Existence of solutions for functional boundary value problems at resonance on the half-line

被引：0
|
作者：
Bingzhi Sun
Weihua Jiang
机构：
[1] China University of Mining and Technology,Department of Mathematics
[2] Hebei University of Science and Technology,College of Sciences
来源：
Boundary Value Problems | / 2020卷
关键词：
Functional boundary conditions; Mawhin’s continuation theorem; Fredholm operator; Resonance; Half-line;
D O I：
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摘要：
By defining the Banach spaces endowed with the appropriate norm, constructing a suitable projection scheme, and using the coincidence degree theory due to Mawhin, we study the existence of solutions for functional boundary value problems at resonance on the half-line with dimKerL=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\operatorname{dim}\operatorname{Ker}L = 1$\end{document}. And an example is given to show that our result here is valid.
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