On the solvability of implicit functional equations with applications to discontinuous differential equations

Acta Mathematica Sinica, English Series

Volumn 22, Issue 1, 2006, Pages 223-232

  Heikkila S ^a  

^a UNIVERSITY OF OULU   (Finland)

Author keywords

Discontinuous nonlinearities; Functional equations; Implicit; Initial value problems

Indexed keywords

EID: 29144439713     PISSN: 14398516     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10114-005-0558-9     Document Type: Article

References (8)

1. Heikkilä, S.: Existence and comparison results for operator and differential equations in abstract space. J. Math. Anal. Appl., 274(2), 586-607 (2002)
2. Heikkils̈, S.: Existence results for operator equations in abstract spaces and an application. J. Math. Anal. Appl., 292, 262-273 (2004)
3. Heikkilä, S., Lakshmikantham, V.: Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations, Marcel Deccer, Inc., New York, Basel, Hong Kong, 1994
4. Lindenstraus, J., Tzafriri, L.: Classical Banach Spaces II, Function Spaces, Springer-Verlag, Berlin, 1979
5. Carl, S., Heikkilä, S.: Nonlinear Differential Equations in Ordered Spaces, Chapman & Hall/CRC, London, 2000
6. Birkhoff, G.: Lattice Theory, Amer. Math. Soc. Publ., Vol XXV, Providence, Rhode Island, 1973
7. Carl, S., Heikkilä, S.: Existence of solutions for discontinuous functional equations and elliptic boundary value problems. Electronic J. Differential Equations, 61, 1-10 (2002)
8. Heikkilä, S.: A method to solve discontinuous boundary value problems. Proc. 3rd World Congress of Nonlinear Analysts, Nonlinear Anal., 47(4), 2387-2394, 2001