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Sensitivity of a nonlinear ordinary BVP with fractional Dirichlet-Laplace operator

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Τίτλος: Sensitivity of a nonlinear ordinary BVP with fractional Dirichlet-Laplace operator
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
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  Data: Sensitivity of a nonlinear ordinary BVP with fractional Dirichlet-Laplace operator
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  Data: <searchLink fieldCode="AR" term="%22Idczak%2C+Dariusz%22">Idczak, Dariusz</searchLink>
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  Data: Electronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas.
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  Data: Texas State University, Department of Mathematics
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  Data: 2021
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  Data: <searchLink fieldCode="DE" term="%22fractional+Dirichlet-Laplace+operator%22">fractional Dirichlet-Laplace operator</searchLink><br /><searchLink fieldCode="DE" term="%22Palais-Smale+condition%22">Palais-Smale condition</searchLink><br /><searchLink fieldCode="DE" term="%22Stone-von+Neumann+operator+calculus%22">Stone-von Neumann operator calculus</searchLink><br /><searchLink fieldCode="DE" term="%22global+implicit+function+theorem%22">global implicit function theorem</searchLink>
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  Data: 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
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      – Text: English
    Subjects:
      – SubjectFull: fractional Dirichlet-Laplace operator
        Type: general
      – SubjectFull: Palais-Smale condition
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