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Some considerations on functional differential equations of advanced type
Author(s) -
Nieto Juan J.,
RodríguezLöpez Rosana
Publication year - 2010
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200710093
Subject(s) - mathematics , uniqueness , nonlinear system , differential equation , type (biology) , boundary value problem , order (exchange) , variable (mathematics) , mathematical analysis , value (mathematics) , physics , statistics , ecology , finance , quantum mechanics , economics , biology
We prove some comparison results for the periodic boundary value problem related to a first‐order functional differential equation of advanced type. These maximum principles provide uniqueness results for nonlinear differential equations with advanced arguments. By a change of variable, we deduce analogous results for fuctional differential equations with delayed arguments (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)