Functional differential equations with maxima, via step by step contraction principle
AbstractT. A. Burton presented in some examples of integral equations a notion of progressive contractions on C([a, ∞[). In 2019,…
Posts by Diana Otrocol
Ulam stability of a linear difference equation in locally convex spaces
Abstract We obtain a characterization of Ulam stability for the linear difference equation with constant coefficients \(x_{n+p}=a_₁x_{n+p-1}+…+a_{p}x_{n}\) in locally convex…
Inequalities for Information Potentials and Entropies
AbstractWe consider a probability distribution \((p_0(x), p_1(x), . . .)\) depending on a real parameter \(x\). The associated information potential…
Existence and uniqueness of the solution for an integral equation with supremum
AbstractFollowing the idea of T. Wongyat and W. Sintunavarat, we obtain some existence and uniqueness results for the solution of…
On the Burton method of progressive contractions for Volterra integral equations
AbstractIn the paper [4] the author give a new method to study the existence and uniqueness of a solution on…
Qualitative properties of solutions for mixed type functional-differential equations with maxima
AbstractIn this paper we study some properties of the solutions of a second order system of functional-differential equations with maxima,…
Inequalities for indices of coincidence and entropies
AbstractWe consider a probability distribution depending on a real parameter x. As functions of x, the Renyi entropy and the…
Iterates of Cheney-Sharma type operators on a triangle with curved side
AbstractWe consider some Cheney-Sharma type operators as well as their product and Boolean sum for a function defined on a…
Lotka-Volterra systems with retarded argument
Book summarySummary of the book… Book cover Contents clickableIntroduction Ch.1. Preliminaries 1.1. Process of mathematical modeling 1.1.1. Lotka-Volterra model 1.1.2.…
Solutions with a prescribed interval of positivity for differential systems with nonlocal conditions
AbstractBased on fixed point index, the paper develops a theory of existence, localization and multiplicity of solutions to first-order differential…