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Second-order functional differential equations with past, present and future dependence
Authors:Rubén Figueroa
Institution:Dep. de Análise Matemática, Universidade de Santiago de Compostela, Facultade de Matemáticas, 15782 Santiago de Compostela, Spain
Abstract:In this paper we obtain a result on existence of extremal quasisolutions and solutions for second-order functional differential equations with functional boundary conditions and past, present and future dependence. In order to do that, we develop a generalized monotone method in presence of lower and upper solutions. Some examples of application are provided too.
Keywords:Second-order differential equations  Functional differential equations  Deviated arguments
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