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Difference approximations for impulsive differential equations. (English) Zbl 1024.65065

Summary: A convergent difference approximation is obtained for a nonlinear impulsive system in a Banach space.

MSC:

65L12 Finite difference and finite volume methods for ordinary differential equations
65L05 Numerical methods for initial value problems involving ordinary differential equations
65L20 Stability and convergence of numerical methods for ordinary differential equations
34A37 Ordinary differential equations with impulses
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