# 2015

## A topological approach to the existence and multiplicity of positive solutions of (p,q)-Laplacian systems

AbstractIn this paper we develop a new theory for the existence, localization and multiplicity of positive solutions for a class…

## Existence results for systems with nonlinear coupled nonlocal initial conditions

AbstractThe purpose of the present paper is to study the existence of solutions to initial value problems for nonlinear first…

## A unified existence theory for evolution equations and systems under nonlocal conditions

AbstractWe investigate the effect of nonlocal conditions expressed by linear continuous mappings over the hypotheses which guarantee the existence of…

## Variational properties of the solutions for second-order differential equations and systems on semi-line

AbstractIn this article, an abstract theory regarding variational properties of the fixed points of contractions and Perov contractions is applied…

## Addendum to the paper “an iterative method for a functional-differential equation of second order with mixed type argument“

AbstractAuthors Diana Otrocol, Tiberiu Popoviciu Institute of Numerical Analysis of Romanian Academy, Cluj-Napoca, Romania Veronica Ilea, Department of Applied Mathematics,…

## Some properties of solutions of the homogeneous nonlinear second order differential equations

Abstract In this paper we consider the following nonlinear homogeneous second order differential equations, $$F(x,y,y^{\prime},y^{\prime\prime})=0.$$ We present for the solutions,…

## Convergence results for contact problems with memory term

AbstractIn this paper, we consider two quasistatic contact problems. The material’s behavior is modelled with an elastic constitutive law for…

## Conjugate free convection in a vertical channel filled with nanofluid

AbstractThe steady natural conjugate convection in a long vertical channel filled with a nanofluid and including internal heat generation is…

## Detection of low level periodic signals through enhanced self-correlation method. The case of ER Vulpeculae

AbstractThe self-correlation (SC) method proposed three decades ago by Percy, Jakate and Matthews is a complementary time series analysis method…

## Laguerre collocation solutions vs. analytic results for singular semilinear BVPs on the half line

AbstractWe make use of two Laguerre collocation techniques as a way to illustrate, deepen or extend some analytic results of…