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

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Copy For Citation

TUNÇ C., Ateş M.

DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013 (SCI-Expanded)

• 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 (SCI-EXPANDED), Scopus
• Van Yüzüncü Yıl University Affiliated: Yes

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.