A Note on Retarded Ouyang Integral Inequalities
نویسندگان
چکیده
In this note, we generalize two retarded Ouyang integral inequalities. One of these inequalities says: under suitable assumptions of functions w,α, h, f, g and p on [0,∞), if w(t) ≤ h(t) + 2 ∫ α(t) 0 { f(s)w(s) [ w(s) + ∫ s 0 g(r)w(r)dr ] + p(s)w(s) } ds, then w(t) ≤ [ h(t) + ∫ α(t) 0 p(s)ds ] exp {∫ α(t) 0 [ f(s) + (∫ s 0 g(r)dr ) ds ]} , t ≥ 0. AMS Subject Classifications: 26D15.
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