On singular solutions of implicit second-order ordinary differential equations

Bhupal M. L.

Hokkaido Mathematical Journal, cilt.32, sa.3, ss.623-641, 2003 (SCI-Expanded) identifier

  • 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.