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Eigenvalue problems of impulsive differential equations governed by the one-dimensional p-Laplacian operator

dc.creatorBouabdallah, Mohamed
dc.creatorChakrone, Omar
dc.creatorChehabi, Mohammed
dc.date2022-01-28
dc.date.accessioned2022-08-30T15:59:39Z
dc.date.available2022-08-30T15:59:39Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4657
dc.identifier10.22199/issn.0717-6279-4657
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/207088
dc.descriptionIn 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].en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4657/3989
dc.rightsCopyright (c) 2022 Mohamed Bouabdallah, Omar Chakrone, Mohammed Chehabien-US
dc.rightshttps://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 41 No. 1 (2022); 217-247en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 41 Núm. 1 (2022); 217-247es-ES
dc.source0717-6279
dc.source10.22199/issn.0717-6279-2022-01
dc.subjectEigenvalueen-US
dc.subjectEigenfunctionen-US
dc.subjectImpulsive Differential Equationen-US
dc.subjectp-Laplacianen-US
dc.subjectLusternik-Schnirelman principleen-US
dc.subject35R10en-US
dc.subject35A15en-US
dc.subject35P30en-US
dc.titleEigenvalue problems of impulsive differential equations governed by the one-dimensional p-Laplacian operatoren-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US


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