EXISTENCE OF NONOSCILLATORY SOLUTIONS OF SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS

Volume: 9 Number: 3 September 1, 2019
  • B. Çına
  • T. Candan
  • M. T. Şenel
EN

EXISTENCE OF NONOSCILLATORY SOLUTIONS OF SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS

Abstract

We obtain some sucient conditions for the existence of nonoscillatory solutions of nonlinear second order neutral di erential equation with forcing term. Our results improve and extend some existing results. Examples are also included to illustrate our results.

Keywords

References

  1. Agarwal, Ravi P., Grace, Said R. and O’Regan, Donal, (2000), Oscillation Theory for Difference and Functional Differential Equations, Kluwer Academic Publishers.
  2. Agarwal, Ravi P., Bohner Martin and Li, Wan-Tong, (2004), Nonoscillation and Oscillation: Theory for Functional Differential Equations, Marcel Dekker, Inc., New York.
  3. Candan, T. and Dahiya, R. S., (2010), Existence of nonoscillatory solutions of first and second order neutral differential equations with distributed deviating arguments, J. Franklin Inst., 347, pp. 1309- 1316.
  4. Candan, T., (2012), The existence of nonoscillatory solutions of higher order nonlinear neutral equa- tions, Appl. Math. Lett., 25(3), pp. 412-416.
  5. Candan, T. and Dahiya, R. S., (2013), Existence of nonoscillatory solutions of higher order neutral differential equations with distributed deviating arguments, Math. Slovaca, 63(1), pp. 183-190.
  6. Candan, T., (2015), Nonoscillatory solutions of higher order differential and delay differential equations with forcing term, Appl. Math. Lett., 39, pp. 67-72.
  7. Erbe, L. H. and Kong, Q. and Zhang, B. G., (1995), Oscillation Theory for Functional Differential Equations, Marcel Dekker, Inc., New York.
  8. Gy¨ori, I. and Ladas, G., (1991), Oscillation Theory of Delay Differential Equations With Applications, Clarendon Press, Oxford.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

B. Çına This is me

T. Candan This is me

M. T. Şenel This is me

Publication Date

September 1, 2019

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2019 Volume: 9 Number: 3

APA
Çına, B., Candan, T., & Şenel, M. T. (2019). EXISTENCE OF NONOSCILLATORY SOLUTIONS OF SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS. TWMS Journal of Applied and Engineering Mathematics, 9(3), 666-674. https://izlik.org/JA86BC43ZS
AMA
1.Çına B, Candan T, Şenel MT. EXISTENCE OF NONOSCILLATORY SOLUTIONS OF SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS. JAEM. 2019;9(3):666-674. https://izlik.org/JA86BC43ZS
Chicago
Çına, B., T. Candan, and M. T. Şenel. 2019. “EXISTENCE OF NONOSCILLATORY SOLUTIONS OF SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS”. TWMS Journal of Applied and Engineering Mathematics 9 (3): 666-74. https://izlik.org/JA86BC43ZS.
EndNote
Çına B, Candan T, Şenel MT (September 1, 2019) EXISTENCE OF NONOSCILLATORY SOLUTIONS OF SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS. TWMS Journal of Applied and Engineering Mathematics 9 3 666–674.
IEEE
[1]B. Çına, T. Candan, and M. T. Şenel, “EXISTENCE OF NONOSCILLATORY SOLUTIONS OF SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS”, JAEM, vol. 9, no. 3, pp. 666–674, Sept. 2019, [Online]. Available: https://izlik.org/JA86BC43ZS
ISNAD
Çına, B. - Candan, T. - Şenel, M. T. “EXISTENCE OF NONOSCILLATORY SOLUTIONS OF SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS”. TWMS Journal of Applied and Engineering Mathematics 9/3 (September 1, 2019): 666-674. https://izlik.org/JA86BC43ZS.
JAMA
1.Çına B, Candan T, Şenel MT. EXISTENCE OF NONOSCILLATORY SOLUTIONS OF SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS. JAEM. 2019;9:666–674.
MLA
Çına, B., et al. “EXISTENCE OF NONOSCILLATORY SOLUTIONS OF SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS”. TWMS Journal of Applied and Engineering Mathematics, vol. 9, no. 3, Sept. 2019, pp. 666-74, https://izlik.org/JA86BC43ZS.
Vancouver
1.B. Çına, T. Candan, M. T. Şenel. EXISTENCE OF NONOSCILLATORY SOLUTIONS OF SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS. JAEM [Internet]. 2019 Sep. 1;9(3):666-74. Available from: https://izlik.org/JA86BC43ZS