Research Article

Oscillation of noncanonical second-order advanced differential equations via canonical transform

Volume: 5 Number: 1 March 14, 2022
EN

Oscillation of noncanonical second-order advanced differential equations via canonical transform

Abstract

In this paper, we develop a new technique to deduce oscillation of a second-order noncanonical advanced differential equation by using established criteria for second-order canonical advanced differential equations. We illustrate our results by presenting two examples.

Keywords

References

  1. R. P. Agarwal, M. Bohner andW. T. Li: Nonoscillation and oscillation: theory for functional differential equations, volume 267 of Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker, Inc., New York, 2004.
  2. R. P. Agarwal, S. R. Grace and D. O’Regan: Oscillation theory for second order linear, halflinear, superlinear and sublinear dynamic equations, Kluwer Academic Publishers, Dordrecht, 2002.
  3. R. P. Agarwal, C. Zhang and T. Li: New Kamenev-type oscillation criteria for second-order nonlinear advanced dynamic equations, Appl. Math. Comput., 225 (2013), 822–828.
  4. B. Baculíková: Oscillation of second-order nonlinear noncanonical differential equations with deviating argument, Appl. Math. Lett., 91 (2019), 68–75.
  5. G. E. Chatzarakis, J. Džurina and I. Jadlovská: New oscillation criteria for second-order half-linear advanced differential equations, Appl. Math. Comput., 347 (2019), 404–416.
  6. G. E. Chatzarakis, S. R. Grace and I. Jadlovská: A sharp oscillation criterion for second-order half-linear advanced differential equations, Acta Math. Hungar., 163 (2) (2021), 552–562.
  7. G. E. Chatzarakis, I. Jadlovská: Improved oscillation results for second-order half-linear delay differential equations, Hacet. J. Math. Stat., 48 (1) (2019) 170–179.
  8. G. Chatzarakis, O. Moaaz, T. Li and B. Qaraad: Some oscillation theorems for nonlinear secondorder differential equations with an advanced argument, Adv. Difference Equ., Paper No. 160 (2020), 17 pages.

Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Authors

Kumar S. Vıdhyaa This is me
India

Ethiraju Thandapani This is me
India

Publication Date

March 14, 2022

Submission Date

January 9, 2022

Acceptance Date

February 14, 2022

Published in Issue

Year 2022 Volume: 5 Number: 1

APA
Bohner, M., Vıdhyaa, K. S., & Thandapani, E. (2022). Oscillation of noncanonical second-order advanced differential equations via canonical transform. Constructive Mathematical Analysis, 5(1), 7-13. https://doi.org/10.33205/cma.1055356
AMA
1.Bohner M, Vıdhyaa KS, Thandapani E. Oscillation of noncanonical second-order advanced differential equations via canonical transform. CMA. 2022;5(1):7-13. doi:10.33205/cma.1055356
Chicago
Bohner, Martin, Kumar S. Vıdhyaa, and Ethiraju Thandapani. 2022. “Oscillation of Noncanonical Second-Order Advanced Differential Equations via Canonical Transform”. Constructive Mathematical Analysis 5 (1): 7-13. https://doi.org/10.33205/cma.1055356.
EndNote
Bohner M, Vıdhyaa KS, Thandapani E (March 1, 2022) Oscillation of noncanonical second-order advanced differential equations via canonical transform. Constructive Mathematical Analysis 5 1 7–13.
IEEE
[1]M. Bohner, K. S. Vıdhyaa, and E. Thandapani, “Oscillation of noncanonical second-order advanced differential equations via canonical transform”, CMA, vol. 5, no. 1, pp. 7–13, Mar. 2022, doi: 10.33205/cma.1055356.
ISNAD
Bohner, Martin - Vıdhyaa, Kumar S. - Thandapani, Ethiraju. “Oscillation of Noncanonical Second-Order Advanced Differential Equations via Canonical Transform”. Constructive Mathematical Analysis 5/1 (March 1, 2022): 7-13. https://doi.org/10.33205/cma.1055356.
JAMA
1.Bohner M, Vıdhyaa KS, Thandapani E. Oscillation of noncanonical second-order advanced differential equations via canonical transform. CMA. 2022;5:7–13.
MLA
Bohner, Martin, et al. “Oscillation of Noncanonical Second-Order Advanced Differential Equations via Canonical Transform”. Constructive Mathematical Analysis, vol. 5, no. 1, Mar. 2022, pp. 7-13, doi:10.33205/cma.1055356.
Vancouver
1.Martin Bohner, Kumar S. Vıdhyaa, Ethiraju Thandapani. Oscillation of noncanonical second-order advanced differential equations via canonical transform. CMA. 2022 Mar. 1;5(1):7-13. doi:10.33205/cma.1055356

Cited By