Oscillatory behavior of integro-dynamic and integral equations on time scales
نویسندگان
چکیده
By making use of asymptotic properties of nonoscillatory solutions the oscillation behavior of solutions for the integro-dynamic equation x(t) = e(t) − ∫ t 0 k(t, s)f(s, x(s))∆s, t ≥ 0 and the integral equation x(t) = e(t) − ∫ t 0 k(t, s)f(s, x(s))∆s, t ≥ 0 on time-scales are investigated. Easily verifiable sufficient conditions are established for the oscillation of all solutions. The results are new for both continuous and discrete cases. The paper is concluded by an open problem.
منابع مشابه
Asymptotic Behavior of Nonoscillatory Solutions of Higher-order Integro-dynamic Equations
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عنوان ژورنال:
- Appl. Math. Lett.
دوره 28 شماره
صفحات -
تاریخ انتشار 2014