potentially involves mixed regular and impulsive vaccination rules. The model takes also into account the natural ...

#### Degenerate anisotropic differential operators and applications

(2011-02-23)

The boundary value problems for degenerate anisotropic differential operator equations with variable coefficients are studied. Several conditions for the separability and Fredholmness in Banach-valued Lp spaces are given. ...

#### On the existence of equilibrium points, boundedness, oscillating behavior and positivity of a SVEIRS epidemic model under constant and impulsive vaccination

(2011-03-13)

This paper discusses the disease-free and endemic equilibrium points of a SVEIRS propagation disease model which potentially involves a regular constant vaccination. The positivity of such a model is also discussed as well ...