A second order ODE with a nonlinear fina condition

We study a semilinear second-order ordinary differential equation with initial condition it(0) = UQ. We prove the existence of solutions satisfying a nonlinear final condition u(T) = /i'(it(T)), under a certain growth condition. Also we state conditions ensuring that any solution with Cauchy da...

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Detalles Bibliográficos
Autores principales: Amster, P., Marian, M.C.
Formato: JOUR
Materias:
Fixed point methods
Nonlinear boundary-value problems
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10726691_v2001_n_pXCXLV_Amster
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_10726691_v2001_n_pXCXLV_Amster
record_format dspace
spelling todo:paper_10726691_v2001_n_pXCXLV_Amster2023-10-03T16:02:45Z A second order ODE with a nonlinear fina condition Amster, P. Marian, M.C. Fixed point methods Nonlinear boundary-value problems We study a semilinear second-order ordinary differential equation with initial condition it(0) = UQ. We prove the existence of solutions satisfying a nonlinear final condition u(T) = /i'(it(T)), under a certain growth condition. Also we state conditions ensuring that any solution with Cauchy data u(0) = UQ, u (0) = VQ is defined on the whole interval [0, TJ. ©2001 Southwest Texas State University. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10726691_v2001_n_pXCXLV_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 Fixed point methods
Nonlinear boundary-value problems
spellingShingle Fixed point methods
Nonlinear boundary-value problems
Amster, P.
Marian, M.C.
A second order ODE with a nonlinear fina condition
topic_facet Fixed point methods
Nonlinear boundary-value problems
description We study a semilinear second-order ordinary differential equation with initial condition it(0) = UQ. We prove the existence of solutions satisfying a nonlinear final condition u(T) = /i'(it(T)), under a certain growth condition. Also we state conditions ensuring that any solution with Cauchy data u(0) = UQ, u (0) = VQ is defined on the whole interval [0, TJ. ©2001 Southwest Texas State University.
format JOUR
author Amster, P.
Marian, M.C.
author_facet Amster, P.
Marian, M.C.
author_sort Amster, P.
title A second order ODE with a nonlinear fina condition
title_short A second order ODE with a nonlinear fina condition
title_full A second order ODE with a nonlinear fina condition
title_fullStr A second order ODE with a nonlinear fina condition
title_full_unstemmed A second order ODE with a nonlinear fina condition
title_sort second order ode with a nonlinear fina condition
url http://hdl.handle.net/20.500.12110/paper_10726691_v2001_n_pXCXLV_Amster
work_keys_str_mv AT amsterp asecondorderodewithanonlinearfinacondition
AT marianmc asecondorderodewithanonlinearfinacondition
AT amsterp secondorderodewithanonlinearfinacondition
AT marianmc secondorderodewithanonlinearfinacondition
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