Additional Information
| Author(s) | Rus Ioan A. |
|---|
Ulam stabilities of ordinary differential equations in a Banach space
Ioan A. Rus
Abstract
carpathian_2010_26_1_103_107_abstractLet (B, | · |) be a Banach space, A : B → B be the infinitesimal generator of a C0-semigroup, I := [a, b] or [a, +∞[ and f ∈ C(I × B, B). In this paper we present and discuss four types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for the following differential equation u 0 (t) = A(u(t)) + f(t, u(t)), t ∈ I.
Recently posted
-
An inertial method for solving the split equality fixed point problem with multiple output sets
-
Asymptotic modeling of non-linear viscopiezoelectric Kelvin-Voigt type plates via Trotter theory
-
Properties of isocompact spaces in topological groups
-
Two generalized cyclic projection algorithms for solving a class of the split feasibility problem in real Hilbert spaces
-
Global-fixed-point property of gyrogroup actions
-
On simple normal structure and best proximity points in reflexive Banach space
-
Unified Convergence Analysis of Certain At Least Fifth Order Methods
-
A set packing model for the Partition Coloring Problem
-
Cut-through connections of graphs
-
Positive solutions for multipoint boundary value problem of fractional differential equation with parameter