Iterates of multidimensional approximation operators via Perov theorem10 months agoAbstractThe starting point is an approximation process consisting of linear and positive operators. The purpose of this note is to…
On some applications of the controllability principle for fixed point equations10 months agoAbstract The aim of this paper is to draw attention to a general principle for solving control problems for operator…
Stationary Kirchhoff equations and systems with reaction terms12 months agoAbstractIn this paper, the operator approach based on the fixed point principles of Banach and Schaefer is used to establish…
A new optimal method of order four of Hermite–Steffensen type1 year agoAbstract We introduce a new method for solving nonlinear equations in R, which uses three function evaluations at each step…
Krasnoselskii type theorems in product Banach spaces and applications to systems of nonlinear transport equations and mixed fractional differential equations1 year agoAbstractIn this paper, we use a new technique for the treatment of systems based on the advantage of vector-valued norms…
Energy-based localization and multiplicity of radially symmetric states for the stationary p-Laplace diffusion1 year agoAbstractIt is investigated the role of the state–dependent source–term for the localization by means of the kinetic energy of radially…
On the Durrmeyer-type variant and generalizations of Lototsky–Bernstein operators2 years agoAbstract The starting points of the paper are the classic Lototsky–Bernstein operators. We present an integral Durrmeyer-type extension and investigate…
On the Controllability of a System Modeling Cell Dynamics Related to Leukemia2 years agoAbstractIn this paper, two control problems for a symmetric model of cell dynamics related to leukemia are considered. The first…
On a Volterra Integral Equation with Delay, via w-Distances2 years agoAbstractThe paper deals with a Volterra integral equation with delay. In order to apply the w-weak generalized contraction theorem for…
Functional differential equations with maxima, via step by step contraction principle2 years agoAbstractT. A. Burton presented in some examples of integral equations a notion of progressive contractions on C([a, ∞[). In 2019,…