## On the nonlocal initial value problem for first order differential systems

AbstractThe aim of the is to study the existence of solutions of initial value problems for nonlinear first order differential…

AbstractThe aim of the is to study the existence of solutions of initial value problems for nonlinear first order differential…

Abstract We study the existence of positive solutions of the functional-differential system \(u_{1}^{\prime \prime}\left( t\right) +a_{1}\left( t\right) f_{1}\left(u_{1}(g(t\right) ),u_{2}\left( g\left(…

AbstractThis paper deals with weak solvability of the Cauchy-Dirichlet problem for the perturbed time-dependent Schrödinger equation. We use the operator…

AbstractWe obtain existence and localization results of positive nontrivial solutions for a class of semilinear elliptic variational systems. The proof…

AbstractWe obtain existence and localization results of positive nontrivial solutions for a class of semilinear elliptic variational systems. The proof…

AbstractThe implicit methods for numerical solving of ODEs lead to nonlinear equations which are usually solved by the Newton method.…

AbstractIn a first approximation, the Earth’s interior has an isotropic structure with a spherical symmetry. Over the last decades the…

AbstractTransport processes in groundwater systems with spatially heterogeneous properties often exhibit anomalous behavior. Using first-order approximations in velocity fluctuations we…

AbstractThe Global Random Walk algorithm (GRW) performs a simultaneous tracking on a fixed grid of huge numbers of particles at…

AbstractThis work deals with a comparison of different numerical schemes for the simulation of contaminant transport in heterogeneous porous media.…