Oscillation Criteria for Generalized Second Kind Sublinear Delay Difference Equations
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https://doi.org/10.14419/ijet.v7i4.10.20930
Received date: October 4, 2018
Accepted date: October 4, 2018
Published date: October 2, 2018
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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,
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References
- Agarwal RP, Difference Equations and Inequalities, Marcel Dekker, New York, (2000).
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Hardy GH, Littlewood JE, Polya G, 2nd edn., Cambridge Univer-sity Press, Cambridge, (1952), 39-40.
- 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.
- 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.
- Ronald E. Mickens, Difference Equations, Van Nostrand Reinhold Company, New York (1990).
- 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.
- Srimanju V, Khadar Babu Sk (2017), Oscillation of generalized quasilinear difference equations. International Journal of Pure and Applied Mathematics 115(9), 37-45.
- 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.
- 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.
- 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.
- Srimanju V, Khadar Babu Sk (2018), Oscillation of generalized quasilinear a-difference equations. International Journal of Pure and Applied Mathematics 118(23), 497-505.
- Szafranski Z, Szmanda B (1997), Oscillation theorems for some nonlinear difference equations. Appl. Math. Comput. 83 43-52.
- Szmanda B (1983), Oscillation criteria for second order non-linear difference equations. Anal. Pol. Math. 153, 225-235.
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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
