Nonlocal systems of BVPs with asymptotically superlinear boundary conditions

Commentationes mathematicae Universitatis Carolinae

Christopher S. Goodrich¹ 

关键词: coupled system of second-order boundary value problems;    nonlocal boundary condition;    nonlinear boundary condition;    superlinear growth;    positive solution;   

DOI  :  

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 】

In this paper we consider a coupled system of second-order boundary value problems with nonlocal, nonlinear boundary conditions, and we examine conditions under which such problems will have at least one positive solution. By imposing only an asymptotic growth condition on the nonlinear boundary functions, we are able to achieve generalizations over existing works and, in particular, we allow for the nonlocal terms to be able to be realized as Lebesgue-Stieltjes integrals possessing signed Borel measures. We conclude with a numerical example to illustrate the use of one of our two main results.

【 授权许可】

CC BY