Results 221 to 230 of about 775 (250)

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
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Singular Dirichlet problem for ordinary differential equation with impulses

Nonlinear Analysis: Theory, Methods & Applications, 2006
The authors prove existence results for the following impulsive Dirichlet boundary value problem \[ u''(t)=f(t,u(t),u'(t)),\quad u(0)=A, \,\,\, u(T)=B, \] \[ u(t_j+)=I_j(u(t_j)), \,\,\, u'(t_j+)=M_j(u'(t_j)), \,\,\, j=1,\dots,p, \] where \(f\in Car((0,T)\times {\mathbb R}^2),\) \(f\) has time singularities at \(t=0\) and \(t=T,\) \(I_j, M_j\in C^0 ...
Rachůnková, Irena, Tomeček, Jan
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Fixed mesh approximation of ordinary differential equations with impulses

Numerische Mathematik, 1998
An effective algorithm is presented for approximation to the solution of an ordinary differential equation with impulsive forcing function. The system has the form \[ \dot x(t)= f(x(t),t)+ \sum^\infty_{j= 0}\alpha_i \delta(t- t_j),\quad 0\leq t\leq T;\quad x(0)= x_0,\tag{i} \] where \(\sum^\infty_{j= 0}|\alpha_j|< \infty\), and \(f\) is integrable ...
Delfour, Michel, Dubeau, François
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A high-order numerical scheme for the impulsive fractional ordinary differential equations

International Journal of Computer Mathematics, 2017
ABSTRACTIn this paper, we use a good technique to construct a high-order numerical scheme for the impulsive fractional ordinary differential equations (IFODEs). This technique is based on the so-called block-by-block method, which is a common method for the integral equations.
Junying Cao, Lizhen Chen, Ziqiang Wang
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Numerical solution of ordinary differential equations with impulse solution

Applied Mathematics and Computation, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Developing Software to Numerically Solve a System of Impulsive Ordinary Differential Equations

Proceedings of the West Virginia Academy of Science, 2020
Mathematical models can be used to simulate complex real-world behaviors and provide insights into how these behaviors work. Additionally, these models can be enhanced through complementary software that is able to better manipulate the large sample spaces their parameters tend to have.
BRIAN CRUTCHLEY, Qing Wang
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PID-type iterative learning control for impulsive ordinary differential equations

Journal of Applied Mathematics and Computing, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gao, Zhuoyan, Liu, Shengda, Wang, JinRong   +2 more
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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
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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.
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Lipschitz stability of nonlinear ordinary differential equations with non-instantaneous impulses in ordered Banach spaces

International Journal of Nonlinear Sciences and Numerical Simulation, 2021
Pengyu Chen
exaly