Second-order functional differential equations with past, present and future dependence

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 an...

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Veröffentlicht in:	Applied mathematics and computation 2011-05, Vol.217 (18), p.7448-7454
1. Verfasser:	Figueroa, Rubén
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Computation Deviated arguments Difference and functional equations, recurrence relations Differential equations Exact sciences and technology Finite differences and functional equations Functional differential equations Mathematical analysis Mathematical models Mathematics Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Sciences and techniques of general use Second-order differential equations
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Zusammenfassung:	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.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2011.02.041