On singular solutions of implicit second-order ordinary differential equations
Hokkaido Mathematical Journal, cilt.32, sa.3, ss.623-641, 2003 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 32 Sayı: 3
- Basım Tarihi: 2003
- Doi Numarası: 10.14492/hokmj/1350659159
- Dergi Adı: Hokkaido Mathematical Journal
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.623-641
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
In this note we discuss the notion of singular solutions of completely integrable implicit second-0rder ordinary differential equations. After restricting the class of admissible equations we give conditions under which singular solutions occur in 1-parameter families and as isolated objects. © 2003 by the University of Notre Dame. All rights reserved.