Consider the one-dimensional quasilinear impulsive boundary value problem involving the p-Laplace operator ⎧ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎩-(φ p (u)) = λω(t)f (u), 0 < t < 1,-u| t=t k = μI k (u(t k)), k = 1, 2,. .. , n, u | t=t k = 0, k = 1, 2,. .. , n, u (0) = 0, u(1) = 1 0 g(t)u(t) dt, where λ, μ > 0 are two positive parameters, φ p (s) is the p-Laplace operator, i.e., φ p (s) = |s| p-2 s, p > 1, ω(t) changes sign on [0, 1]. Several new results are obtained for the above quasilinear indefinite problem.
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