Results 201 to 210 of about 12,416 (263)

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.
semanticscholar   +4 more sources

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.
Cabada, Alberto, Liz, Eduardo
semanticscholar   +3 more sources

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
semanticscholar   +3 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
semanticscholar   +3 more sources

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
semanticscholar   +4 more sources

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
semanticscholar   +4 more sources

Galerkin Methods for Nonlinear Ordinary Differential Equation with Impulses

Numerical Algorithms, 2003
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Dubeau, F., Ouansafi, A., Sakat, A.
semanticscholar   +3 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
semanticscholar   +3 more sources

Numerical solution of ordinary differential equations with impulse solution

Applied Mathematics and Computation, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M.M. Hosseini
openaire   +3 more sources

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
openaire   +3 more sources