The Journal of the Indian Mathematical Society

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Oscillation Criteria via Inequalities for Second Order Dynamic Inclusions


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
     

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Oscillation criteria are established for second order dynamic inclusions of the form (ayΔ)Δ(t)∈ F(t, yσ(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.

Keywords

Oscillation, Superlinear, Sublinear, Dynamic Inclusions.
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  • Oscillation Criteria via Inequalities for Second Order Dynamic Inclusions

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Authors

Said R. Grace
Department of Engg. Mathematics, Cairo University, Orman, Giza 12221, Egypt
Ravi P. Agarwal
Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
Donal O'regan
Department of Maths., National University of Ireland, Galway, Ireland

Abstract


Oscillation criteria are established for second order dynamic inclusions of the form (ayΔ)Δ(t)∈ F(t, yσ(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.

Keywords


Oscillation, Superlinear, Sublinear, Dynamic Inclusions.