Results 211 to 220 of about 774 (250)

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   +3 more sources

Some of the next articles are maybe not open access.

Related searches:

Boundary value problems for higher order ordinary differential equations with impulses

Nonlinear Analysis: Theory, Methods & Applications, 1998
The authors use the method of upper and lower solutions coupled with a monotone iterative technique, to study existence and approximation of solutions to some boundary value problems for higher-order ordinary differential equations with impulses of the type \[ u^{(n)}(t) = f(t,u(t)), \text{ for } \;a.e.
Alberto Cabada, Eduardo Liz
exaly   +2 more sources

Positive Periodic Solutions for a First Order Singular Ordinary Differential Equation Generated by Impulses

Qualitative Theory of Dynamical Systems, 2017
This paper is devoted to the solvability of the following singular boundary value problem with impulsive effects \[ x'(t)=-g(x(t))+e(t), \] \[ \Delta x(t_k)=x(t^+_k)-x(t^-_k)=I_k(x(t_k)),\, k=1,\dots,q, \] \[ x(0)=x(T),\, T>0, \] where \(g:(0,\infty)\to(0,\infty)\) is a continuous and bijective function such that \(\lim_{t\to 0^+}g(t)=+\infty\) and ...
Juan J Nieto, Nieto Juan J
exaly   +2 more sources

Systems of differential equations with implicit impulses and fully nonlinear boundary conditions

Boundary Value Problems, 2013
We show that systems of second-order ordinary differential equations, x′ = f (t, x, x″), subject to compatible nonlinear boundary conditions and impulses, have a solution x such that (t, x(t)) lies in an admissible bounding subset of [0, 1] × ℝ when f ...
Bevan Thompson
exaly   +2 more sources

Galerkin Methods for Nonlinear Ordinary Differential Equation with Impulses

Numerical Algorithms, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
François Dubeau, Abdelatif Ouansafi, A. Sakat   +2 more
openaire   +1 more source

Asymptotic equivalence of ordinary and impulsive operator–differential equations

Communications in Nonlinear Science and Numerical Simulation, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anatoliy A. Martynyuk, Gani Tr. Stamov, Ivanka M. Stamova   +2 more
openaire   +1 more source

INTEGRAL SURFACES FOR HYPERBOLIC ORDINARY DIFFERENTIAL EQUATIONS WITH IMPULSES

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 1985
The paper considers integral surfaces of systems of differential equations with impulse perturbations at fixed moments of time. Sufficient conditions have been obtained for the existence of integral surfaces with definite properties and the behaviour of the solutions has been studied with initial conditions outside these surfaces.
Hristova, S. G., Bainov, D. D.
openaire   +2 more sources

Ordinary dichotomy and perturbations of the impulse matrices of linear impulsive differential equation

International Journal of Theoretical Physics, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Milev, N. V., Bajnov, D. D.
openaire   +1 more source

Boundedness and periodicity in impulsive ordinary and functional differential equations

Nonlinear Analysis: Theory, Methods & Applications, 2006
Periodicity and boundedness are studied for the impulsive ordinary differential equation \[ {\begin{cases} x'(t)=f(t,x),& t\not=t_k,t\geq 0\\ x(t_k)=I_k(x(t_k^-)),&k\in N, \end{cases}} \] and for a similar functional differential equation. Horn's fixed point theorem is applied to establish Hale-Yoshizawa type criteria for the existence of periodic ...
Shen, Jianhua, Li, Jianli, Wang, Qing
openaire   +1 more source

On Impulsive Ordinary and Delay Differential Equations

2002
Existence and uniqueness of the solution to ordinary and delay differential equations with infinitely many state-dependent impulses are considered. A simple transformation allows us to show that these problems are equivalent to problems without impulse. A fixed point approach is then applied for an appropriate norm.
François Dubeau, Jamila Karrakchou, Abdellatif Ouansafi, Abdeljalil Sakat   +3 more
openaire   +1 more source