ON A PSEUDO FUCIK SPECTRUM FOR STRONGLY NONLINEAR 2ND-ORDER ODES AND AN EXISTENCE RESULT

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dc.contributor.authorGARCIAHUIDOBRO, M
dc.contributor.authorMANASEVICH, R
dc.contributor.authorZANOLIN, F
dc.date.accessioned2024-01-10T13:15:44Z
dc.date.available2024-01-10T13:15:44Z
dc.date.issued1994
dc.description.abstractWe study here the existence of solutions to the nonlinear Dirichlet problem (P): (phi(u'))' + f(t, u) = q(t), a.e. for t is an element of [a, b], u(a)=u(b)=0, where phi is an increasing odd homeomorphism of R, f:[a, b]XR --> R satisfies the Caratheodory assumptions and q is an element of L(1)([a, b], R).
dc.description.abstractWith a view towards defining a pseudo Fucik spectrum (PFS) we study, using a time-mapping approach, the eigenvalue-like problem (phi(u'))' + A phi(u(+)) - B phi(u(-)) = 0, u(a) = 0 = u(b), where A > 0, B > 0.
dc.description.abstractWe show here that this PFS, which we denote by P, consists of a set of curves in (R(+))(2) resembling the classical Fucik spectrum, i.e., when phi(s) = s.
dc.description.abstractOur main existence result, which deals with nonresonance with respect to the PFS, can be roughly stated as follows: if for s > 0 sufficiently large and for almost every t is an element of [a, b], the pair (f(t, - s)/phi(- s>, f(t, s)/phi(s)) lies in a compact rectangle contained in an open component of (R(+))(2)\P which intersects the diagonal, then problem (P) has at least a solution.
dc.format.extent21 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/0377-0427(94)90358-1
dc.identifier.issn0377-0427
dc.identifier.urihttps://doi.org/10.1016/0377-0427(94)90358-1
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/78527
dc.identifier.wosidWOS:A1994QA70800015
dc.information.autorucMatemática;García-Huidobro M;S/I;60600
dc.issue.numero1-3
dc.language.isoen
dc.nota.accesoSin adjunto
dc.pagina.final239
dc.pagina.inicio219
dc.publisherELSEVIER SCIENCE BV
dc.revistaJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
dc.rightsregistro bibliográfico
dc.subjectNONRESONANCE
dc.subjectTIME MAPPING
dc.subjectPSEUDO-EIGENVALUE
dc.subjectPSEUDO FUCIK SPECTRUM
dc.subjectCONTINUATION LEMMA
dc.titleON A PSEUDO FUCIK SPECTRUM FOR STRONGLY NONLINEAR 2ND-ORDER ODES AND AN EXISTENCE RESULT
dc.typeartículo
dc.volumen52
sipa.codpersvinculados60600
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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