Iterates of multidimensional approximation operators via Perov theorem
AbstractThe starting point is an approximation process consisting of linear and positive operators. The purpose of this note is to…
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On some applications of the controllability principle for fixed point equations
Abstract The aim of this paper is to draw attention to a general principle for solving control problems for operator…
Chebfun Solutions to a Class of 1D Singular and Nonlinear Boundary Value Problems
AbstractThe Chebyshev collocation method implemented in Chebfun is used in order to solve a class of second order one-dimensional singular…
Stationary Kirchhoff equations and systems with reaction terms
AbstractIn 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 type
Abstract We introduce a new method for solving nonlinear equations in R, which uses three function evaluations at each step…
Stationary solutions of Fokker-Planck equations with nonlinear reaction terms in bounded domains
AbstractUsing an operator approach, we discuss stationary solutions to Fokker-Planck equations and systems with nonlinear reaction terms. The existence of…
Krasnoselskii type theorems in product Banach spaces and applications to systems of nonlinear transport equations and mixed fractional differential equations
AbstractIn this paper, we use a new technique for the treatment of systems based on the advantage of vector-valued norms…
Hahn decompositions of finitely additive measures
Abstract AuthorsȘtefan Cobzaș ”Tiberiu Popoviciu” Institute of Numerical Analysis, Cluj-Napoca, Romanian KeywordsPaper coordinatesȘt. Cobzaș, Hahn decompositions of finitely additive measures,…
A nonlinear periodic averanging principle
Abstract This paper is devoted to a nonlinear averaging principle for periodic solutions of a class of second order inclusions.…
Quasiconvex functions of higher order and the behavior of some nonlinear functionals
Abstract A result of T. Popoviciu, which characterizes real linear functionals on \(C(I)\) that are positive on n-convex functions as…