Eigenvalue problem of an impulsive differential equation governed by the one-dimensional p-Laplacian operator

In this paper we study a nonlinear boundary eigenvalue problema governed by the one-dimensional p-Laplacian operator with impulse, give some properties of first λ1 and prove existence eigenvalues sequence {λn}n∈N∗ using Lusternik-Schnirelman principle, as well characterization eigenvalues, discuss strict monotonicity that eigenfunction corresponding to second λ2 changes sign only once on [0, 1].