On singular solutions of implicit second-order ordinary differential equations

Bhupal M. L.

Hokkaido Mathematical Journal, vol.32, no.3, pp.623-641, 2003 (SCI-Expanded) identifier

  • 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.