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A Periodic Boundary Value Problem for Functional Differential Equations of Higher Order

  • Robert Hakl and Sulkhan Mukhigulashvili
Published/Copyright: March 11, 2010
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Georgian Mathematical Journal
From the journal Volume 16 Issue 4

Abstract

On the interval [0,ฯ‰], consider the periodic boundary value problem

where ๐‘› โ‰ฅ 2, ๐‘™๐‘– : ๐ถ([0,ฯ‰];๐‘…) โ†’ ๐ฟ([0,ฯ‰];๐‘…) (๐‘– = 0,โ€ฆ,๐‘› โ€“ 1) are linear bounded operators, ๐‘ž โˆˆ ๐ฟ([0,ฯ‰];๐‘…), ๐‘๐‘— โˆˆ ๐‘… (๐‘— = 0,โ€ฆ,๐‘› โ€“ 1). The effective sufficient conditions guaranteeing the unique solvability of the considered problem are established.

Received: 2008-07-17
Published Online: 2010-03-11
Published in Print: 2009-December

ยฉ Heldermann Verlag

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