Advanced impulsive differential equations with piecewise constant arguments
Abstract
We prove the existence and uniqueness of the solutions of a class of first order nonhomogeneous advanced impulsive differential equations with piecewise constant arguments. We also study the conditions of periodicity, oscillation, nonoscillation and global asymptotic stability for some special cases.
First published online: 09 Jun 2011
Keywords:
impulsive differential equation, differential equation with piecewise constant argument, oscillation, nonoscillation, periodicity, global asymptotic stabilityHow to Cite
Bereketoglu, H., Seyhan, G., & Ogun, A. (2010). Advanced impulsive differential equations with piecewise constant arguments. Mathematical Modelling and Analysis, 15(2), 175-187. https://doi.org/10.3846/1392-6292.2010.15.175-187
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Copyright (c) 2010 The Author(s). Published by Vilnius Gediminas Technical University.
This work is licensed under a Creative Commons Attribution 4.0 International License.
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Published
2010-04-20
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Copyright
Copyright (c) 2010 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Bereketoglu, H., Seyhan, G., & Ogun, A. (2010). Advanced impulsive differential equations with piecewise constant arguments. Mathematical Modelling and Analysis, 15(2), 175-187. https://doi.org/10.3846/1392-6292.2010.15.175-187