Results 91 to 100 of about 11,835 (134)

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

Galerkin Methods for Nonlinear Ordinary Differential Equation with Impulses

Numerical Algorithms, 2003
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Dubeau, F., Ouansafi, A., Sakat, A.
openaire   +1 more source

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   +2 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
openaire   +2 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
openaire   +1 more source

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