Study of solutions to some functional differential equations with piecewise constant arguments

We provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments. The nonlocal boundary conditions include terms of the state function an...

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Detalhes bibliográficos
Autores: Nieto Roig, Juan José, Rodríguez López, Rosana
Formato: artículo
Fecha de publicación:2012
País:España
Recursos:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/21476
Acesso em linha:http://hdl.handle.net/10347/21476
Access Level:acceso abierto
Descrição
Resumo:We provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments. The nonlocal boundary conditions include terms of the state function and the derivative of the state function. A similar nonhomogeneous problem is also discussed