Open Access

On delay differential equations with nonlinear boundary conditions

Boundary Value Problems20052005:713031

https://doi.org/10.1155/BVP.2005.201

Received: 21 July 2004

Published: 12 June 2005

Abstract

The monotone iterative method is used to obtain sufficient conditions which guarantee that a delay differential equation with a nonlinear boundary condition has quasisolutions, extremal solutions, or a unique solution. Such results are obtained using techniques of weakly coupled lower and upper solutions or lower and upper solutions. Corresponding results are also obtained for such problems with more delayed arguments. Some new interesting results are also formulated for delay differential inequalities.

Authors’ Affiliations

(1)
Department of Differential Equations, Gdańsk University of Technology

Copyright

© Jankowski 2005