Nonlinear Multipoint Boundary Value Problems for Second Order Differential Equations

Canadian mathematical bulletin

Tadeusz Jankowski¹ 

[1] Department of Differential Equations, Gdansk University of Technology, 80–952 Gdańsk, Poland

关键词: second order differential equations;    deviated arguments;    nonlinear boundary conditions;    extremal solutions;    quasi-solutions;    unique solution;   

DOI  :  10.4153/CMB-2010-045-4

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

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.

【 授权许可】

Unknown