On singular solutions of implicit second-order ordinary differential equations
Hokkaido Mathematical Journal, vol.32, no.3, pp.623-641, 2003 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 32 Issue: 3
- Publication Date: 2003
- Doi Number: 10.14492/hokmj/1350659159
- Journal Name: Hokkaido Mathematical Journal
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Page Numbers: pp.623-641
- Middle East Technical University Affiliated: Yes
Abstract
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.