Research Article

NONOSCILLATORY SOLUTIONS OF CERTAIN NONLINEAR HIGHER ORDER DIFFERENTIAL AND DELAY DIFFERENTIAL EQUATIONS WITH FORCING TERM

Volume: 16 Number: 6 June 9, 2026

NONOSCILLATORY SOLUTIONS OF CERTAIN NONLINEAR HIGHER ORDER DIFFERENTIAL AND DELAY DIFFERENTIAL EQUATIONS WITH FORCING TERM

Abstract

There are some nonlinear higher order differential and delay equations with forcing term that are taken into consideration. Using the Schauder fixed point theorem, the sufficient conditions for the existence of nonoscillatory solutions to these equations are derived. The application of theoretical findings is demonstrated by an example. Our results generalize some known results in the references.

Keywords

References

  1. [1] Agarwal, R. P., Grace, S.R. and O’Regan, D., (2013), Oscillation theory for difference and functional differential equations, Springer Science and Business Media.
  2. [2] Agarwal, R. P., Bohner, M. and Li, W. T., (2004), Nonoscillation and oscillation theory for functional differential equations, CRC Press.
  3. [3] Candan, T., (2013), Existence of nonoscillatory solutions of first-order nonlinear neutral differential equations, Applied Mathematics Letters, 26(12), pp.1182-1186.
  4. [4] Candan, T., (2013), Existence of positive solutions of higher-order nonlinear neutral equations, Journal of Inequalities and Applications, 2013, pp.1-10.
  5. [5] Candan, T., (2015), Nonoscillatory solutions of higher order differential and delay differential equations with forcing term, Applied Mathematics Letters, 39, pp.67-72.
  6. [6] Candan, T., (2025), Existence of asymptotically decaying positive solutions of second-order neutral differential equations with distributed deviating arguments, Journal of applied mathematics and informatics, 43(2), pp.577-585.
  7. [7] Erbe, L., Kong, Q. and Zhang, B. G., (1994), Oscillation Theory for Functional Differential Equations (Vol. 190), CRC Press.
  8. [8] Fentao, W., (2002), Nonoscillatory solutions of fourth order quasilinear differential equations, Funkcial. Ekvac, 45, pp.71-88.

Details

Primary Language

English

Subjects

Ordinary Differential Equations, Difference Equations and Dynamical Systems

Journal Section

Research Article

Publication Date

June 9, 2026

Submission Date

April 28, 2025

Acceptance Date

July 22, 2025

Published in Issue

Year 2026 Volume: 16 Number: 6

APA
Candan, T. (2026). NONOSCILLATORY SOLUTIONS OF CERTAIN NONLINEAR HIGHER ORDER DIFFERENTIAL AND DELAY DIFFERENTIAL EQUATIONS WITH FORCING TERM. TWMS Journal of Applied and Engineering Mathematics, 16(6), 762-770. https://izlik.org/JA78TF53WE
AMA
1.Candan T. NONOSCILLATORY SOLUTIONS OF CERTAIN NONLINEAR HIGHER ORDER DIFFERENTIAL AND DELAY DIFFERENTIAL EQUATIONS WITH FORCING TERM. JAEM. 2026;16(6):762-770. https://izlik.org/JA78TF53WE
Chicago
Candan, Tuncay. 2026. “NONOSCILLATORY SOLUTIONS OF CERTAIN NONLINEAR HIGHER ORDER DIFFERENTIAL AND DELAY DIFFERENTIAL EQUATIONS WITH FORCING TERM”. TWMS Journal of Applied and Engineering Mathematics 16 (6): 762-70. https://izlik.org/JA78TF53WE.
EndNote
Candan T (June 1, 2026) NONOSCILLATORY SOLUTIONS OF CERTAIN NONLINEAR HIGHER ORDER DIFFERENTIAL AND DELAY DIFFERENTIAL EQUATIONS WITH FORCING TERM. TWMS Journal of Applied and Engineering Mathematics 16 6 762–770.
IEEE
[1]T. Candan, “NONOSCILLATORY SOLUTIONS OF CERTAIN NONLINEAR HIGHER ORDER DIFFERENTIAL AND DELAY DIFFERENTIAL EQUATIONS WITH FORCING TERM”, JAEM, vol. 16, no. 6, pp. 762–770, June 2026, [Online]. Available: https://izlik.org/JA78TF53WE
ISNAD
Candan, Tuncay. “NONOSCILLATORY SOLUTIONS OF CERTAIN NONLINEAR HIGHER ORDER DIFFERENTIAL AND DELAY DIFFERENTIAL EQUATIONS WITH FORCING TERM”. TWMS Journal of Applied and Engineering Mathematics 16/6 (June 1, 2026): 762-770. https://izlik.org/JA78TF53WE.
JAMA
1.Candan T. NONOSCILLATORY SOLUTIONS OF CERTAIN NONLINEAR HIGHER ORDER DIFFERENTIAL AND DELAY DIFFERENTIAL EQUATIONS WITH FORCING TERM. JAEM. 2026;16:762–770.
MLA
Candan, Tuncay. “NONOSCILLATORY SOLUTIONS OF CERTAIN NONLINEAR HIGHER ORDER DIFFERENTIAL AND DELAY DIFFERENTIAL EQUATIONS WITH FORCING TERM”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 6, June 2026, pp. 762-70, https://izlik.org/JA78TF53WE.
Vancouver
1.Tuncay Candan. NONOSCILLATORY SOLUTIONS OF CERTAIN NONLINEAR HIGHER ORDER DIFFERENTIAL AND DELAY DIFFERENTIAL EQUATIONS WITH FORCING TERM. JAEM [Internet]. 2026 Jun. 1;16(6):762-70. Available from: https://izlik.org/JA78TF53WE