EXISTENCE OF SOLUTIONS TO BOUNDARY VALUE PROBLEMS FOR IMPULSIVE SECOND ORDER DIFFERENTIAL INCLUSIONS

We consider nonlinear boundary value problems for second order differential inclusions y” ∈ F(t, y, y’) where the solution undergoes an impulse at certain points tk. The technique used is an adaptation of the topological transversality method to systems with impulses.

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Veröffentlicht in:The Rocky Mountain journal of mathematics 1992, Vol.22 (2), p.519-539
Hauptverfasser: ERBE, L., KRAWCEWICZ, W.
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider nonlinear boundary value problems for second order differential inclusions y” ∈ F(t, y, y’) where the solution undergoes an impulse at certain points tk. The technique used is an adaptation of the topological transversality method to systems with impulses.
ISSN:0035-7596
1945-3795
DOI:10.1216/rmjm/1181072746