2011•arXiv (Cornell University)Open access

On the Boundary Value Problem with the Operator in Boundary Conditions\n for the Operator-Differential Equation of the Third Order

А. Р. Алиев, Sevindj F. Babayeva

Abstract

In this paper the boundary value problem for one class of the\noperator-differential equations of the third order on a semi-axis, where one of\nthe boundary conditions is perturbed by some linear operator is researched.\nThere are received sufficient conditions on the operator coefficients of the\nconsidered boundary value problem, providing its correct and univalent\nresolvability in Sobolev type space.\n

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Key concepts: Trace operator, Boundary value problem, Mathematics, Poincaré–Steklov operator, Semi-elliptic operator, Mathematical analysis, Operator (biology), Mixed boundary condition