Unbounded solutions in asymmetric oscillations
In this paper, the existence of unbounded solutions for the following nonlinear asymmetric oscillator: x" + alphax(+) - betax(-) = f(t) is discussed, where alpha,beta are positive constants satisfying 1/rootalpha + 1/rootbeta = 2/omega, for some omega is an element of R+/Q, f(t) is 2pi-periodic and bounded, x(+/-) = max{+/-x,0}. (C) 2004 Elsevier Ltd. All rights reserved.
unbounded solutions asymmetric oscillator linear equation