Results 211 to 220 of about 68,318,938 (234)

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

Applied Mathematics and Optimization, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiongmin Yong
exaly   +3 more sources

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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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
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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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A New Measure of Robust Stablity for Linear Ordinary Impulsive Differential Equations

2016
A new measure of robust stability for linear ordinary impulsive differential equations with periodic structure is introduced, based on the impulse extension concept. This new stability measure reflects the sensitivity of the model to uncertainty in what we see as the fundamental hypothesis of impulsive models: that the impulse effect occurs quicky ...
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Monotone and quadratic convergence of approximate solutions of ordinary differential equations with impulse

1998
The authors extend the method of quasilinearization to the two-point boundary value problem for second-order impulsive differential equations \[ x{''}(t)=f(t,x(t)), \quad t_k < t < t_{k+1}, \;k = 0,\dots,m, \tag{1} \] \[ x(0) = a, \quad x(1) = b, \tag{2} \] \[ \Delta x(t_k) = u_k, \quad k = 1,\dots,m, \tag{3} \] \[ \Delta x^{'}(t_k) = v_k (x(t_k ...
Doddaballapur, Vidya, Eloe, Paul W.
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