Email this article Analog of the first Fredholm theorem for higher-order nonlinear differential equations
- Authors: Kiguradze I.T.1, Kiguradze T.I.2
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Affiliations:
- Razmadze Mathematical Institute of Javakhishvili State University
- Florida Institute of Technology
- Issue: Vol 53, No 8 (2017)
- Pages: 996-1004
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154506
- DOI: https://doi.org/10.1134/S0012266117080043
- ID: 154506
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Abstract
We study the existence of solutions continuously depending on a parameter for higher-order nonlinear ordinary differential equations with linear boundary conditions. In particular, we prove a theorem of Fredholm type providing tests for the unique solvability of this problem.
About the authors
I. T. Kiguradze
Razmadze Mathematical Institute of Javakhishvili State University
Author for correspondence.
Email: kigurad@gmail.com
Georgia, Tbilisi, 0177
T. I. Kiguradze
Florida Institute of Technology
Email: kigurad@gmail.com
United States, Melbourne, FL, 32901
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