On a periodic boundary value problem for second-order linear functional differential equations. (13th November 2005)

• Record Type: Journal Article
• Authors: Mukhigulashvili, S.
• Is Part Of: Boundary value problems. Volume 3(2005)
• Page Start: 247
• Page End: 261
• Publication Date: 2005-11-13
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/BVP.2005.247
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : Unimprovable efficient sufficient conditions are established for the unique solvability of the periodic problemu ″ ( t ) = ℓ ( u ) ( t ) + q ( t ) for0 ≤ t ≤ ω, u ( i ) ( 0 ) = u ( i ) ( ω ) ( i = 0, 1 ), whereω > 0, ℓ : C ( [ 0, ω ] ) → L ( [ 0, ω ] ) is a linear bounded operator, andq ∈ L ( [ 0, ω ] ) .