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1A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., Tbilisi 380093, Georgia
2Department of Mathematics, University of Ioannina, GR-451 10 Ioannina, Greece
Citation Information: Georgian Mathematical Journal. Volume 6, Issue 6, Pages 553–566, ISSN (Online) 1072-9176, ISSN (Print) 1072-947X, DOI: 10.1515/GMJ.1999.553, February 2010
Sufficient conditions for the nth order linear differential equation
𝑢(𝑛) (𝑡) + 𝑝(𝑡)𝑢(τ(𝑡)) = 0, 𝑛 ≥ 2,
to have Property 𝐴 or Property 𝐵 are established in both the delayed and the advanced cases. These conditions essentially improve many known results not only for differential equations with deviating arguments but for ordinary differential equations as well.
Key words and phrases.: Proper solution; oscillatory solution; property 𝐴; property 𝐵
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