The Journal of the Indian Mathematical Society

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Oscillation Criteria for nth Order Nonlinear Dynamic Equations on Time-Scales


Affiliations
1 Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt
2 Department of Mathematics, Universidade dos Acore, R. Mae de Deus, 9500-321 Ponta Delgada, Portugal
3 Department of Mathematics, Texas A&M University - Kingsville, TX 78363-8202, United States
     

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Some new criteria for the oscillation of nth order nonlinear dynamic equation xΔn(t) + q (t) xλ(σ(t)) = o are established.

Keywords

Oscillation, Nonoscillation, Dynamic Equations, Higher Order.
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  • Oscillation Criteria for nth Order Nonlinear Dynamic Equations on Time-Scales

Abstract Views: 152  |  PDF Views: 2

Authors

Said R. Grace
Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt
Sandra Pinelas
Department of Mathematics, Universidade dos Acore, R. Mae de Deus, 9500-321 Ponta Delgada, Portugal
Ravi P. Agarwal
Department of Mathematics, Texas A&M University - Kingsville, TX 78363-8202, United States

Abstract


Some new criteria for the oscillation of nth order nonlinear dynamic equation xΔn(t) + q (t) xλ(σ(t)) = o are established.

Keywords


Oscillation, Nonoscillation, Dynamic Equations, Higher Order.