Two point boundary value problems for ordinary differential systems with generalized variable exponents operators

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dc.contributor.authorGarcia-Huidobro, Marta
dc.contributor.authorManasevich, Raul
dc.contributor.authorMawhin, Jean
dc.contributor.authorTanaka, Satoshi
dc.date.accessioned2025-01-20T16:04:23Z
dc.date.available2025-01-20T16:04:23Z
dc.date.issued2025
dc.description.abstractIn recent years an increasing interest in more general operators generated by Musielak-Orlicz functions is under development since they provided, in principle, a unified treatment deal with ordinary and partial differential equations with operators containing the p-Laplace operator, the phi-Laplace operator, operators with variable exponents and the double phase operators. These kind of consideration lead us in Garcia-Huidobro et al. (2024), to consider problems containing the operator (S(t, u ')) where ' = d/dt and look for period solutions systems of nonlinear systems of differential equations. In this paper we extend our approach to deal with systems of differential equations containing the operator (S(t, u ')) this time under Dirichlet, mixed and Neumann boundary conditions. As in Garcia-Huidobro et al. (2024) our approach is to work in C-1 spaces to obtain suitable abstract fixed points theorems from which several applications are obtained, including problems of Lienard and Hartman type.
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.nonrwa.2024.104196
dc.identifier.eissn1878-5719
dc.identifier.issn1468-1218
dc.identifier.urihttps://doi.org/10.1016/j.nonrwa.2024.104196
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/89731
dc.identifier.wosidWOS:001298958800001
dc.language.isoen
dc.revistaNonlinear analysis-real world applications
dc.rightsacceso restringido
dc.subjectNonlinear differential equations
dc.subjectp-Laplacian
dc.subjectDouble phase operators
dc.subjectGeneralized variable exponents operators
dc.subjectGeneralized Musielak-Orlicz functions
dc.subjectLeray Schauder degree
dc.titleTwo point boundary value problems for ordinary differential systems with generalized variable exponents operators
dc.typeartículo
dc.volumen81
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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