descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2001 English Publisher:Walter de Gruyter GmbHJournal:gmj, volume 8, pages 669-681 (issn: 1072-947X, eissn: 1572-9176,

Authors: Bartušek, M.; Osička, J.;

doi: 10.1515/gmj.2001.669

On the Existence of Singular Solutions

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Abstract

Abstract Sufficient conditions are given, under which the equation 𝑦(𝑛) = ƒ(𝑡, 𝑦, 𝑦′, . . . , 𝑦(𝑙))𝑔(𝑦(𝑛 – 1)) has a singular solution 𝑦[𝑇, τ) → 𝐑, τ < ∞ satisfying , 𝑖 = 0, 1, . . . , 𝑙 and for 𝑗 = 𝑙 + 1, . . . , 𝑛 – 1 where 𝑙 ∈ {0, 1, . . . , 𝑛 – 2}.

Related Organizations

Masaryk University
Czech Republic

Keywords

Emden-Fowler equation, \(n\)th-order differential equation, Growth and boundedness of solutions to ordinary differential equations, singular solution

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