Asymptotic Behavior of Nonoscillatory Solutions of Higher-order Integro-dynamic Equations
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چکیده
ASYMPTOTIC BEHAVIOR OF NONOSCILLATORY SOLUTIONS OF HIGHER-ORDER INTEGRO-DYNAMIC EQUATIONS Martin Bohner, Said Grace, and Nasrin Sultana Communicated by Alexander Domoshnitsky Abstract. In this paper, we establish some new criteria on the asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations on time scales.
منابع مشابه
Oscillatory behavior of integro-dynamic and integral equations on time scales
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 ...
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