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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todo:paper_00269255_v186_n4_p565_Amster2023-10-03T14:37:24Z A note on a system with radiation boundary conditions with non-symmetric linearisation Amster, P. Kuna, M.P. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Amster, P. Kuna, M.P. 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. |
| format |
JOUR |
| author |
Amster, P. Kuna, M.P. |
| author_facet |
Amster, P. Kuna, M.P. |
| author_sort |
Amster, P. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_00269255_v186_n4_p565_Amster |
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AT amsterp anoteonasystemwithradiationboundaryconditionswithnonsymmetriclinearisation AT kunamp anoteonasystemwithradiationboundaryconditionswithnonsymmetriclinearisation AT amsterp noteonasystemwithradiationboundaryconditionswithnonsymmetriclinearisation AT kunamp noteonasystemwithradiationboundaryconditionswithnonsymmetriclinearisation |
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1782025207006887936 |