Boundedness of Solutions to Fourth-order Differential Equation with Oscillatory Restoring and Forcing Terms
نویسنده
چکیده
This paper concerns the fourth order differential equation x′′′′ + ax′′′ + f(x′′) + 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 solution and its derivatives up to order three are bounded.
منابع مشابه
Boundedness of Solutions to Fourth Order Differential Equations with Oscillatory Restoring and Forcing Terms
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تاریخ انتشار 2007