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Oscillatory and asymptotic behavior of solutions for nonlinear impulsive delay differential equations. (English) Zbl 1110.34058
The oscillatory and asymptotic behavior of bounded solutions for the third-order nonlinear differential equation $$x'''(t)=f(t,x(t-\tau))$$ are studied. Criteria for all solutions to be oscillatory or be asymptotic to the piecewise continuous functions are established. Few examples are also given to illustrate the effectiveness of these criteria.

##### MSC:
 34K45 Functional-differential equations with impulses 34K11 Oscillation theory of functional-differential equations 34K25 Asymptotic theory of functional-differential equations
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##### References:
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