IJPAM: Volume 39, No. 4 (2007)
APPROXIMATION OF EXTREMAL SOLUTIONS
FOR FUNCTIONAL DIFFERENTIAL EQUATIONS
FOR FUNCTIONAL DIFFERENTIAL EQUATIONS
Agnieszka Dyki
Department of Differential Equations
Gdansk University of Technology
11/12 G. Narutowicz Str., Gdansk, 80-952, POLAND
e-mail: a_dyki@poczta.onet.pl
Department of Differential Equations
Gdansk University of Technology
11/12 G. Narutowicz Str., Gdansk, 80-952, POLAND
e-mail: a_dyki@poczta.onet.pl
Abstract.We discuss boundary value problems for first-order functional differential equations and formulate sufficient conditions under which there exist monotone sequences approximating extremal solutions of such problems. To obtain the results we apply the monotone iterative method.
Received: July 30, 2007
AMS Subject Classification: 34A45, 34B15
Key Words and Phrases: functional differential equations, monotone iterative method, lower and upper solutions, extremal solutions
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 39
Issue: 4
