Oscillation result for half-linear delay difference equations of second-order-Reference-Cited by-同舟云学术

Oscillation result for half-linear delay difference equations of second-order

Published:2022 Issue:4 Volume:19 Page:3879-3891
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Jayakumar Chinnasamy¹,Santra Shyam Sundar²,Baleanu Dumitru³⁴⁵,Edwan Reem⁶,Govindan Vediyappan⁷,Murugesan Arumugam⁸,Altanji Mohamed⁹

Affiliation:

1. Department of Mathematics, Mahendra Arts & Science College (Autonomous), Kalipatti, Namakkal Dt., Tamil Nadu, India

2. Department of Mathematics, JIS College of Engineering, Kalyani 741235, India

3. Department of Mathematics and Computer Science, Faculty of Arts and Sciences, Cankaya University Ankara, 06790 Etimesgut, Turkey

4. Instiute of Space Sciences, Magurele-Bucharest, 077125 Magurele, Romania

5. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan, Republic of China

6. College Of Science And arts, Al-Ola, Taibah University, Al madinah Al Munawwarahn 344, Saudi Arabia

7. Department of Mathematics, Dmi St John The Baptist University, 800-Central Africa, Malawi

8. Department of Mathematics, Government Arts College (Autonomous), Salem - 636007, Tamil Nadu, India

9. Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia

Abstract

<abstract><p>In this paper, we obtain the new single-condition criteria for the oscillation of second-order half-linear delay difference equation. Even in the linear case, the sharp result is new and, to our knowledge, improves all previous results. Furthermore, our method has the advantage of being simple to prove, as it relies just on sequentially improved monotonicities of a positive solution. Examples are provided to illustrate our results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

Reference30 articles.

1. H. Adiguzel, Oscillation theorems for nonlinear fractional difference equations, Bound. Value Probl., (2018), 178. https://doi.org/10.1186/s13661-018-1098-4

2. J. Alzabut, V. Muthulakshmi, A. Ozbekler, H. Adiguzel, On the oscillation of Non-linear Fractional Difference Equations with Damping, Mathematics, 7 (2019). http://dx.doi.org/10.3390/math7080687

3. T. Ghosh, S.S. Santra, R. Bhattacharjee, D. Majumder, Second-order nonlinear differential equations: Oscillation tests and applications, J. Phys. Conference Ser. 1797 (2021), 012055. doi: 10.1088/1742-6596/1797/1/012055

4. A. Murugesan, K. Ammamuthu, Sufficient conditions for oscillation of second order neutral advanced difference equations, Int. J. Pure Appl. Math., 98(2015), 145–156. https://doi.org/10.26637/MJM0804/0089

5. B. Ping, M. Han, Oscillation of second order difference equations with advanced argument, Discrete Contin. Dyn. Syst., 2003 (2003), 108–112. http://doi.org/10.3934/proc.2003.2003.108

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