Results 101 to 110 of about 11,835 (134)

Boundedness of solutions of retarded functional differential equations with variable impulses via generalized ordinary differential equations

Mathematische Nachrichten, 2011
AbstractIn this paper, we give sufficient conditions for the uniform boundedness and uniform ultimate boundedness of solutions of a class of retarded functional differential equations with impulse effects acting on variable times. We employ the theory of generalized ordinary differential equations to obtain our results.
Afonso, S. M., Bonotto, E. M., Federson, M., Gimenes, L. P.   +3 more
openaire   +2 more sources

Lipschitz stability of nonlinear ordinary differential equations with non-instantaneous impulses in ordered Banach spaces

International Journal of Nonlinear Sciences and Numerical Simulation, 2020
Abstract We consider Lipschitz stability of zero solutions to the initial value problem of nonlinear ordinary differential equations with non-instantaneous impulses on ordered Banach spaces. Using Lyapunov function, Lipschitz stability of zero solutions to nonlinear ordinary differential equation with non-instantaneous impulses is ...
Chen, Pengyu, Xin, Zhen, Zhang, Xuping
openaire   +1 more source

Numerical solution of ordinary differential equations with impulse solution

Applied Mathematics and Computation, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

First-order impulsive ordinary differential equations with anti-periodic and nonlinear boundary conditions

Nonlinear Analysis: Theory, Methods & Applications, 2000
The monotone iterative technique, coupled with the method of upper and lower solutions, is used to prove the existence of a unique solution to a class of boundary value problems for a first-order differential equation with impulses, including the case of antiperiodic conditions.
Franco, Daniel, Nieto, Juan J.
openaire   +1 more source

Existence, Uniqueness and UHR Stability of Solutions to Nonlinear Ordinary Differential Equations with Noninstantaneous Impulses

International Journal of Nonlinear Sciences and Numerical Simulation, 2019
AbstractWe consider the existence, uniqueness and Ulam–Hyers–Rassias stability of solutions to the initial value problem with noninstantaneous impulses on ordered Banach spaces. The existence and uniqueness of solutions for nonlinear ordinary differential equation with noninstantaneous impulses is obtained by using perturbation technique, monotone ...
Zhang, Xuping, Xin, Zhen
openaire   +1 more source

Systems governed by ordinary differential equations with continuous, switching and impulse controls

Applied Mathematics & Optimization, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Linear ordinary differential equations with constant coefficients. Revisiting the impulsive response method using factorization

International Journal of Mathematical Education in Science and Technology, 2011
We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations based on the factorization of the differential operator. The approach is elementary, we only assume a basic knowledge of calculus and linear algebra.
openaire   +2 more sources

Non-instantaneous Impulses on Random Time in Differential Equations with Ordinary/Fractional Derivatives

2017
In some real world phenomena a process may change instantaneously at uncertain moments and act non instantaneously on finite intervals. In modeling such processes it is necessarily to combine deterministic differential equations with random variables at the moments of impulses.
Ravi Agarwal, Snezhana Hristova, Donal O’Regan   +2 more
openaire   +1 more source

Periodic boundary value problem for a system of ordinary differential equations with impulse effects

AIP Conference Proceedings, 2016
In this work, we investigated a nonlinear periodic boundary value problem with impulse effects. We have found some sufficient conditions for existence of isolated solution to periodic boundary value problem for system of nonlinear differential equations with impulse effects.
openaire   +1 more source

A fresh look at linear ordinary differential equations with constant coefficients. Revisiting the impulsive response method using factorization

International Journal of Mathematical Education in Science and Technology, 2015
We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations of any order based on the factorization of the differential operator. The approach is elementary, we only assume a basic knowledge of calculus and linear algebra. In particular, we avoid the use of distribution theory, as well
openaire   +2 more sources