A note on a system with radiation boundary conditions with non-symmetric linearisation

We prove the existence of multiple solutions for a second order ODE system under radiation boundary conditions. The proof is based on the degree computation of I- K, where K is an appropriate fixed point operator. Under a suitable asymptotic Hartman-like assumption for the nonlinearity, we shall pro...

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Detalles Bibliográficos
Publicado: 2018
Materias:
Multiplicity
Radiation boundary conditions
Second order ODE systems
Topological degree
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00269255_v186_n4_p565_Amster
http://hdl.handle.net/20.500.12110/paper_00269255_v186_n4_p565_Amster
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00269255_v186_n4_p565_Amster
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spelling paper:paper_00269255_v186_n4_p565_Amster2023-06-08T14:54:05Z A note on a system with radiation boundary conditions with non-symmetric linearisation Multiplicity Radiation boundary conditions Second order ODE systems Topological degree We prove the existence of multiple solutions for a second order ODE system under radiation boundary conditions. The proof is based on the degree computation of I- K, where K is an appropriate fixed point operator. Under a suitable asymptotic Hartman-like assumption for the nonlinearity, we shall prove that the degree is 1 over large balls. Moreover, studying the interaction between the linearised system and the spectrum of the associated linear operator, we obtain a condition under which the degree is - 1 over small balls. We thus generalize a result obtained in a previous work for the case in which the linearisation is symmetric. © 2017, Springer-Verlag GmbH Austria. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00269255_v186_n4_p565_Amster http://hdl.handle.net/20.500.12110/paper_00269255_v186_n4_p565_Amster
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Multiplicity
Radiation boundary conditions
Second order ODE systems
Topological degree
spellingShingle Multiplicity
Radiation boundary conditions
Second order ODE systems
Topological degree
A note on a system with radiation boundary conditions with non-symmetric linearisation
topic_facet Multiplicity
Radiation boundary conditions
Second order ODE systems
Topological degree
description We prove the existence of multiple solutions for a second order ODE system under radiation boundary conditions. The proof is based on the degree computation of I- K, where K is an appropriate fixed point operator. Under a suitable asymptotic Hartman-like assumption for the nonlinearity, we shall prove that the degree is 1 over large balls. Moreover, studying the interaction between the linearised system and the spectrum of the associated linear operator, we obtain a condition under which the degree is - 1 over small balls. We thus generalize a result obtained in a previous work for the case in which the linearisation is symmetric. © 2017, Springer-Verlag GmbH Austria.
title A note on a system with radiation boundary conditions with non-symmetric linearisation
title_short A note on a system with radiation boundary conditions with non-symmetric linearisation
title_full A note on a system with radiation boundary conditions with non-symmetric linearisation
title_fullStr A note on a system with radiation boundary conditions with non-symmetric linearisation
title_full_unstemmed A note on a system with radiation boundary conditions with non-symmetric linearisation
title_sort note on a system with radiation boundary conditions with non-symmetric linearisation
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00269255_v186_n4_p565_Amster
http://hdl.handle.net/20.500.12110/paper_00269255_v186_n4_p565_Amster
_version_ 1768542116021010432

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