Oscillation of Second Order Quasi-linear Differential Equation with Several Neutral Terms

  • R. Arul Department of Mathematics, Kandaswami Kandar's College Velur - 638 182, Namakkal Dt. Tamil Nadu, India
  • V.S. Shobha Department of Mathematics, Kandaswami Kandar's College, Velur-638182, Namakkal Dt., Tamil Nadu, India
Keywords: Second order, quasilinear, neutral differential equation.

Abstract

This paper deals with the oscillatory behavior of solutions of second order neutral type differential equations. The results obtained here extend some of the existing results. Examples are provided to illustrate the main results.

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References

Baculikova.B and Dzurina.J (2011). Oscillation theorems for second order neutral differential equations, Comput. Math. Appl., 61, 94-99.

Driver.R (1984). A mixed neutral systems, Nonlinear Anal., 8, 155-158.

Erbe.L.H, Kong.Q and Zhang.B.G (1995). Oscillation Theory for Functional Differential Equations, Dekker, New York.

Hale.J.K (1977). Theory of Functional Differential Equations, Springer, New York.

Ladde.G.S, Lakshmikanthan.V and Zhang.B.G (1987). Oscillation Theory of Differential Equations with Deviating Arguments, Dekker, New York.

Sun.S, Li.T, Han.Z and Zhang.C (2013). On oscillation of second order nonlinear neutral functional differential equations, Bull. Malays Math. Sci. Soc., 36, 541-554.

Tang.X.H (2002). Oscillation for first order superlinear delay differential equations, J. London Math. Soc., 65, 115-122.

Tiryaki.A (2009). Oscillation criteria for a certain second order nonlinear differential equations with deviating arguments, Elect. J. Qual. Theory Differ. Equ., 61, 1-11.

Zhang.C, Mehmet.T.S and Li.T (2014). Oscillation of second order half linear differential equations with several neutral terms, J. Appl. Math. Comput., 44, 511-518.

Published
2016-04-18
How to Cite
Arul, R., & Shobha, V. (2016). Oscillation of Second Order Quasi-linear Differential Equation with Several Neutral Terms. Journal of Progressive Research in Mathematics, 7(2), 975-981. Retrieved from http://www.scitecresearch.com/journals/index.php/jprm/article/view/626
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Articles