Oscillation Criteria for Generalized Second Kind Sublinear Delay Difference Equations

Authors and Affiliations

  • A. Benevatho Jaison
  • SK. Khadar Babu
  • V. Chandrasekar

About this article

Download PDF

Keywords:

Generalized Difference Equation, Second Kind, Oscillation.

Abstract

The Using Riccati transformation techniques, we present some new oscillation criteria for generalized second kind nonlinear difference equation

 

when  is a quotient of odd positive integers,    

References

[1] Agarwal RP, Difference Equations and Inequalities, Marcel Dekker, New York, (2000).

[2] Benevatho Jaison A, Khadar Babu Sk (2016), Oscillation for gener-alized first order nonlinear difference equations. Global Journal of Pure and Applied Mathematics 12(1), 51-54.

[3] Benevatho Jaison A, Khadar Babu Sk (2016), Kamenev-type oscil-lation criteria for second order generalized delay difference equa-tions. International Journal of Control Theory and Applications 9(28), 463-469.

[4] Benevatho Jaison A, Khadar Babu Sk (2016), Oscillation for gener-alized first order nonlinear a-difference equations. International Journal of Pure and Applied Mathematics 109(7), 67-74.

[5] Benevatho Jaison A, Khadar Babu Sk (2017), Oscillation theorems for generalized second-order nonlinear delay difference equations. International Journal of Pure and Applied Mathematics 113(9), 84-92.

View more references (19)

[6] Benevatho Jaison A, Khadar Babu Sk (2017), Oscillation theorems for generalized second kind nonlinear delay difference equations. International Journal of Pure and Applied Mathematics 115(9), 25-36.

[7] Benevatho Jaison A, Khadar Babu Sk (2017), Oscillatory behavior of generalized nonlinear difference equations. Global Journal of Pure and Applied Mathematics 13(1), 205-209.

[8] Benevatho Jaison A, Khadar Babu Sk (2017), Oscillatory behavior of generalized Nonlinear difference equations. Global Journal of Pure and Applied Mathematics 13(2), 415-423.

[9] Benevatho Jaison A, Khadar Babu Sk (2018), Kamenev-type oscil-lation criteria for generalized sublinear delay difference equations. International Journal of Pure and Applied Mathematics 118(10), 135-145.

[10] Benevatho Jaison A, Khadar Babu Sk (2018), Oscillation for gener-alized second kind nonlinear delay a-difference equations. Interna-tional Journal of Pure and Applied Mathematics 118(23), 507-515.

[11] Chandrasekar V, Srimanju V (2016), Oscillation for generalized second order sublinear neutral delay alpha difference equations. Global Journal of Pure and Applied Mathematics 12(1), 55-59.

[12] Chandrasekar V, Srimanju V (2016), Qualitative properties of dis-crete version of generalized kneser’s and arzela-ascoli’s theorems. International Journal of Control Theory and Applications 9(28), 549-554.

[13] Hardy GH, Littlewood JE, Polya G, 2nd edn., Cambridge Univer-sity Press, Cambridge, (1952), 39-40.

[14] Maria Susai Manuel M, Britto Antony Xavier G, Thandapani E (2006), Theory of generalized difference operator and its applica-tions. Far East Journal of Mathematical Sciences 20(2), 163-171.

[15] Maria Susai Manuel M, Britto Antony Xavier G, Thandapani E (2006), Qualitative properties of solutions of certain class of differ-ence equations. Far East Journal of Mathematical Sciences 23(3), 295-304.

[16] Ronald E. Mickens, Difference Equations, Van Nostrand Reinhold Company, New York (1990).

[17] Srimanju V, Khadar Babu Sk (2017), Oscillatory criteria for gener-alized second-order quasilinear neutral delay difference equations. International Journal of Pure and Applied Mathematics 113(9), 75-83.

[18] Srimanju V, Khadar Babu Sk (2017), Oscillation of generalized quasilinear difference equations. International Journal of Pure and Applied Mathematics 115(9), 37-45.

[19] Srimanju V, Khadar Babu Sk (2017), Oscillation criteria for general-ized quasi-linear difference equations. Global Journal of Pure and Applied Mathematics 13(1), 210-216.

[20] Srimanju V, Khadar Babu Sk (2017), Oscillation criteria for general-ized second kind quasi-linear neutral a-difference equations. Global Journal of Pure and Applied Mathematics 13(2), 544-551.

[21] Srimanju V, Khadar Babu Sk (2018), Oscillatory properties of third-order quasilinear generalized difference equations. International Journal of Pure and Applied Mathematics 118(10), 155-165.

[22] Srimanju V, Khadar Babu Sk (2018), Oscillation of generalized quasilinear a-difference equations. International Journal of Pure and Applied Mathematics 118(23), 497-505.

[23] Szafranski Z, Szmanda B (1997), Oscillation theorems for some nonlinear difference equations. Appl. Math. Comput. 83 43-52.

[24] Szmanda B (1983), Oscillation criteria for second order non-linear difference equations. Anal. Pol. Math. 153, 225-235.


How to Cite

Benevatho Jaison, A., Khadar Babu, S., & Chandrasekar, V. (2018). Oscillation Criteria for Generalized Second Kind Sublinear Delay Difference Equations. International Journal of Engineering and Technology, 7(4.10), 340-343. https://doi.org/10.14419/ijet.v7i4.10.20930