Oscillation Criteria for Generalized Second Kind Sublinear Delay Difference Equations
-
2018-10-02 https://doi.org/10.14419/ijet.v7i4.10.20930 -
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
Â
when  is a quotient of odd positive integers,  Â
-
References
[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, 2nd edn., Cambridge University Press, Cambridge, (1952), 39-40.
[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 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 difference 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 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.
[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.
-
Downloads
-
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 & Technology, 7(4.10), 340-343. https://doi.org/10.14419/ijet.v7i4.10.20930Received date: 2018-10-04
Accepted date: 2018-10-04
Published date: 2018-10-02