Interval Oscillation Criteria for Second-order Forced Delay Differential Equation with Riemann-Stieltjes Integral


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Authors

  • V. Muthulakshmi Department of Mathematics, Periyar University, Salem, Tamilnadu, India
  • R. Manjuram Department of Mathematics, Periyar University, Salem, Tamilnadu, India

Keywords:

Interval criteria, Oscillation, Delay, Riemann-Stieltjes integral

Abstract

In this paper, we study the oscillatory behavior of second-order forced delay differential equation with Riemann-Stieltjes integral. By using the Riccati transformation technique, interval oscillation criteria of both El-Sayed type and Kong type are established, which generalize and extend some of the existing results. Finally, two examples are presented to illustrate the theoretical results.

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Published

20-01-2018

How to Cite

V. Muthulakshmi, & R. Manjuram. (2018). Interval Oscillation Criteria for Second-order Forced Delay Differential Equation with Riemann-Stieltjes Integral. International Journal of Mathematics And Its Applications, 6(1 - B), 281–295. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/924

Issue

Section

Research Article