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Zbl 1110.34058
Mao, Weihua; Wan, Anhua
Oscillatory and asymptotic behavior of solutions for nonlinear impulsive delay differential equations. (English)
[J] Acta Math. Appl. Sin., Engl. Ser. 22, No. 3, 387-396 (2006). ISSN 0168-9673; ISSN 1618-3932/e

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.
[R. S. Dahiya (Ames)]

MSC 2000:: *34K45 Equations with impulses
34K11 Oscillation theory of functional-differential equations
34K25 Asymptotic theory of functional-differential equations

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