Vol. 5 No. 2 (2021): Vol 5, Iss 2, Year 2021
Articles

Oscillation theory of q-difference equation

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  • Soundarya,
  • Gerly T G,
  • Rexma Sherine V
Soundarya
Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur District, Tamil Nadu, South India.
Gerly T G
Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur District, Tamil Nadu, South India.
Rexma Sherine V
Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur District, Tamil Nadu, South India.
DOI: https://doi.org/10.26524/cm111
Published December 20, 2021
Keywords
  • Oscillation, Non-oscillation, q-Difference equation
How to Cite
Soundarya, T G, G., & V, R. S. (2021). Oscillation theory of q-difference equation. Journal of Computational Mathematica, 5(2), 83 - 91. https://doi.org/10.26524/cm111

Abstract

In this research article, the authors present the oscillation theory of the q-difference equation

K(t)y(qt)+k(t/q)y(t/q)= r(t)y(t)

where r(t) = k(t)+k(t/q)-q(t) In particular we prove that this q-difference equation is oscillatory or non-oscillatory for different conditions.

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