The convergence of mean value iteration for a family of maps
Abstract We consider a mean value iteration for a family of functions, which corresponds to the Mann iteration with \(\lim_{n\rightarrow…
2005
Persistence of planetary rings under the influence of the anisotropically re-emitted solar radiation
Abstract The solar radiation has a destabilizing influence on planetary rings. The shepherding satellites explain the persistence of these structures,…
Symmetric periodic orbits in the anisotropic Schwarzschild-type problem
Abstract Studying the two-body problem associated to an anisotropic Schwarzschild-type field, Mioc et al. (2003) did not succeed in proving…
A solvable version of the inverse problem of dynamics
Abstract The particular version of the inverse problem of dynamics considered here is: given the ‘slope function’ \(\gamma =f_{y}/f_{x}\), representing…
On the extension of semi-Lipschitz functions on asymmetric normed spaces
Abstract Extension theorems for semi-Lipschitz functions and some proper- ties of these extensions useful in approximation problems are presented. As…
Rate of convergence of a class of Bézier type operators for functions of bounded variation
Abstract By using probability methods we introduce a general a class of Bezier type linear operators. The aim of the…
On the rate of convergence of some integral operators for functions of bounded variation
Abstract In the present paper we define a general class \(B_{n,\alpha},\alpha\) \(\geq1\), of Durrmeyer-Bezier type of linear positive operators. Our…
Quantitative approximations by using scaling type functions
Abstract The focus of the paper is to study a class of linear positive operators constructed by using a quasi-scaling…
Construction of upper and lower solutions with applications to singular boundary value problems
Abstract An upper and lower solution theory is presented for the Dirichlet boundary value problem \(y^{\prime\prime}+f(t,y,y^{\prime})=0\), \(0<t <1\) with \(y(0)=y(1)=0\).…
Existence and localization results for semi-linear problems
AbstractThis survey paper presents the new method worked out in [14] and [15] for the existence and localization of solutions…