Sensitivity of a nonlinear ordinary BVP with fractional Dirichlet-Laplace operator
Classical Analysis and ODEs
2019-01-01 v1 Analysis of PDEs
Abstract
In the paper, 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 any functional parameter, there exists a unique solution to such a problem and dependence of solutions on functional parameters is continuously differentiable.
Keywords
Cite
@article{arxiv.1812.11515,
title = {Sensitivity of a nonlinear ordinary BVP with fractional Dirichlet-Laplace operator},
author = {Dariusz Idczak},
journal= {arXiv preprint arXiv:1812.11515},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1812.11349