Oscillation and Periodicity of a Second Order Impulsive Delay Differential Equation with a Piecewise Constant Argument
Gizem S. Oztepe; Fatma Karakoc; Huseyin Bereketoglu
Communications in Mathematics (2017)
- Volume: 25, Issue: 2, page 89-98
- ISSN: 1804-1388
Access Full Article
topAbstract
topHow to cite
topOztepe, Gizem S., Karakoc, Fatma, and Bereketoglu, Huseyin. "Oscillation and Periodicity of a Second Order Impulsive Delay Differential Equation with a Piecewise Constant Argument." Communications in Mathematics 25.2 (2017): 89-98. <http://eudml.org/doc/294391>.
@article{Oztepe2017,
abstract = {This paper concerns with the existence of the solutions of a second order impulsive delay differential equation with a piecewise constant argument. Moreover, oscillation, nonoscillation and periodicity of the solutions are investigated.},
author = {Oztepe, Gizem S., Karakoc, Fatma, Bereketoglu, Huseyin},
journal = {Communications in Mathematics},
keywords = {Oscillation; periodicity; piecewise continuous argument; impulsive differential equations},
language = {eng},
number = {2},
pages = {89-98},
publisher = {University of Ostrava},
title = {Oscillation and Periodicity of a Second Order Impulsive Delay Differential Equation with a Piecewise Constant Argument},
url = {http://eudml.org/doc/294391},
volume = {25},
year = {2017},
}
TY - JOUR
AU - Oztepe, Gizem S.
AU - Karakoc, Fatma
AU - Bereketoglu, Huseyin
TI - Oscillation and Periodicity of a Second Order Impulsive Delay Differential Equation with a Piecewise Constant Argument
JO - Communications in Mathematics
PY - 2017
PB - University of Ostrava
VL - 25
IS - 2
SP - 89
EP - 98
AB - This paper concerns with the existence of the solutions of a second order impulsive delay differential equation with a piecewise constant argument. Moreover, oscillation, nonoscillation and periodicity of the solutions are investigated.
LA - eng
KW - Oscillation; periodicity; piecewise continuous argument; impulsive differential equations
UR - http://eudml.org/doc/294391
ER -
References
top- Akhmet, M., Nonlinear hybrid continuous/discrete-time models., 2011, Springer Science & Business Media. (2011) Zbl1328.93001MR2883822
- Bereketoglu, H., Oztepe, G.S., 10.18514/MMN.2013.595, Miskolc Math. Notes, 14, 2013, 801-815, (2013) Zbl1299.34247MR3153966DOI10.18514/MMN.2013.595
- Bereketoglu, H., Oztepe, G.S., Asymptotic constancy for impulsive differential equations with piecewise constant argument, Bull. Math. Soc. Sci. Math. Roumanie Tome, 57, 2014, 181-192, (2014) MR3236647
- Bereketoglu, H., Seyhan, G., Ogun, A., 10.3846/1392-6292.2010.15.175-187, Math. Model. Anal, 15, 2, 2010, 175-187, (2010) Zbl1218.34095MR2604207DOI10.3846/1392-6292.2010.15.175-187
- Bereketoglu, H., Seyhan, G., Karakoc, F., On a second order differential equation with piecewise constant mixed arguments, Carpath. J. Math, 27, 1, 2011, 1-12, (2011) Zbl1265.34272MR2848121
- Busenberg, S., Cooke, K., Vertically Transmitted Diseases, Models and Dynamics, Biomathematics, 23, 1993, Springer, Berlin, (1993) Zbl0837.92021MR1206227
- Chen, C.H., Li, H.X., Almost automorphy for bounded solutions to second-order neutral differential equations with piecewise constant arguments, Elect. J. Diff. Eq., 140, 2013, 1-16, (2013) Zbl1292.34076MR3084620
- Gouzé, J.L., Sari, T., 10.1080/1468936021000041681, Dynamic. Syst., 17, 4, 2002, 299-316, (2002) Zbl1054.34013MR1975116DOI10.1080/1468936021000041681
- Karakoc, F., Bereketoglu, H., Seyhan, G., 10.1007/s10440-009-9458-9, Acta Appl. Math., 110, 1, 2010, 499-510, (2010) Zbl1196.34104MR2601669DOI10.1007/s10440-009-9458-9
- Küpper, T., Yuan, R., 10.1006/jmaa.2001.7761, J. Math. Anal. Appl., 267, 1, 2002, 173-193, (2002) Zbl1008.34063MR1886823DOI10.1006/jmaa.2001.7761
- Li, J., Shen, J., Periodic boundary value problems of impulsive differential equations with piecewise constant argument, J. Nat. Sci. Hunan Norm. Univ., 25, 2002, 5-9, (2002) Zbl1047.34076MR1939990
- Li, H.X., 10.1016/j.jmaa.2004.05.034, J. Math. Anal. Appl., 298, 2, 2004, 693-709, (2004) Zbl1064.34056MR2086984DOI10.1016/j.jmaa.2004.05.034
- Nieto, J.J., Lopez, R.R., 10.1016/j.jmaa.2004.09.023, J. Math. Anal. Appl., 304, 1, 2005, 33-57, (2005) Zbl1078.34046MR2124647DOI10.1016/j.jmaa.2004.09.023
- Oztepe, G.S., Bereketoglu, H., Convergence in an impulsive advanced differential equations with piecewise constant argument, Bull. Math. Anal. Appl., 4, 2012, 57-70, (2012) Zbl1314.34150MR2989710
- Seifert, G., Second order scalar functional differential equations with piecewise constant arguments, J. Difference Equ. Appl., 8, 5, 2002, 427-445, (2002) Zbl1010.34069MR1897067
- Wang, G.Q., Cheng, S.S., Existence of periodic solutions for second order Rayleigh equations with piecewise constant argument, Turkish J. Math., 30, 1, 2006, 57-74, (2006) Zbl1103.34064MR2215507
- Wiener, J., Generalized solutions of functional differential equations, 1993, Singapore, World Scientific, (1993) Zbl0874.34054
- Wiener, J., Lakshmikantham, V., 10.1016/S0362-546X(98)00245-4, Nonlinear Anal., 38, 1, 1999, 1-11, (1999) Zbl0945.34048MR1692949DOI10.1016/S0362-546X(98)00245-4
- Wiener, J., Lakshmikantham, V., Differential equations with piecewise constant argument and impulsive equations, Nonlinear Studies, 7, 1, 2000, 60-69, (2000) Zbl0997.34076MR1856579
- Yuan, R., 10.1016/S0362-546X(98)00316-2, Nonlinear Anal., 41, 7, 2000, 871-890, (2000) Zbl1024.34068MR1764025DOI10.1016/S0362-546X(98)00316-2
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.