The combined Shepard operator of inverse quadratic and inverse multiquadric type
AbstractStarting with the classical, the modified and the iterative Shepard methods, we construct some new Shepard type operators, using the…
not-at-ICTP
Positive solutions for discontinuous problems with applications to ϕ-Laplacian equations
Abstract We establish existence and localization of positive solutions for general discontinuous problems for which a Harnack-type inequality holds. In…
A Granas type approach to some continuation theorems and periodic boundary value problems with impulse
Abstract In this paper we study periodic solutions of a second order differential equation \[ x^{\prime\prime} = f(t, x, x^{\prime})…
Periodic solutions for an integral equation from biomathematics via Leray-Schauder principle
Abstract The paper deals with periodic solutions for an integral equation from biomathematics, via the Leray-Schauder principle. The results obtained…
Nonlinear systems with a partial Nash type equilibrium
AbstractFixed point arguments and a critical point technique are combined leading to hybrid existence results for a system of three…
Shepard operator of least squares thin-plate spline type
AbstractWe obtain some new Shepard type operators based on the classical, the modified Shepard methods and the least squares thin…
Monotone iterations for decreasing maps in ordered Banach spaces
AbstractIn this paper we propose a version of the monotone iterations method for decreasing maps in ordered Banach spaces. In…
Analysis of a nonlinear integral equation modelling infection diseases
Abstract To describe the spread of virus diseases with contact rate that varies seasonally, the following delay integral equation has…
Inequalities and compactness
AbstractWe use the inequalities of Holder, Gronwall and Wirtinger type to establish sufficient conditions for that the null function is…
Positive solutions of semi-linear elliptic problems via Krasnoselskii type theorems in cones and Harnack’s inequality
AbstractIn this paper a new version of Krasnoselskii’s fixed point theorem in cones, together with a global weak Harnack inequality…