Oscillation Criteria via Inequalities for Second Order Dynamic Inclusions

Said R. Grace; Ravi P. Agarwal; Donal O'regan

Vol 78, No 1-4 (2011)
Pages: 45-52
Published: 2011-04-01

Oscillation Criteria via Inequalities for Second Order Dynamic Inclusions

Said R. Grace ¹, Ravi P. Agarwal ², Donal O'regan ³

Affiliations
1 Department of Engg. Mathematics, Cairo University, Orman, Giza 12221, Egypt
2 Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
3 Department of Maths., National University of Ireland, Galway, Ireland

Oscillation criteria are established for second order dynamic inclusions of the form (ay^Δ)^Δ(t)∈ F(t, y^σ(t)) for a.e. t≥t₀≥0, t₀ ∈ T: We note that the results of this paper are new even in the single-valued case.