On delay differential equations with nonlinear boundary conditions. (12th June 2005)

• Record Type: Journal Article
• Authors: Jankowski, Tadeusz
• Is Part Of: Boundary value problems. Volume 2(2005)
• Page Start: 201
• Page End: 214
• Publication Date: 2005-06-12
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/BVP.2005.201
• Languages: English
• ISSNs: 1687-2762

Abstract

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.