Academic Journal
Stable Solvability of Nonlinear Equations under Completely Continuous Perturbations.
| Τίτλος: | Stable Solvability of Nonlinear Equations under Completely Continuous Perturbations. |
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| Συγγραφείς: | Arutyunov, A. V., Zhukovskiy, S. E. |
| Πηγή: | Proceedings of the Steklov Institute of Mathematics; Mar2021, Vol. 312 Issue 1, p1-15, 15p |
| Περίληψη: | For nonlinear mappings acting in Banach spaces, we examine inverse and implicit function theorems under various smoothness assumptions. For various regularity (normality) conditions imposed on such mappings, we prove that the corresponding equations have solutions under any sufficiently small (in the norm) completely continuous perturbations. A priori estimates for these solutions are obtained. [ABSTRACT FROM AUTHOR] |
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| Βάση Δεδομένων: | Complementary Index |
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