Fredholm property of nonlocal problems for integro-differential hyperbolic systems | Zendy

Irina Kmit | Zendy; R. Klyuchnyk | Zendy

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Fredholm property of nonlocal problems for integro-differential hyperbolic systems

Author(s) -

Irina Kmit,

R. Klyuchnyk

Publication year - 2016

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2016.1.96

Subject(s) - mathematics , property (philosophy) , fredholm integral equation , differential (mechanical device) , mathematical analysis , integral equation , philosophy , epistemology , aerospace engineering , engineering

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.

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