Electronic Journal of Differential Equations

Electron. J. Diff. Eqns., Vol. 2007(2007), No. 163, pp. 1-14.

### Non-oscillatory behaviour of higher order functional differential equations of neutral type

Radhanath Rath, Niyati Misra,

Prayag Prasad Mishra, Laxmi Narayan Padhy Abstract:
In this paper, we obtain sufficient conditions so that the neutral functional differential equation
has a bounded and positive solution. Here ; are continuous functions with ; and are increasing functions which are less than , and approach infinity as . In our work, is admissible, and neither we assume that is non-decreasing, that for , nor that is Lipschitzian. Hence the results of this paper generalize many results in [1] and [4]-[8].

Submitted September 24, 2007. Published November 30, 2007.
Math Subject Classifications: 34C10, 34C15, 34K40.
Key Words: Oscillatory solution; nonoscillatory solution; asymptotic behaviour.

Show me the DVI(106 KB), PDF(262 KB), TEX and other files for this article.

| Radhanath Rath Department of Mathematics Khallikote Autonomous College Berhampur, 760001 Orissa, India email: radhanathmath@yahoo.co.in
| Niyati Misra Department of Mathematics Berhampur University Berhampur, 760007 Orissa, India email: niyatimath@yahoo.co.in
| Prayag Prasad Mishra Department of Mathematics Silicin Institute of Technology Bhubaneswar, Orissa, India email: prayag@silicon.ac.in
| Laxmi Narayan Padhy Department of Computer Science and Engineering, K.I.S.T, Bhubaneswar Orissa, India email: ln_padhy_2006@yahoo.co.in

Return to the EJDE web page