Resumen de Oscillation criteria for general third-order delay dynamic equations

Said R. Grace, Irena Jadlovská, G. N. Chhatria

• The goal of this work is to establish new criteria for oscillation of all solutions to a general third-order functional dynamic equation on time scales of the form r2(ν) r1(ν) y(ν)α1 α2 + q(ν)yβ(τ (ν)) = 0.

  The used approach mainly employs comparison principles with first-order dynamic equations and the Riccati-type substitution technique. The results are illustrated by three examples.