Title

Philos-type oscillation criteria for second order half-linear dynamic equations on time scales

Authors

Ravi P. Agarwal
Donal O'Regan
Samir H. Saker

Document Type

Article

Publication Title

Rocky Mountain Journal of Mathematics

Abstract

In this paper we establish some oscillation theorems for the second order half-linear dynamic equation (r(t)(x Δ(t) γ) Δ + p(t)x γ(t) = 0, ∈ [a,b], on time scales. Special cases of our results include some well-known oscillation results for second-order differential and half-linear differential equations. Our results are new for difference, generalized difference and q difference half-linear equations. Copyright © 2007 Rocky Mountain Mathematics Consortium.

First Page

1085

Last Page

1104

DOI

10.1216/rmjm/1187453098

Publication Date

2007

Recommended Citation

Agarwal, R.P., O'Regan, D., Saker, S.H. Philos-type oscillation criteria for second order half-linear dynamic equations on time scales (2007) Rocky Mountain Journal of Mathematics, 37 (4), pp. 1085-1104.