Sensitivity of a nonlinear ordinary BVP with fractional Dirichlet-Laplace operator
Date
2021-07-12
Authors
Idczak, Dariusz
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we derive a sensitivity result for a nonlinear fractional ordinary elliptic system on a bounded interval with Dirichlet boundary conditions. More precisely, using a global implicit function theorem, we show that for each functional parameter there exists a unique solution, and that its dependence on the functional parameters is continuously differentiable.
Description
Keywords
Fractional Dirichlet-Laplace operator, Palais-Smale condition, Stone-von Neumann operator calculus, Global implicit function theorem
Citation
Idczak, D. (2021). Sensitivity of a nonlinear ordinary BVP with fractional Dirichlet-Laplace operator. <i>Electronic Journal of Differential Equations, 2021</i>(64), pp. 1-19.
Rights
Attribution 4.0 International