Displaying similar documents to “Existence theorems for the matrix Riccati equation W ' + W p ( t ) W + Q ( t ) = 0 .”

On a two point linear boundary value problem for system of ODEs with deviating arguments

Jan Kubalčík (2002)

Archivum Mathematicum

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Two point boundary value problem for the linear system of ordinary differential equations with deviating arguments x ' ( t ) = A ( t ) x ( τ 11 ( t ) ) + B ( t ) u ( τ 12 ( t ) ) + q 1 ( t ) , u ' ( t ) = C ( t ) x ( τ 21 ( t ) ) + D ( t ) u ( τ 22 ( t ) ) + q 2 ( t ) , α 11 x ( 0 ) + α 12 u ( 0 ) = c 0 , α 21 x ( T ) + α 22 u ( T ) = c T is considered. For this problem the sufficient condition for existence and uniqueness of solution is obtained. The same approach as in [2], [3] is applied.