Basic Theory for Nonresonance Impulsive Periodic Problems of First Order

Basic Theory for Nonresonance Impulsive Periodic Problems of First Order

We study the existence of solutions for a nonlinear ordinary differential equation of first order with periodic boundary value conditions and subjected to impulse actions at fixed moments. We develop basic results for the linear situation and then we study the nonlinear problem extending known resul...

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Veröffentlicht in:Journal of mathematical analysis and applications 1997-01, Vol.205 (2), p.423-433
1. Verfasser: Nieto, Juan J.
Format: Artikel
Sprache:eng
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Zusammenfassung:We study the existence of solutions for a nonlinear ordinary differential equation of first order with periodic boundary value conditions and subjected to impulse actions at fixed moments. We develop basic results for the linear situation and then we study the nonlinear problem extending known results when the impulses are absent.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.1997.5207