The focal boundary value problem for strongly singular higher-order nonlinear functional-differential equations

Boundary value problems

Bedich Pa¹  Sulkhan Mukhigulashvili² 

[1] Faculty of Business and Management, Brno University of Technology, Brno, Czech Republic;Mathematical Institute, Academy of Sciences of the Czech Republic, Brno, Czech Republic

关键词: higher order nonlinear functional-differential equations;    two-point right-focal boundary value problem;    strong singularity;    Fredholm property;    34B15;    34K10;   

DOI  :  10.1186/s13661-014-0277-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The a priori boundedness principle is proved for the two-point right-focal boundary value problems for strongly singular higher-order nonlinear functional-differential equations. Several sufficient conditions of solvability of the two-point right-focal problem under consideration are derived from the a priori boundedness principle. The proof of the a priori boundedness principle is based on Agarwal-Kiguradze type theorems, which guarantee the existence of the Fredholm property for strongly singular higher-order linear differential equations with argument deviations under the two-point right-focal boundary conditions.

【 授权许可】

CC BY