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

TUNÇ C., Ergoren H.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, vol.12, no.3, pp.687-694, 2010 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 3
  • Publication Date: 2010
  • Journal Name: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.687-694
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

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.