Boundedness of solutions to fourth order differential equations with oscillatory restoring and forcing terms
Ogundare, Babatunde S.
Texas State University-San Marcos, Department of Mathematics
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.
Fourth order differential equation, Bounded solution, Oscillatory solution, Restoring and forcing terms
Ogundare, B. S. (2006). Boundedness of solutions to fourth order differential equations with oscillatory restoring and forcing terms. <i>Electronic Journal of Differential Equations, 2006</i>(06), pp. 1-6.