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

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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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     author = {A. R. Aliev and S. S. Mirzoev},
     title = {On {Boundary} {Value} {Problem} {Solvability} {Theory} for a {Class} of {High-Order} {Operator-Differential} {Equations}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {63--65},
     publisher = {mathdoc},
     volume = {44},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2010_44_3_a4/}
}
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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/