First order differential systems with a nonlinear boundary condition via the method of solution-regions

Boundary value problems

Marlène Frigon¹  F. Adrián F. Tojo²  Marcos Tella² 

[1] Département de mathématiques et de statistique, Université de Montréal, Montreal, Canada;Instituto de Matemáticas, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, Spain;

关键词: Solution regions;    Nonlinear boundary conditions;    Existence results;    Upper and lower solutions;    34L30;    34B15;   

DOI  :  10.1186/s13661-021-01495-9

来源: Springer

【 摘 要 】

In this article we extend the known theory of solution regions to encompass nonlinear boundary conditions. We both provide results for new boundary conditions and recover some known results for the linear case.

【 授权许可】

CC BY