Sufficient conditions for the solvability of some third order functional boundary value problems on the half-line

Commentationes mathematicae Universitatis Carolinae

Hugo Carrasco ; Feliz Minh\xc3\xb3s

关键词: functional boundary conditions;    unbounded solutions;    half-line;    upper and lower solutions;    Nagumo condition;    Green\'s function;    fixed point theory;    Falkner-Skan equationDOI: DOI 10.14712/1213-7243.2015.220AMS Subject Classification: 34B10 34B15 34B27 34B40 34B60 45G10 PDF;   

DOI  :  10.14712/1213-7243.2015.220

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

This paper is concerned with the existence of bounded or unbounded solutions to third-order boundary value problem on the half-line with functional boundary conditions. The arguments are based on the Green functions, a~Nagumo condition, Schauder fixed point theorem and lower and upper solutions method. An application to a Falkner-Skan equation with functional boundary conditions is given to illustrate our results.

【 授权许可】

CC BY