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.
Submitted July 19, 2020. Published July 12, 2021.
Math Subject Classifications: 34B15, 34A08, 34B08, 34L05.
Key Words: Fractional Dirichlet-Laplace operator; Palais-Smale condition; Stone-von Neumann operator calculus; global implicit function theorem.
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| Dariusz Idczak |
Faculty of Mathematics and Computer Science
University of Lodz
Banacha 22 90-238 Lodz, Poland
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