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A Generalized Green Operator for a Linear Noetherian Differential-Algebraic Boundary Value Problem


We find solvability conditions and describe the construction of a generalized Green operator for the Cauchy problem. For a linear Noetherian differential-algebraic boundary value problem, we describe the construction of a generalized Green operator, find existence conditions for equilibrium states, and describe their construction.

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The work was supported by the State Foundation for Basic Research (project No. 0118U003390).

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Correspondence to S. M. Chuĭko.

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Chuĭko, S.M. A Generalized Green Operator for a Linear Noetherian Differential-Algebraic Boundary Value Problem. Sib. Adv. Math. 30, 177–191 (2020).

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  • differential-algebraic boundary value problem
  • Cauchy problem
  • solvability conditions
  • generalized Green operator