Displaying similar documents to “Initial and boundary value problems for functional integro-differential equations.”

On an antiperiodic type boundary value problem for first order linear functional differential equations

Robert Hakl, Alexander Lomtatidze, Jiří Šremr (2002)

Archivum Mathematicum

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Nonimprovable, in a certain sense, sufficient conditions for the unique solvability of the boundary value problem u ' ( t ) = ( u ) ( t ) + q ( t ) , u ( a ) + λ u ( b ) = c are established, where : C ( [ a , b ] ; R ) L ( [ a , b ] ; R ) is a linear bounded operator, q L ( [ a , b ] ; R ) , λ R + , and c R . The question on the dimension of the solution space of the homogeneous problem u ' ( t ) = ( u ) ( t ) , u ( a ) + λ u ( b ) = 0 is discussed as well.