SIGN-CHANGING SOLUTIONS FOR A CLASS OF DAMPED VIBRATION PROBLEMS WITH IMPULSIVE EFFECTS

In this paper, some sufficient conditions are obtained for the existence and multiplicity of sign-changing solutions for the damped vibration problem with impulsive effects [Graphics] where t(0) = 0 < t(1) < t(2) < ...< t(p) < t(p+1) = T, g is an element of L-1(0, T; R), I-j = R , j = 1, 2,...,p are continuous, f : [0, T] x R -> R is a Caratheodory function with subcritical growth condition: (A) |f (t, u)| <= C(1 + |u|(s-1)) for all t is an element of[0, T], u is an element of R, s is an element of[2, + infinity). The sign-changing solutions are sought by means of some sign-changing critical point theorems and two examples are presented to illustrate the feasibility and effectiveness of our results.