3 papers
math.DS2026
On existence, uniqueness and numerical approximation of impulsive differential equations with adaptive state-dependent delays using equations with piecewise-constant arguments
Ferenc Hartung
In this paper we consider a class of impulsive nonlinear differential equations with adaptive state-dependent delays. We discuss the existence and uniqueness of solutions of the in…
math.GM2023
Hermite-Hadamard type inequalities by using Newton-Cotes quadrature formulas
Angshuman R. Goswami, Ferenc Hartung
A convex function satisfies the so-called Hermite-Hadamard inequality $$ f\left(\frac{a+b}{2}\right)\leq \frac{1}{b-a}\int_a^{b}f(t)dt\leq \frac{f(a)+f(b)}{2…
math.DS2011
On second-order differentiability with respect to parameters for differential equations with state-dependent delays
Ferenc Hartung
In this paper we consider a class of differential equations with state-dependent delays. We show first and second-order differentiability of the solution with respect to parameters…