Oscillation Criteria for Functional Dynamic Equations with Nonlinearities Given by Riemann-Stieltjes Integral
Keyword(s):
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)=0under 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.
2013 ◽
Vol 2013
◽
pp. 1-12
◽
2008 ◽
Vol 14
(10-11)
◽
pp. 997-1009
◽
Keyword(s):
2003 ◽
Vol 67
(03)
◽
pp. 701-714
◽
Keyword(s):
2013 ◽
Vol 33
(4)
◽
pp. 975-988
◽
Keyword(s):
2010 ◽
Vol 2010
◽
pp. 1-15
◽