Discontinuous first-order functional boundary value problems

In this paper we prove a new existence result for functional boundary value problems with first-order functional differential equations under weak conditions on the nonlinear part and monotonicity (but not continuity) with respect to the functional variable. Discontinuities with respect to the unkno...

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Veröffentlicht in:	Nonlinear analysis 2008-10, Vol.69 (7), p.2142-2149
Hauptverfasser:	Sestelo, Rubén Figueroa, Pouso, Rodrigo López
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary value problems Continuity Difference and functional equations, recurrence relations Differential equations Discontinuity Discontinuous differential equations Exact sciences and technology Finite differences and functional equations Functional differential equations Mathematical analysis Mathematics Nonlinearity Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Partial differential equations, boundary value problems Sciences and techniques of general use Solubility
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Zusammenfassung:	In this paper we prove a new existence result for functional boundary value problems with first-order functional differential equations under weak conditions on the nonlinear part and monotonicity (but not continuity) with respect to the functional variable. Discontinuities with respect to the unknown are allowed to occur over general classes of time-dependent sets which are assumed to satisfy a kind of unviability or solubility condition.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2007.07.051