Kamenev-Type Oscillation Criteria for Generalized Second Order Sublinear -Difference Equations

  • Authors

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

    Received date: February 25, 2019

    Accepted date: February 25, 2019

    Published date: October 2, 2018

    https://doi.org/10.14419/ijet.v7i4.10.27916
  • Delay, Sublinear, Superlinear.

  • Abstract

    By means of Riccati transformation techniques, authors establish some new oscillation criteria for generalized second order nonlinear -difference equation when  and  are quotient of odd positive integers.

     

     

     

  • References

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

      [2] Benevatho Jaison A, Khadar Babu Sk (2016), Oscillation for generalized 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 oscillation criteria for second order generalized delay difference equations. International Journal of Control Theory and Applications 9(28), 463-469.

      [4] Benevatho Jaison A, Khadar Babu Sk (2016), Oscillation for generalized 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.

      [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 oscillation 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 generalized second kind nonlinear delay a-difference equations. International 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 discrete 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, Inequalities, 2nd edn., Cambridge University Press, Cambridge (1952).

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

      [15] Maria Susai Manuel M, Chandrasekar V, Britto Antony Xavier G (2011), Solutions and applications of certain class of -difference equations. International Journal of Applied Mathematics 4(6), 943-954.

      [16] Popenda J, Szmanda B (1984), On the oscillation of solutions of certain difference equations. Demonstratio Mathematica 14(1), 153-164.

      [17] Srimanju V, Khadar Babu Sk (2017), Oscillatory criteria for generalized 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 generalized 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 generalized 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.

  • Downloads

  • How to Cite

    Benevatho Jaison, A., Khadar Babu, S., & Chandrasekar, V. (2018). Kamenev-Type Oscillation Criteria for Generalized Second Order Sublinear -Difference Equations. International Journal of Engineering and Technology, 7(4.10), 1046-1049. https://doi.org/10.14419/ijet.v7i4.10.27916

    Received date: February 25, 2019

    Accepted date: February 25, 2019

    Published date: October 2, 2018