A Dirichelet-Neumann m-point BVP with a p-Laplacian-like operator

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dc.contributor.authorGarcia Huidobro, M
dc.contributor.authorGupta, CP
dc.contributor.authorMandsevich, R
dc.date.accessioned2024-01-10T12:04:07Z
dc.date.available2024-01-10T12:04:07Z
dc.date.issued2005
dc.description.abstractLet phi, theta be odd increasing homeomorphisms from R onto R satisfying phi(0) = theta(0) = 0, and let f : [a, b] x R x R -> R be a function satisfying Caratheodory's conditions. Let alpha(i) is an element of R, xi(i) is an element of (a, b), i = 1, ..., m-2, a < xi(1) < xi(2) <... < xi(m -2) < b be given. We are interested in the problem of existence of solutions for the m-point boundary value problem:
dc.description.abstract[GRAPHICS]
dc.description.abstractin the resonance and non-resonance cases. We say that this problem is at resonance if the associated problem
dc.description.abstract[GRAPHICS]
dc.description.abstracthas a non-trivial solutions. This is the case if and only if Sigma(m-1)(i=1) alpha(i) = 1. Our results use topological degree methods. Interestingly enough in the non-resonance case, i.e., when Sigma(m-2)(i=1) alpha(i) not equal 1 the sign of degree for the relevant operator depends on whether Sigma(m-2)(i=1) alpha(i) > 1 or Sigma(m-2)(i=1) alpha(i) < 1. (c) 2005 Elsevier Ltd. All rights reserved.
dc.fechaingreso.objetodigital03-04-2024
dc.format.extent23 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.na.2005.04.020
dc.identifier.eissn1873-5215
dc.identifier.issn0362-546X
dc.identifier.urihttps://doi.org/10.1016/j.na.2005.04.020
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/75693
dc.identifier.wosidWOS:000230902700009
dc.information.autorucMatemática;García-Huidobro M;S/I;60600
dc.issue.numero6
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final1089
dc.pagina.inicio1067
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.revistaNONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
dc.rightsacceso restringido
dc.subjectp-Laplacian
dc.subjectboundary value problem
dc.subjectDirichelet-Neumann
dc.subjectresonance
dc.subjectnon-resonance
dc.subjectodd increasing homeomorphism from R onto R
dc.subjectdeformation lemma
dc.subjectLeray-Schauder degree
dc.subjectBrouwer degree
dc.subjectBOUNDARY-VALUE PROBLEM
dc.subjectORDINARY DIFFERENTIAL-EQUATIONS
dc.subjectMULTIPLE POSITIVE SOLUTIONS
dc.subjectSTURM-LIOUVILLE OPERATOR
dc.subject2ND-ORDER
dc.subjectSOLVABILITY
dc.subjectRESONANCE
dc.subjectKIND
dc.titleA Dirichelet-Neumann m-point BVP with a p-Laplacian-like operator
dc.typeartículo
dc.volumen62
sipa.codpersvinculados60600
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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