Open AccessEigenvalue problem of an impulsive differential equation governed by the one-dimensional p-Laplacian operator
Author(s) -
Mohamed Bouabdallah,
Omar Chakrone,
Mohammed Chehabi
Publication year - 2022
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.226
H-Index - 12
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-4657
Subject(s) - eigenvalues and eigenvectors , eigenfunction , mathematics , p laplacian , laplace operator , monotonic function , mathematical analysis , operator (biology) , sequence (biology) , differential operator , boundary value problem , nonlinear system , pure mathematics , physics , quantum mechanics , chemistry , genetics , repressor , biology , transcription factor , gene , biochemistry
In this paper we study a nonlinear boundary eigenvalue problema governed by the one-dimensional p-Laplacian operator with impulse, we give some properties of the first eigenvalue λ1 and we prove the existence of eigenvalues sequence {λn}n∈N∗ by using the Lusternik-Schnirelman principle, as well as by the characterization of the sequence of eigenvalues, we discuss the strict monotonicity of the first eigenvalue and we prove that the eigenfunction corresponding to second eigenvalue λ2 changes sign only once on [0, 1].