Using functions from some function classes and a generalized Riccati technique, we establish
Kamenev-type oscillation criteria for second-order nonlinear dynamic equations on time scales of the
form (p(t)ψ(x(t))k∘xΔ(t))Δ+f(t,x(σ(t)))=0. Two examples are included to show the significance of the results

Qi-Ru Wang

Yang-Cong Qiu

Discrete Dynamics in Nature and Society

Using functions in some function classes and a generalized Riccati technique, we establish interval oscillation criteria for second-order nonlinear dynamic equations on time scales of the form(p(t)ψ(x(t))xΔ(t))Δ+f(t,x(σ(t)))=0. The obtained interval oscillation criteria can be applied to equations with a forcing term. An example is included to show the significance of the results.</jats:p

Crossref

Interval Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales

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