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Some properties of solutions of a functional-differential equation of second order with delay

7 years ago

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

7 years ago

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

7 years ago

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

7 years ago

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

7 years ago

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

7 years ago

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

7 years ago

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

7 years ago

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

7 years ago

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,

7 years ago

AbstractIn this paper we study the initial value problem of first order nonlinear differential equations with maxima and discuss the…

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