Academic Journal
Sensitivity of a nonlinear ordinary BVP with fractional Dirichlet-Laplace operator
| Τίτλος: | Sensitivity of a nonlinear ordinary BVP with fractional Dirichlet-Laplace operator |
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| Συγγραφείς: | Idczak, Dariusz |
| Πηγή: | Electronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas. |
| Στοιχεία εκδότη: | Texas State University, Department of Mathematics |
| Έτος έκδοσης: | 2021 |
| Συλλογή: | Texas State University: Digital Collections Repository |
| Θεματικοί όροι: | fractional Dirichlet-Laplace operator, Palais-Smale condition, Stone-von Neumann operator calculus, global implicit function theorem |
| Περιγραφή: | 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. ; Mathematics |
| Τύπος εγγράφου: | article in journal/newspaper |
| Περιγραφή αρχείου: | Text; 19 pages; 1 file (.pdf); application/pdf |
| Γλώσσα: | English |
| Relation: | https://hdl.handle.net/10877/14474; https://doi.org/10.58997/ejde.2021.64 |
| DOI: | 10.58997/ejde.2021.64 |
| Διαθεσιμότητα: | https://hdl.handle.net/10877/14474 https://doi.org/10.58997/ejde.2021.64 |
| Rights: | Attribution 4.0 International ; https://creativecommons.org/licenses/by/4.0/ ; This work is licensed under a Creative Commons Attribution 4.0 International License. |
| Αριθμός Καταχώρησης: | edsbas.9C33418B |
| Βάση Δεδομένων: | BASE |
| DOI: | 10.58997/ejde.2021.64 |
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