On oscillatory first order neutral impulsive difference equations

Arun Kumar Tripathy; Gokula Nanda Chhatria

Mathematica Bohemica (2020)

  • Volume: 145, Issue: 4, page 361-375
  • ISSN: 0862-7959

Abstract

top
We have established sufficient conditions for oscillation of a class of first order neutral impulsive difference equations with deviating arguments and fixed moments of impulsive effect.

How to cite

top

Tripathy, Arun Kumar, and Chhatria, Gokula Nanda. "On oscillatory first order neutral impulsive difference equations." Mathematica Bohemica 145.4 (2020): 361-375. <http://eudml.org/doc/297024>.

@article{Tripathy2020,
abstract = {We have established sufficient conditions for oscillation of a class of first order neutral impulsive difference equations with deviating arguments and fixed moments of impulsive effect.},
author = {Tripathy, Arun Kumar, Chhatria, Gokula Nanda},
journal = {Mathematica Bohemica},
keywords = {oscillation; nonoscillation; impulsive difference equation; nonlinear neutral difference equation; delay},
language = {eng},
number = {4},
pages = {361-375},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On oscillatory first order neutral impulsive difference equations},
url = {http://eudml.org/doc/297024},
volume = {145},
year = {2020},
}

TY - JOUR
AU - Tripathy, Arun Kumar
AU - Chhatria, Gokula Nanda
TI - On oscillatory first order neutral impulsive difference equations
JO - Mathematica Bohemica
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 145
IS - 4
SP - 361
EP - 375
AB - We have established sufficient conditions for oscillation of a class of first order neutral impulsive difference equations with deviating arguments and fixed moments of impulsive effect.
LA - eng
KW - oscillation; nonoscillation; impulsive difference equation; nonlinear neutral difference equation; delay
UR - http://eudml.org/doc/297024
ER -

References

top
  1. Lakshmikantham, V., Bainov, D. D., Simieonov, P. S., 10.1142/0906, Series in Modern Applied Mathematics 6. World Scientific, Singapore (1989). (1989) Zbl0719.34002MR1082551DOI10.1142/0906
  2. Li, J., Shen, J., Positive solutions for first order difference equations with impulses, Int. J. Difference Equ. 1 (2006), 225-239. (2006) Zbl1142.39304MR2340076
  3. Li, X., Xi, Q., Oscillatory and asymptotic properties of impulsive difference equations with time-varying delays, Int. J. Difference Equ. 4 (2009), 201-209. (2009) MR2597151
  4. Li, Q., Zhang, Z., Guo, F., Liu, Z., Liang, H., 10.1016/j.cam.2008.07.002, J. Comput. Appl. Math. 225 (2009), 80-86. (2009) Zbl1161.39007MR2490172DOI10.1016/j.cam.2008.07.002
  5. Lu, W., Ge, W., Zhao, Z., 10.1016/j.cam.2010.04.037, J. Comput. Appl. Math. 234 (2010), 3366-3372. (2010) Zbl1206.39017MR2665392DOI10.1016/j.cam.2010.04.037
  6. Parhi, N., Tripathy, A. K., Oscillation criteria for forced nonlinear neutral delay difference equations of first order, Differ. Equ. Dyn. Syst. 8 (2000), 81-97. (2000) Zbl0978.39006MR1858770
  7. Parhi, N., Tripathy, A. K., On asymptotic behaviour and oscillation of forced first order nonlinear neutral difference equations, Fasc. Math. 32 (2001), 83-95. (2001) Zbl0994.39011MR1867949
  8. Parhi, N., Tripathy, A. K., 10.1080/1023619031000047680, J. Difference Equ. Appl. 9 (2003), 933-946. (2003) Zbl1135.39301MR1996344DOI10.1080/1023619031000047680
  9. Parhi, N., Tripathy, A. K., 10.1023/A:1022975525370, Czech. Math. J. 53 (2003), 83-101. (2003) Zbl1016.39011MR1962001DOI10.1023/A:1022975525370
  10. Peng, M., 10.1016/s0898-1221(02)00187-6, Comput. Math. Appl. 44 (2002), 741-748. (2002) Zbl1035.39006MR1925817DOI10.1016/s0898-1221(02)00187-6
  11. Peng, M., 10.1016/s0096-3003(02)00539-8, Appl. Math. Comput. 146 (2003), 227-235. (2003) Zbl1036.39015MR2007781DOI10.1016/s0096-3003(02)00539-8
  12. Tripathy, A. K., 10.11948/2014003, J. Appl. Anal. Comput. 4 (2014), 89-101. (2014) Zbl1292.34066MR3164912DOI10.11948/2014003
  13. Wang, P., Wang, W., Boundary value problems for first order impulsive difference equations, Int. J. Difference Equ. 1 (2006), 249-259. (2006) Zbl1142.39314MR2340078
  14. Wei, G. P., 10.1016/j.camwa.2005.08.025, Comput. Math. Appl. 50 (2005), 1579-1586. (2005) Zbl1088.39010MR2185709DOI10.1016/j.camwa.2005.08.025
  15. Zhang, H., Chen, L., 10.1142/s0219525906000677, Adv. Complex Syst. 9 (2006), 69-76. (2006) Zbl1113.39014MR2264168DOI10.1142/s0219525906000677

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.