Existence of a positive solution to a nonlocal semipositone boundary value problem on a time scale

Commentationes mathematicae Universitatis Carolinae

Christopher S. Goodrich¹ 

关键词: time scales;    integral boundary condition;    second-order boundary value problem;    cone;    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 】

We consider the existence of at least one positive solution to the dynamic boundary value problem \begin{align*} -y^{\Delta\Delta}(t) & = \lambda f(t,y(t))\text{, }t\in [0,T]_{\mathbb{T}}y(0) & = \int_{\tau_1}^{\tau_2}F_1(s,y(s))\ \Delta sy\left(\sigma^2(T)\right) & = \int_{\tau_3}^{\tau_4}F_2(s,y(s))\ \Delta s, \end{align*} where $\mathbb{T}$ is an arbitrary time scale with $0.

【 授权许可】

CC BY