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Properties of the solutions of a system of differential equations with maxima, via weakly picard operator theory

6 years ago

AbstractIn this paper we present some properties of the solutions of a system of differential equation with maxima. Existence, uniqueness, inequalities…

Iterates of Bernstein type operators on a square with one curved side via contraction principle

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AbstractGiven a function defined on a square with one curved side, we consider some Bernstein-type operators as well as their…

An iterative method for a functional-differential equation of second order with mixed type argument

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Abstract In this paper we shall study a functional differential equation of second order with mixed type argument. For this…

Ulam stability for a delay differential equation

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AbstractWe study the Ulam–Hyers stability and generalized Ulam–Hyers–Rassias stability for a delay differential equation. Some examples are given. AuthorsD. Otrocol (Tiberiu…

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

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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

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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

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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

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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

6 years ago

AbstractLet Omega subset of R-p, p is an element of N* be a nonempty subset and B(Omega) be the Banach…

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