Analog of the first Fredholm theorem for higher-order nonlinear differential equations
| Autor: | Tariel Kiguradze, I. T. Kiguradze |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Picard–Lindelöf theorem
General Mathematics 010102 general mathematics Mathematical analysis Fredholm integral equation 01 natural sciences Sturm separation theorem Fredholm theory 010101 applied mathematics symbols.namesake Nonlinear system Ordinary differential equation symbols 0101 mathematics Sturm–Picone comparison theorem Analysis Mathematics Peano existence theorem |
| Zdroj: | Differential Equations. 53:996-1004 |
| ISSN: | 1608-3083 0012-2661 |
| DOI: | 10.1134/s0012266117080043 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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