Research Article

INTERVAL OSCILLATION CRITERIA FOR SECOND-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS

Volume: 36 Number: 2 June 1, 2018
  • Süleyman Öğrekçi

INTERVAL OSCILLATION CRITERIA FOR SECOND-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS

Abstract

This paper concerns the oscillation problem of a general class of second-order differential equations. New interval oscillation criteria for a class of second- order functional nonlinear differential equations with damping and forcing terms have been established by using the classical Riccati technique and averaging function of Philos type. Obtained results extend some of previous works and particularly answer a comment published previously. Illustrative examples also stated.

Keywords

References

  1. [1] J.S.W. Wong, On Kamenev-type oscillation for second order differential equations with damping, J. Math. Anal. Appl. 248 (2001) 244–257.
  2. [2] X. Yang, Oscillation criteria for nonlinear differential equations with damping, Applied Mathematics and Computation 136 (2003) 549–557.
  3. [3] Y.V. Rogovchenko, Oscillation theorems for second order equations with damping, Nonlinear Anal. 41 (2000) 1005–1028.
  4. [4] A. Tiryaki and A. Zafer, Oscillation criteria for second order nonlinear differential equation with damping, Turkish J. Math. 24 (2000) 185–196.
  5. [5] O.G. Mustafa and S.P. Rogovchenko, Oscillation of nonlinear second order differential equations with damping term, J. Math. Anal. Appl. 298 (2004) 604–620.
  6. [6] S.P. Rogovchenko and Yu.V. Rogovchenko, Oscillation of second order differential equations with damping, Dynam. Contin. Discrete Impuls. Syst. Ser. A 10 (2003) 447–461.
  7. [7] B. Ayanlar and A. Tiryaki, Oscillation theorems for nonlinear second order differential equation with damping, Acta Math. Hungar. 89 (2000) 1-13.
  8. [8] S.P. Rogovchenko and Yu.V. Rogovchenko, Oscillation theorems for differential equations with a nonlinear damping term, J. Math. Anal. Appl.279 (2003) 139–152.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Süleyman Öğrekçi This is me
0000-0003-1205-6848
Türkiye

Publication Date

June 1, 2018

Submission Date

August 17, 2017

Acceptance Date

January 9, 2018

Published in Issue

Year 2018 Volume: 36 Number: 2

APA
Öğrekçi, S. (2018). INTERVAL OSCILLATION CRITERIA FOR SECOND-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS. Sigma Journal of Engineering and Natural Sciences, 36(2), 351-359. https://izlik.org/JA95EX54ZP
AMA
1.Öğrekçi S. INTERVAL OSCILLATION CRITERIA FOR SECOND-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS. SIGMA. 2018;36(2):351-359. https://izlik.org/JA95EX54ZP
Chicago
Öğrekçi, Süleyman. 2018. “INTERVAL OSCILLATION CRITERIA FOR SECOND-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS”. Sigma Journal of Engineering and Natural Sciences 36 (2): 351-59. https://izlik.org/JA95EX54ZP.
EndNote
Öğrekçi S (June 1, 2018) INTERVAL OSCILLATION CRITERIA FOR SECOND-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS. Sigma Journal of Engineering and Natural Sciences 36 2 351–359.
IEEE
[1]S. Öğrekçi, “INTERVAL OSCILLATION CRITERIA FOR SECOND-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS”, SIGMA, vol. 36, no. 2, pp. 351–359, June 2018, [Online]. Available: https://izlik.org/JA95EX54ZP
ISNAD
Öğrekçi, Süleyman. “INTERVAL OSCILLATION CRITERIA FOR SECOND-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS”. Sigma Journal of Engineering and Natural Sciences 36/2 (June 1, 2018): 351-359. https://izlik.org/JA95EX54ZP.
JAMA
1.Öğrekçi S. INTERVAL OSCILLATION CRITERIA FOR SECOND-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS. SIGMA. 2018;36:351–359.
MLA
Öğrekçi, Süleyman. “INTERVAL OSCILLATION CRITERIA FOR SECOND-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS”. Sigma Journal of Engineering and Natural Sciences, vol. 36, no. 2, June 2018, pp. 351-9, https://izlik.org/JA95EX54ZP.
Vancouver
1.Süleyman Öğrekçi. INTERVAL OSCILLATION CRITERIA FOR SECOND-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS. SIGMA [Internet]. 2018 Jun. 1;36(2):351-9. Available from: https://izlik.org/JA95EX54ZP

IMPORTANT NOTE: JOURNAL SUBMISSION LINK https://eds.yildiz.edu.tr/sigma/