Oscillation Criteria for Functional Dynamic Equations with Nonlinearities Given by Riemann-Stieltjes Integral

الملخص EN

We present new oscillation criteria for the second order nonlinear dynamic equation [r(t)ϕγ(xΔ(t))]Δ+q0(t)ϕγ(x(g0(t)))+∫abq(t,s)ϕα(s)(x(g(t,s)))Δζ(s)=0 under mild assumptions.

Our results generalize and improve some known results for oscillation of second order nonlinear dynamic equations.

Several examples are worked out to illustrate the main results.