On Boundedness of a Certain Non-linear Differential Equation of Third Order

TUNÇ C., Ergoren H.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, cilt.12, sa.3, ss.687-694, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 3
  • Basım Tarihi: 2010
  • Dergi Adı: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.687-694
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This paper presents sufficient conditions for all solutions as well as their derivatives up to second order to x"' + a(t)f(x')x '' + b(t, x, x') +c(t)g(x) = et, x, x', x '') to be bounded. What is more, it shows that all the solutions are in L-p[0,infinity) Under somewhat more restrictive conditions.