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Continuity of ODE solutions

✍ Scribed by M.S. Branicky

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
241 KB
Volume
7
Category
Article
ISSN
0893-9659

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✦ Synopsis

This paper gives two lemmas dealing with the continuity of solutions of ordinary differential equations with respect to perturbations in the vector field and initial conditions when the equations contain a linear part. The basic lemmas in ODE theory are special cases of these lemmas. The lemmas are useful in easily deriving some nonlinear ODE stability results. They are also useful in certain singular perturbation problems.

πŸ“œ SIMILAR VOLUMES

Bifurcations of Bounded Solutions of 1-P
Bifurcations of Bounded Solutions of 1-Parameter ODE's
✍ Marek Izydorek; Slawomir Rybicki πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 333 KB

Let (\*)x\* =F(x, \*) be a parameterized system of differential equations. Bifurcation points of bounded nonstationary solutions of system (\*) are investigated and sufficient conditions to the existence of such points are given.