Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations

Acta Mathematica Sinica, English Series

Volumn 23, Issue 12, 2007, Pages 2205-2212

  Nieto, Juan J ^a   Rodríguez López, Rosana ^a  

^a UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

Author keywords

First order differential equation; Fixed point; Lower and upper solutions; Partially ordered set

Indexed keywords

EID: 36448985642     PISSN: 14398516     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10114-005-0769-0     Document Type: Article

References (8)

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4. Cousot, P., Cousot, R.: Constructive versions of Tarski's fixed point theorems. Pacific J. Math., 82, 43-57 (1979)
5. Zeidler, E.: Nonlinear functional analysis and its applications, Vol I: Fixed-Point Theorems, Springer-Verlag, New York, 1986
6. Amann, H.: Order structures and fixed points, Bochum: Mimeographed lecture notes, Ruhr-Universität, 1977
7. Heikkilä, S., Lakshmikantham, V.: Monotone iterative techniques for discontinuous nonlinear differential equations, Marcel Dekker, Inc., New York, 1994
8. Ladde, G. S., Lakshmikantham, V., Vatsala, A. S.: Monotone iterative techniques for nonlinear differential equations, Pitman, Boston, 1985