Boundedness of solutions to fourth order differential equations with oscillatory restoring and forcing terms
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This article concerns the fourth order differential equation
x(iv) + ⍺x‴ + bx″ + g(x′) + h(x) = p(t).
Using the Cauchy formula for the particular solution of non-homogeneous linear differential equations with constant coefficients, we prove that the solutions and its derivatives up to order three are bounded.
CitationOgundare, B. S. (2006). Boundedness of solutions to fourth order differential equations with oscillatory restoring and forcing terms. Electronic Journal of Differential Equations, 2006(06), pp. 1-6.
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