Monotone method for first-order functional differential equations

✍ Scribed by J.J. Nieto; R. Rodríguez-López

• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 594 KB
• Volume: 52
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2006.01.012

✦ Synopsis

We study periodic boundary value problems relative to a general class of first-order functional differential equations. For this class of problems, we develop the monotone iterative technique. Our formulation is very general, including delay differential equations, functional differential equations with maxima and integro-differential equations, but the case where the operator defining the functional dependence is not necessarily Lipschitzian is also considered. (~) 2006 Elsevier Ltd. All rights reserved. Keywords--Functional differential equations, Periodic boundary value problems, Comparison results, Upper and lower solutions, Monotone method.