Qualitative properties of a functional differential equation
AbstractThe aim of this paper is to discuss some basic problems (existence and uniqueness, data dependence) of the fixed point…
2014
Some properties of solutions of a functional-differential equation of second order with delay
AbstractExistence, uniqueness, data dependence (monotony, continuity, and differentiability with respect to parameter), and Ulam-Hyers stability results for the solutions of…
History-dependent contact models for viscoplastic materials
AbstractWe consider two mathematical models which describe the frictionless process of contact between a rate-type viscoplastic body and a foundation.…
A viscoplastic contact problem with normal compliance, unilateral constraint and memory term
AbstractWe consider a mathematical model which describes the quasistatic contact between a viscoplastic body and a foundation. The material’s behavior…
Mixed convection boundary layer flow from a vertical truncated cone in a nanofluid
AbstractThe purpose of this paper is to investigate the steady mixed convection boundary layer flow from a vertical frustum of…
Penalization of history-dependent variational inequalities
AbstractThe present paper represents a continuation of Sofonea and Matei’s paper (Sofonea, M. and Matei, A. (2011) History-dependent quasivariational inequalities…
A viscoelastic contact problem with adhesion and surface memory effects
AbstractWe consider a mathematical model which describes the quasistatic contact between a viscoelastic body and an obstacle, the so-called foundation.…
Geophysical implications of a decentered inner core
AbstractIn a first approximation, the Earth’s interior has an isotropic structure with a spherical symmetry. Over the last decades the…
On the accuracy of pseudospectral differentiation
AbstractFor various grids on a finite interval we measure the accurarcy of pseudospectral (collocation) differentiation matrices using two parameters. The…
Accurate spectral solutions to a phase-field transition system
AbstractThe paper is mainly concerned with numerical approximation of solutions to the phase-field transition system (Caginalp’s model), subject to the…