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Hyperbolicity of periodic solutions of functional differential equations with several delays
| Content Provider | Semantic Scholar |
|---|---|
| Author | Zhuravlev, Nikolai Borisovich Skubachevskii, Alexander Leonidovich |
| Copyright Year | 2007 |
| Abstract | We study conditions for the hyperbolicity of periodic solutions to nonlinear functional differential equations in terms of the eigenvalues of the monodromy operator. The eigenvalue problem for the monodromy operator is reduced to a boundary value problem for a system of ordinary differential equations with a spectral parameter. This makes it possible to construct a characteristic function. We prove that the zeros of this function coincide with the eigenvalues of the monodromy operator and, under certain additional conditions, the multiplicity of a zero of the characteristic function coincides with the algebraic multiplicity of the corresponding eigenvalue. |
| Starting Page | 136 |
| Ending Page | 159 |
| Page Count | 24 |
| File Format | PDF HTM / HTML |
| DOI | 10.1134/S0081543807010087 |
| Volume Number | 256 |
| Alternate Webpage(s) | http://www.mathnet.ru/links/f708a9d90e0402b2281ba98a6dd5ce40/tm460.pdf |
| Alternate Webpage(s) | https://doi.org/10.1134/S0081543807010087 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
