Boundedness of Solutions to Differential Equations of Fourth Order with Oscillatory Restoring and Forcing Terms


TUNÇ C., Ateş M.

DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2013
  • Doi Number: 10.1155/2013/758796
  • Journal Name: DISCRETE DYNAMICS IN NATURE AND SOCIETY
  • Journal Indexes: Science Citation Index Expanded, Scopus

Abstract

This paper deals with the boundedness of solutions to a nonlinear differential equation of fourth order. Using the Cauchy formula for the particular solution of nonhomogeneous differential equations with constant coefficients, we prove that the solution and its derivatives up to order three are bounded. Copyright (C) 2013 C. Tunc, and M. Ates.