Oscillatory and nonoscillatory solutions for first order impulsive dynamic inclusions on time scales

Mouffak Benchohra; Samira Hamani; Johnny Henderson

Archivum Mathematicum (2007)

  • Volume: 043, Issue: 4, page 237-250
  • ISSN: 0044-8753

Abstract

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In this paper we discuss the existence of oscillatory and nonoscillatory solutions for first order impulsive dynamic inclusions on time scales. We shall rely of the nonlinear alternative of Leray-Schauder type combined with lower and upper solutions method.

How to cite

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Benchohra, Mouffak, Hamani, Samira, and Henderson, Johnny. "Oscillatory and nonoscillatory solutions for first order impulsive dynamic inclusions on time scales." Archivum Mathematicum 043.4 (2007): 237-250. <http://eudml.org/doc/250174>.

@article{Benchohra2007,
abstract = {In this paper we discuss the existence of oscillatory and nonoscillatory solutions for first order impulsive dynamic inclusions on time scales. We shall rely of the nonlinear alternative of Leray-Schauder type combined with lower and upper solutions method.},
author = {Benchohra, Mouffak, Hamani, Samira, Henderson, Johnny},
journal = {Archivum Mathematicum},
keywords = {impulsive dynamic inclusion; oscillatory; convex valued multivalued; nonoscillatory; delta derivative; fixed point; time scale; upper and lower solutions; impulsive dynamic inclusion; oscillatory; convex valued multivalued; nonoscillatory},
language = {eng},
number = {4},
pages = {237-250},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Oscillatory and nonoscillatory solutions for first order impulsive dynamic inclusions on time scales},
url = {http://eudml.org/doc/250174},
volume = {043},
year = {2007},
}

TY - JOUR
AU - Benchohra, Mouffak
AU - Hamani, Samira
AU - Henderson, Johnny
TI - Oscillatory and nonoscillatory solutions for first order impulsive dynamic inclusions on time scales
JO - Archivum Mathematicum
PY - 2007
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 043
IS - 4
SP - 237
EP - 250
AB - In this paper we discuss the existence of oscillatory and nonoscillatory solutions for first order impulsive dynamic inclusions on time scales. We shall rely of the nonlinear alternative of Leray-Schauder type combined with lower and upper solutions method.
LA - eng
KW - impulsive dynamic inclusion; oscillatory; convex valued multivalued; nonoscillatory; delta derivative; fixed point; time scale; upper and lower solutions; impulsive dynamic inclusion; oscillatory; convex valued multivalued; nonoscillatory
UR - http://eudml.org/doc/250174
ER -

References

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