Abstract view
|
Nonlinear Multipoint Boundary Value Problems for Second Order Differential Equations
|
|
Published:2010-05-11
Printed: Sep 2010
Tadeusz Jankowski,
Department of Differential Equations, Gdansk University of Technology, 80–952 Gdańsk, Poland
Abstract
In this paper we shall discuss nonlinear multipoint boundary value problems for second order differential equations when deviating arguments depend on the unknown solution. Sufficient conditions under which such problems have extremal and quasi-solutions are given. The problem of when a unique solution exists is also investigated. To obtain existence results, a monotone iterative technique is used. Two examples are added to verify theoretical results.
| Keywords: |
second order differential equations, deviated arguments, nonlinear boundary conditions, extremal solutions, quasi-solutions, unique solution
second order differential equations, deviated arguments, nonlinear boundary conditions, extremal solutions, quasi-solutions, unique solution
|
