On an Invertible Extension of a Nonself-Adjoint Singular Differential Operator on the Half-Line
Kussainova L.K. Sultanaev Y.T. Kassym A.S.
October 2021Pleiades journals
Differential Equations
2021#57Issue 101408 - 1412 pp.
Abstract: We consider the differential operator generated in the class of compactly supportedfunctions on the positive half-line by the nonself-adjoint differential expression (Formula presented.) with locallyLebesgue integrable coefficients. Cases are not excluded where aj(x) (j = 0, 1) aresign-alternating or can have infinite limits as x → ∞ (withany sign). Descriptions of the internal connections between the coefficients aj (j = 0, 1, 2) are givenunder which the operator in question admits a closed invertible extension in the space L2(0, ∞).
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L.N. Gumilyov Eurasian National University, Nur-Sultan, 010008, Kazakhstan
Akmulla Bashkir State Pedagogical University, Ufa, 450008, Russian Federation
L.N. Gumilyov Eurasian National University
Akmulla Bashkir State Pedagogical University
10 лет помогаем публиковать статьи Международный издатель
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