Boundedness of Solutions to Fourth Order Differential Equations with Oscillatory Restoring and Forcing Terms
نویسنده
چکیده
This article concerns the fourth order differential equation x + ax′′′ + 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 solution and its derivatives up to order three are bounded.
منابع مشابه
Boundedness of Solutions to Fourth-order Differential Equation with Oscillatory Restoring and Forcing Terms
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.
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تاریخ انتشار 2006