Publicación:
ASYMPTOTIC INTEGRATION OF A LINEAR FOURTH ORDER DIFFERENTIAL EQUATION OF POINCARÉ TYPE

dc.creatorANÍBAL CORONEL PÉREZ
dc.date2015
dc.date.accessioned2025-01-10T14:32:35Z
dc.date.available2025-01-10T14:32:35Z
dc.date.issued2015
dc.description.abstractTHIS ARTICLE DEALS WITH THE ASYMPTOTIC BEHAVIOR OF FOURTH ORDER DIFFERENTIAL EQUATION WHERE THE COEFFICIENTS ARE PERTURBATIONS OF LINEAR CONSTANT COEFFICIENT EQUATION. WE INTRODUCE A CHANGE OF VARIABLE AND DEDUCE THAT THE NEW VARIABLE SATISFIES A THIRD ORDER DIFFERENTIAL EQUATION OF RICCATI TYPE. WE ASSUME THREE HYPOTHESIS. THE FIRST IS THE FOLLOWING: ALL ROOTS OF THE CHARACTERISTIC POLYNOMIAL ASSOCIATED TO THE FOURTH ORDER LINEAR EQUATION HAS DISTINCT REAL PART. THE OTHER TWO HYPOTHESIS ARE RELATED WITH THE BEHAVIOR OF THE PERTURBATION FUNCTIONS. UNDER THIS GENERAL HYPOTHESIS WE OBTAIN FOUR MAIN RESULTS. THE FIRST TWO RESULTS ARE RELATED WITH THE APPLICATION OF FIXED POINT THEOREM TO PROVE THAT THE RICCATI EQUATION HAS A UNIQUE SOLUTION. THE NEXT RESULT CONCERNS WITH THE ASYMPTOTIC BEHAVIOR OF THE SOLUTIONS OF THE RICCATI EQUATION. THE FOURTH MAIN THEOREM IS INTRODUCED TO ESTABLISH THE EXISTENCE OF A FUNDAMENTAL SYSTEM OF SOLUTIONS AND TO PRECISE FORMULAS FOR THE ASYMPTOTIC BEHAVIOR OF THE LINEAR FOURTH ORDER DIFFERENTIAL EQUATION.
dc.formatapplication/pdf
dc.identifier.doi10.48550/arXiv.1410.3011
dc.identifier.issn1417-3875
dc.identifier.issn1417-3875
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/7886
dc.languagespa
dc.publisherElectronic Journal of Qualitative Theory of Differential Equations
dc.relation.uri10.48550/arXiv.1410.3011
dc.rightsPUBLICADA
dc.titleASYMPTOTIC INTEGRATION OF A LINEAR FOURTH ORDER DIFFERENTIAL EQUATION OF POINCARÉ TYPE
dc.title.alternativeINTEGRACIÓN ASINTÓTICA DE UNA ECUACIÓN DIFERENCIAL LINEAL DE CUARTO ORDEN DE TIPO POINCARÉ
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.SedeCHILLÁN
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