Fixed point results for non-self operators R₊^{m}-metric spaces1 month agoAbstract The purpose of this paper is to discuss some problems of the fixed point theory for non-self operators on…
A fixed-point approach to control problems for Kolmogorov type second-order equations and systems2 months agoAbstract In this paper, the second-order differential equations and systems of Kolmogorov type are defined. With reference to population dynamics…
Integral equation with maxima via fibre contraction principle4 months agoAbstract The aim of this paper is to emphasize the role of the fibre contraction principle in the study of…
Stratified equatorial flows in cylindrical coordinates with surface tension4 months agoAbstract This paper considers a mathematical model of steady flows of an inviscid and incompressible fluid moving in the azimuthal…
Spherical Shepard-Bernoulli operator4 months agoAbstractWe consider the problem of interpolating large sets of scattered data on the sphere using Shepard-Bernoulli operators constructed based on…
Univariate Shepard operators combined with least squares fitting polynomials6 months agoAbstract We obtain new univariate Shepard operators using polynomials that are constructed such that they fit the interpolation data in…
A solvable version of the inverse problem of dynamics6 months agoAbstract The particular version of the inverse problem of dynamics considered here is: given the ‘slope function’ \gamma =f_{y}/f_{x}, representing…
Comment on “Modeling groundwater flow with random hydraulic conductivity using radial basis function partition of unity method” by Shile et al. (2024)7 months agoAbstract The goal of this article is to explain some striking discrepancies between the Monte Carlo inferences for flow in…
Localization of energies in Navier–Stokes models with reaction terms9 months agoAbstract We analyze a general class of coupled systems of stationary Navier-Stokes type equations with variable coefficients and non-homogeneous terms…
Vector fixed point approach to control of Kolmogorov differential systems10 months agoAbstract The paper presents a vector approach to control problems for systems of equations. The method is described in the…