On the asymptotic equivalence of a differential system with maxima
Abstract In this paper, we give some general results on the asymptotic relationship between the solutions of a linear differential…
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Hybrid differential equations with maxima via Picard operators theory
AbstractThe aim of this paper is to discuss some basic problems (existence and uniqueness, data dependence) of the Cauchy problem…
An application of the Picard operator technique to functional integral equations
Abstract In this paper we consider a functional integral equation of the form \[ x(t)=g(t,x(t),x(h(t)))+\int_{a}^{t} f(s,x(h(s)))ds+\int_{a}^{b} K(s,x(h(s)))ds, \ \ t…
On the qualitative properties of functional integral equations with abstract Volterra operators
AbstractUsing the weakly Picard operators technique we establish existence, data dependence and comparison results of solutions for a functional integral equation…
Some properties of solutions to a planar system of nonlinear differential equations
AbstractIn this paper we present for the solutions of a planar system of differential equations, extremal principle, Nicolescu-type and Butlewski-type…
An efficient step method for a system of differential equations with delay
AbstractUsing the step method, we study a system of delay differential equations and we prove the existence and uniqueness of…
Dhage iteration method for approximating solutions of nonlinear differential equations with maxima,
AbstractIn this paper we study the initial value problem of first order nonlinear differential equations with maxima and discuss the…
Conjugate heat transfer of a nanofluid in a vertical channel adjacent to a heat generating solid domain
AbstractThe effect of thermal dispersion in the conjugate steady free convection flow of a nanofluid in a vertical channel is…
Mixed convection in a vertical channel subject to Robin boundary condition
AbstractThe steady mixed convection flow in a vertical channel is investigated for laminar and fully developed flow regime. In the…
Steffensen type methods for approximating solutions of differential equations
AbstractThe implicit methods for numerical solving of ODEs lead to nonlinear equations which are usually solved by the Newton method.…