Fredholm Property of Nonlocal Problems for Integro-Differential Hyperbolic Systems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2015
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| _version_ | 1866917134469169152 |
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| author | Kmit, I. Klyuchnyk, R. |
| author_facet | Kmit, I. Klyuchnyk, R. |
| contents | The paper concerns nonlocal time-periodic boundary value problems for first-order Volterra integro-differential hyperbolic systems with boundary inputs. The systems are subjected to integral boundary conditions. Under natural regularity assumptions on the data it is shown that the problems display completely non-resonant behaviour and satisfy the Fredholm alternative in the spaces of continuous and time-periodic functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1508_00755 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Fredholm Property of Nonlocal Problems for Integro-Differential Hyperbolic Systems Kmit, I. Klyuchnyk, R. Analysis of PDEs 35A17, 35B10, 35F45, 35L40 The paper concerns nonlocal time-periodic boundary value problems for first-order Volterra integro-differential hyperbolic systems with boundary inputs. The systems are subjected to integral boundary conditions. Under natural regularity assumptions on the data it is shown that the problems display completely non-resonant behaviour and satisfy the Fredholm alternative in the spaces of continuous and time-periodic functions. |
| title | Fredholm Property of Nonlocal Problems for Integro-Differential Hyperbolic Systems |
| topic | Analysis of PDEs 35A17, 35B10, 35F45, 35L40 |
| url | https://arxiv.org/abs/1508.00755 |