On the solvability of a parameter-dependent cantilever-type BVP
Abstract
We discuss the solvability of a parameter dependent cantilever-type boundary value problem. We provide an existence and localization result for the positive solutions via a Birkhoff-Kellogg type theorem. We also obtain, under additional growth conditions, upper and lower bounds for the involved parameters. An example is presented in order to illustrate the theoretical results.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2022
- DOI:
- arXiv:
- arXiv:2203.07891
- Bibcode:
- 2022arXiv220307891I
- Keywords:
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- Mathematics - Classical Analysis and ODEs;
- Primary 34B08;
- secondary 34B10;
- 34B18;
- 47H30
- E-Print:
- 9 pages, 1 figure