On a periodic boundary value problem for second-order linear functional differential equations

On a periodic boundary value problem for second-order linear functional differential equations

Unimprovable efficient sufficient conditions are established for the unique solvability of the periodic problem u″(t)=ℓ(u)(t)+q(t) for 0≤t≤É, u(i)(0)=u(i)(É)(i=0,1), where É>0, ℓ:C([0,É])→L([0,É]) is a linear bounded operator, and q∈L([0,É])....

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Main Author: S. Mukhigulashvili
Format: Article
Language:English
Published: SpringerOpen 2005-11-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/BVP.2005.247
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spelling doaj-2666d12e7e8e43799d7d4b02dcd292f42020-11-24T21:12:37ZengSpringerOpenBoundary Value Problems1687-27621687-27702005-11-012005324726110.1155/BVP.2005.247On a periodic boundary value problem for second-order linear functional differential equationsS. MukhigulashviliUnimprovable efficient sufficient conditions are established for the unique solvability of the periodic problem u″(t)=ℓ(u)(t)+q(t) for 0≤t≤É, u(i)(0)=u(i)(É)(i=0,1), where É>0, ℓ:C([0,É])→L([0,É]) is a linear bounded operator, and q∈L([0,É]).http://dx.doi.org/10.1155/BVP.2005.247
collection DOAJ
language English
format Article
sources DOAJ
author S. Mukhigulashvili
spellingShingle S. Mukhigulashvili
On a periodic boundary value problem for second-order linear functional differential equations
Boundary Value Problems
author_facet S. Mukhigulashvili
author_sort S. Mukhigulashvili
title On a periodic boundary value problem for second-order linear functional differential equations
title_short On a periodic boundary value problem for second-order linear functional differential equations
title_full On a periodic boundary value problem for second-order linear functional differential equations
title_fullStr On a periodic boundary value problem for second-order linear functional differential equations
title_full_unstemmed On a periodic boundary value problem for second-order linear functional differential equations
title_sort on a periodic boundary value problem for second-order linear functional differential equations
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2762
1687-2770
publishDate 2005-11-01
description Unimprovable efficient sufficient conditions are established for the unique solvability of the periodic problem u″(t)=ℓ(u)(t)+q(t) for 0≤t≤É, u(i)(0)=u(i)(É)(i=0,1), where É>0, ℓ:C([0,É])→L([0,É]) is a linear bounded operator, and q∈L([0,É]).
url http://dx.doi.org/10.1155/BVP.2005.247
work_keys_str_mv AT smukhigulashvili onaperiodicboundaryvalueproblemforsecondorderlinearfunctionaldifferentialequations
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