Geodesic
On Boundary Value Problem Solvability Theory for a Class of High-Order Operator-Differential Equations
Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 3, pp. 63-65 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this note, we establish sufficient conditions for the correct and unique solvability of various boundary value problems for a class of even-order operator-differential equations on the half-axis. These conditions are unimprovable in terms of operator coefficients of the equation. We note that the principal part of the equation under study suffers a discontinuity.
Keywords: Hilbert space, self-adjoint operator, operator-differential equation, discontinuous coefficient, regular solution, intermediate derivatives.
Mots-clés : isomorphism 
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A. R. Aliev; S. S. Mirzoev. On Boundary Value Problem Solvability Theory for a Class of High-Order Operator-Differential Equations. Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 3, pp. 63-65. http://geodesic.mathdoc.fr/item/FAA_2010_44_3_a4/

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