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…
Componentwise localization of critical points for functionals defined on product spaces
AbstractA new notion of linking is introduced to treat minima as minimax points in a unitary way. Critical points are…
Analysis of the effectiveness of the treatment of solid tumors in two cases of drug administration
AbstractA complete stability analysis of the equilibrium solutions of a system modeling tumor chemotherapy is performed in two cases of…
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…
A unified variational approach to discontinuous differential equations
AbstractA direct variational technique involving Clarke generalized gradient is used to treat general boundary value problems with discontinuous nonlinearities. Based…