| Autor: |
MARONCELLI, DANIEL, COLLINS, EMMA |
| Předmět: |
|
| Zdroj: |
Differential Equations & Applications; 2021, Vol. 13 Issue 2, p211-225, 15p |
| Abstrakt: |
In many cases, groundwater flow in an unconfined aquifer can be simplified to a onedimensional Sturm-Liouville model of the form: x"(t)+Ω x(t) = h(t)+ε f (x(t)), t ∊ (0,π) subject to non-local boundary conditions x(0) = h1 +εη1(x) and x(π) = h2 +eη2(x). In this paper, we study the existence of solutions to the above Sturm-Liouville problem under the assumption that e is a small parameter. Our method will be analytical, utilizing the implicit function theorem and its generalizations. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
|
