The dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations

被引：0
|
作者：
Sulkhan Mukhigulashvili
机构：
[1] Academy of Sciences of the Czech Republic,Mathematical Institute
[2] I. Chavchavadze State University,Faculty of physics and mathematics
来源：
Czechoslovak Mathematical Journal | 2013年 / 63卷
关键词：
higher order functional-differential equation; Dirichlet boundary value problem; strong singularity; Fredholm property; a priori boundedness principle; 34K06; 34K10;
D O I：
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学科分类号：
摘要：
The a priori boundedness principle is proved for the Dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations. Several sufficient conditions of solvability of the Dirichlet problem under consideration are derived from the a priori boundedness principle. The proof of the a priori boundedness principle is based on the 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 conjugate and right-focal boundary conditions.
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页码：235 / 263
页数：28
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