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...

Descripción completa

Detalles Bibliográficos
Autor principal: Amster, Pablo Gustavo
Publicado: 2001
Materias:
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2001_n_pXCXLV_Amster
http://hdl.handle.net/20.500.12110/paper_10726691_v2001_n_pXCXLV_Amster
Aporte de:
id paper:paper_10726691_v2001_n_pXCXLV_Amster
record_format dspace
spelling paper:paper_10726691_v2001_n_pXCXLV_Amster2023-06-08T16:04:50Z A second order ODE with a nonlinear fina condition Amster, Pablo Gustavo 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. 2001 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2001_n_pXCXLV_Amster 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, Pablo Gustavo
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.
author Amster, Pablo Gustavo
author_facet Amster, Pablo Gustavo
author_sort Amster, Pablo Gustavo
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
publishDate 2001
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2001_n_pXCXLV_Amster
http://hdl.handle.net/20.500.12110/paper_10726691_v2001_n_pXCXLV_Amster
work_keys_str_mv AT amsterpablogustavo asecondorderodewithanonlinearfinacondition
AT amsterpablogustavo secondorderodewithanonlinearfinacondition
_version_ 1768544050348032000