Publicación:
L-P-SOLUTIONS OF A NONLINEAR THIRD ORDER DIFFERENTIAL EQUATION AND THE POINCARE-PERRON PROBLEM

Vista sencilla de ítem
dc.creatorANÍBAL CORONEL PÉREZ
dc.creatorLUIS ALBERTO FRIZ ROA
dc.date2019
dc.date.accessioned2025-01-10T15:11:51Z
dc.date.available2025-01-10T15:11:51Z
dc.date.issued2019
dc.description.abstractIN THIS PAPER WE PROVE THE WELL-POSEDNESS AND WE STUDY THE ASYMPTOTIC BEHAVIOR OF NONOSCILLATORY LP-SOLUTIONS FOR A THIRD ORDER NONLINEAR SCALAR DIFFERENTIAL EQUATION. THE EQUATION CONSISTS OF TWO PARTS: A LINEAR THIRD ORDER WITH CONSTANT COEFFICIENTS PART AND A NONLINEAR PART REPRESENTED BY A POLYNOMIAL OF FOURTH ORDER IN THREE VARIABLES WITH VARIABLE COEFFICIENTS. THE RESULTS ARE OBTAINED ASSUMING THREE HYPOTHESES: (1) THE CHARACTERISTIC POLYNOMIAL ASSOCIATED WITH THE LINEAR PART HAS SIMPLE AND REAL ROOTS, (2) THE COEFFICIENTS OF THE POLYNOMIAL SATISFY ASYMPTOTIC INTEGRAL SMALLNESS CONDITIONS, AND (3) THE POLYNOMIAL COEFFICIENTS ARE IN LP([T0, ?[). THESE RESULTS ARE APPLIED TO STUDY A FOURTH ORDER LINEAR DIFFERENTIAL EQUATION OF POINCARÉ TYPE AND A FOURTH ORDER LINEAR DIFFERENTIAL EQUATION WITH UNBOUNDED COEFFICIENTS. MOREOVER, WE GIVE SOME EXAMPLES WHERE THE CLASSICAL THEOREMS CANNOT BE APPLIED.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s11784-018-0641-3
dc.identifier.issn1661-7746
dc.identifier.issn1661-7738
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/10874
dc.languagespa
dc.publisherJournal of Fixed Point Theory and Applications
dc.relation.uri10.1007/s11784-018-0641-3
dc.rightsPUBLICADA
dc.subjectScalar method
dc.subjectPoincaré - Perron problem
dc.subjectAsymptotic behavior
dc.titleL-P-SOLUTIONS OF A NONLINEAR THIRD ORDER DIFFERENTIAL EQUATION AND THE POINCARE-PERRON PROBLEM
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.SedeCHILLÁN
ubb.SedeCHILLÁN
Archivos
Colecciones
Artículos científicos