Vol. 3 No. 2 (2019): Vol 3, Iss 2, Year 2019
Articles

Oscillation Criteria for Generalized First-Order Systems of Linear Difference Equations: u(k+l)= a(k)u+b(k)v,v(k+l)= c(k)u+d(k)v and u(k+l) = a(k)u+b(k)v+f_1 (k)v(k+l) = c(k)u+d(k)v+f_2 (k) where a(k),b(k),c(k),d(k) and f_i (k),i = 1,2 are real valued functions defined for k ≥ 0.

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  • Chandrasekar V,
  • Benevatho Jaison A
Chandrasekar V
Department of Mathematics, Thiruvalluvar University College of Arts and Science, Thennangur-604408, Vandavasi, Tamil Nadu, S.India
Benevatho Jaison A
VIT Bhopal, Sehore - 466114, Madhya Pradesh, N.India.
DOI: https://doi.org/10.26524/cm59
Published December 30, 2019
Keywords
  • Generalized, Linear, Vector Analysis.
How to Cite
V, C., & A, B. J. (2019). Oscillation Criteria for Generalized First-Order Systems of Linear Difference Equations: u(k+l)= a(k)u+b(k)v,v(k+l)= c(k)u+d(k)v and u(k+l) = a(k)u+b(k)v+f_1 (k)v(k+l) = c(k)u+d(k)v+f_2 (k) where a(k),b(k),c(k),d(k) and f_i (k),i = 1,2 are real valued functions defined for k ≥ 0. Journal of Computational Mathematica, 3(2), 114-122. https://doi.org/10.26524/cm59

Abstract

In this article, we obtain conditions for the oscillation of vector solutions to the generalized first-order systems of linear difference equations u(k+l)= a(k)u+b(k)v,v(k+l)= c(k)u+d(k)v and u(k+l) = a(k)u+b(k)v+f_1 (k)v(k+l) = c(k)u+d(k)v+f_2 (k) where a(k),b(k),c(k),d(k) and f_i (k),i = 1,2 are real valued functions defined for k ≥ 0.

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