Iterates of multivariate Cheney-Sharma operators
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AbstractUsing the weakly Picard operators technique, we study the convergence of the iterates of some hivariate and trivariate Cheney-Sharma operators.…
Systems of functional differential equations with maxima, of mixed type
AbstractIn this paper we study some properties of the solutions of a second order system of functional differential equations with maxima,…
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…
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…
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,…
The iterates of positive linear operators with the set of constant functions as the fixed point set
AbstractLet Omega subset of R-p, p is an element of N* be a nonempty subset and B(Omega) be the Banach…
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…
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…