Critical point theorems in cones and multiple positive solutions of elliptic problems
AbstractWe obtain critical point variants of the compression fixed point theorem in cones of Krasnoselskii. Critical points are localized in…
2012
Mathematical understanding of the autologous stem cell transplantation
AbstractA simple mathematical model is provided for understanding the cell dynamics after autologous stem cell transplantation, concluding about the effectiveness…
A planning algorithm for correction therapies after allogeneic stem cell transplantation
AbstractIn this paper we continue the investigation of a basic mathematical model describing the dynamics of three cell lines after…
Mathematical modeling of cell dynamics after allogeneic bone marrow transplantation
AbstractIn this paper a basic mathematical model is introduced to describe the dynamics of three cell lines after allogeneic stem…
Automatic Trend Estimation
Book summaryOriginal automatic algorithms for processing nonstationary time series containing a stationary noise superposed over a nonmonotonic trend are presented.…
A history-dependent contact problem with unilateral constraint
AbstractWe consider a mathematical model which describes the quasistatic contact between a viscoplastic body and a foundation. The contact is…
A class of numerical methods for autonomous initial value problems
AbstractIn this paper we introduce a class of explicit numerical methods for approximating the solutions of scalar initial value problems…
A numerical method for the solution of an autonomous initial value problem
AbstractUsing a known interpolation formula we introduce a class of numerical methods for approximating the solutions of scalar initial value…
An elastic contact problem with normal compliance and memory term
AbstractWe consider a history-dependent problem which describes the contact between an elastic body and an obstacle, the so-called foundation. The…
Global random walk algorithm for diffusion processes
AbstractThe Global Random Walk algorithm (GRW) performs the simultaneous tracking on a fixed grid of large collections of particles, while…