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,…
How many steps still left to x*?2 years agoWe survey the convergence orders of sequences and show the orders of the basic iterative sequences for solving nonlinear equations…
Kantorovich type operators associated with Jain-Markov operators2 years agoAbstractThis note focuses on a sequence of linear positive operators of integral type in the sense of Kantorovich. The construction…
Asymptotic analysis of a structure-preserving integrator for damped Hamiltonian systems2 years agoAbstractThe present work deals with the numerical long-time integration of damped Hamiltonian systems. The method that we analyze combines a…
Approximation of some classes of functions by Landau type operators3 years agoAbstract This paper aims to highlight a class of integral linear and positive operators of Landau type which have affine…
On Landau-type approximation operators3 years agoAbstractIn this paper, we define and study a general class of convolution operators based on Landau operators. A property of…
Approximation properties of a family of integral type operators3 years agoAbstractIn this paper we consider a general class of linear positive processes of integral type. These operators act on functions…
Ulam stability of a linear difference equation in locally convex spaces3 years agoAbstract 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…
Accurate spectral collocation computations of high order eigenvalues for singular Schrödinger equations-revisited3 years agoAbstractIn this paper, we continue to solve as accurately as possible singular eigenvalues problems attached to the Schrödinger equation. We…
Accurate spectral collocation solutions to 2nd-order Sturm–Liouville problems3 years agoAbstractThis work is about the use of some classical spectral collocation methods as well as with the new software system…