An m-point boundary value problem of Neumann type for a p-Laplacian like operator

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dc.contributor.authorGarcia Huidobro, M
dc.contributor.authorGupta, CP
dc.contributor.authorManasevich, R
dc.date.accessioned2024-01-10T13:11:07Z
dc.date.available2024-01-10T13:11:07Z
dc.date.issued2004
dc.description.abstractLet phi and theta be two odd increasing homeomorphism from R onto R with phi(0) = 0, theta(0) = 0, and let f : [0, 1] x R x R --> R be a function satisfying Caratheodory's conditions. Let a(i)is an element ofR, zeta(i) is an element of(0, 1), i = 1 ,2, . . . ,m - 2, 0 < zeta(1) < xi(2) < ... <xi(m-2) < 1 be given. We are interested in the problem of existence of solutions for the m-point boundary value problem:
dc.description.abstract(phi(x'))'=f(t'x'x')' t is an element of (0,1),
dc.description.abstractx'(0) = 0, theta(x'.(1)) = Sigma(i=1)(m-2) a(i)theta(x'(zeta(i))).
dc.description.abstractWe note that this non-linear m-point boundary value problem is always at resonance since the associated m-point boundary value problem
dc.description.abstract(phi(x'))' = 0, t is an element of (0, 1),
dc.description.abstractx',(0) = 0, theta(x'(1)) = Sigma(i=1)(m-2)a(i)theta(x'(xi(i)))
dc.description.abstracthas non-trivial solutions x(t) = rho, to rho is an element of R (an arbitrary constant). Our results are obtained by a suitable homotopy, Leray-Schauder degree properties, and a priori bounds. (C) 2003 Elsevier Ltd. All rights reserved.
dc.fechaingreso.objetodigital03-04-2024
dc.format.extent19 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.na.2003.11.003
dc.identifier.eissn1873-5215
dc.identifier.issn0362-546X
dc.identifier.urihttps://doi.org/10.1016/j.na.2003.11.003
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/77998
dc.identifier.wosidWOS:000220127200008
dc.information.autorucMatemática;García-Huidobro M;S/I;60600
dc.issue.numero7
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final1089
dc.pagina.inicio1071
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.revistaNONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
dc.rightsacceso restringido
dc.subjectSOLVABILITY
dc.titleAn m-point boundary value problem of Neumann type for a p-Laplacian like operator
dc.typeartículo
dc.volumen56
sipa.codpersvinculados60600
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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