Results 21 to 30 of about 775 (250)

A BLOCK-BY-BLOCK METHOD FOR THE IMPULSIVE FRACTIONAL ORDINARY DIFFERENTIAL EQUATIONS

Journal of Applied Analysis & Computation, 2020
Summary: In this paper, a block-by-block numerical method is constructed for the impulsive fractional ordinary differential equations (IFODEs). Firstly, the stability and convergence analysis of the scheme are established. Secondly, the numerical solution which converges to the exact solution with order \(3+\gamma\) for \(0 < \gamma < 1\), where ...
Cao, Junying, Chen, Lizhen, Wang, Ziqiang   +2 more
openaire   +2 more sources

On nonclassical impulsive ordinary differential equations with nonlocal conditions

International Journal of Analysis and Applications, 2019
Summary: Results on mild solutions of nonclassical differential equations with impulsive and nonlocal conditions are extended to a case when the nonlocal conditions are necessarily non Lipschitz and non compact.
Bishop, S.A., Agarana, M. C., Oghonyon, J. G.   +2 more
openaire   +7 more sources

Retarded functional differential equations with variable impulses via generalized ordinary differential equations [PDF]

, 2011
O objetivo deste trabalho é investigar propriedades qualitativas das soluções de equações diferenciais funcionais com retardamento e impulsos em tempo variável (EDFRs impulsivas) através da teoria de equações diferenciais ordinárias generalizadas (EDOs ...
Suzete Maria Silva Afonso, Afonso, Suzete Maria Silva   +1 more
core   +1 more source

Ulam’s type stability of impulsive ordinary differential equations

Journal of Mathematical Analysis and Applications, 2012
The authors consider the following impulsive differential equations \[ x'(t)= f(t,x(t)),\quad t\in J':= J\setminus\{t_1,\dotsc, t_m\},\quad J:= [0,T],\;T> 0, \] \[ \Delta x(t_k)= I_k(x(t^-_k)),\quad k= 1,2,\dotsc, m, \] where \(f: J\times\mathbb{R}\to \mathbb{R}\) is continuous, \(I_k: \mathbb{R}\to \mathbb{R}\), \(T< \infty\), and \[ x(t^+_k)= \lim_ ...
Wang, JinRong, Fec˘kan, Michal, Zhou, Yong   +2 more
openaire   +2 more sources

Controllability of nonlinear ordinary differential equations with non-instantaneous impulses

Mathematical Modelling and Control, 2022
<abstract><p>In this paper, we consider controllability of the initial value problem with non-instantaneous impulse on ordered Banach spaces. We firstly give a solution expression for initial value problems with non-instantaneous impulses in ordered Banach Spaces by using Schauder fixed point theorem.
Zhen Xin, Yuhe Yang, Qiaoxia Li
openaire   +2 more sources

Impulsive system of ODEs with general linear boundary conditions

Electronic Journal of Qualitative Theory of Differential Equations, 2013
The paper provides an operator representation for a problem which consists of a system of ordinary differential equations of the first order with impulses at fixed times and with general linear boundary conditions \begin{gather} z'(t) = A(t)z(t) + f(t,z ...
Irena Rachůnková, Jan Tomeček
doaj   +1 more source

Continuous dependence of the solution of a system of differential equations with impulses on the impulse hypersurfaces [PDF]

, 1988
In the present paper the initial value problem is considered for systems of ordinary differential equations with impulses where the impulses are realized in the moments when the integral curve of the system meets some of previously given hypersurfaces ...
Dishliev, A.B, Bainov, D.D
core   +1 more source

Oscillations of second-order nonlinear impulsive ordinary differential equations

Journal of Computational and Applied Mathematics, 2003
The authors study the second-order impulsive ordinary differential equation \[ \left(r(t)\bigl(x'(t)\bigr)^\sigma \right)'+f(t,x(t))=0, \qquad t\geq t_0, \;t\neq t_k, \;k=1,2,\dots \eqno(1) \] where \(r\in C({\mathbb R}, (0,\infty))\), \(f\in C({\mathbb R}\times {\mathbb R}, {\mathbb R})\) and \(f\) satisfies the sign condition \(xf(t,x)>0\) for all ...
He, Zhimin, Ge, Weigao
openaire   +1 more source

Lipschitz stability for generalized ordinary differential equations and impulsive retarded differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2019
Summary: We consider a class of retarded functional differential equations with preassigned moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory of generalized ordinary differential equations and Lyapunov functionals.
Afonso, Suzete, da Silva, Márcia
openaire   +3 more sources

Controllability and observability in generalized ordinary differential equations and applications [PDF]

, 2017
Neste trabalho, introduzimos os conceitos de controlabilidade e de observabilidade para equações diferenciais ordinárias generalizadas, apresentamos resultados inéditos sobre condições suficientes e necessárias para controlabilidade e para ...
Silva, Fernanda Andrade da
core   +1 more source