Nonlinear fourth order boundary value problem

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YARDIMCI Ş., Ugurlu E.

BOUNDARY VALUE PROBLEMS, cilt.2014, ss.1-10, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2014
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1186/s13661-014-0189-0
  • Dergi Adı: BOUNDARY VALUE PROBLEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-10
  • Anahtar Kelimeler: nonlinear problem, fourth order problem, Banach fixed point theorem, Schauder fixed point theorem, SINGULAR DIFFERENTIAL EQUATIONS, INFINITE INTERVALS, TIME-SCALE, EXISTENCE, OPERATORS, SYSTEMS
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper we consider a nonlinear boundary value problem generated by a fourth order differential equation on the semi-infinite interval in which the lim-4 case holds for fourth order differential expression at infinity. Using the well-known Banach and Schauder fixed point theorems we prove the existence and uniqueness theorems for the nonlinear boundary value problem.