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

الملخص EN

We establish some new oscillation criteria for nonlinear dynamic equation of the form (a(t)(b(t)(c(t)xΔ(t))Δ)Δ)Δ+q(t)f(x(σ(t)))=0 on an arbitrary time scale T with sup T=∞, where a(t),b(t),c(t) are positive rd-continuous functions.

An example illustrating the importance of our result is included.