THE DEFICIENCY INDEX OF CERTAIN FOURTH-ORDER ORDINARY SELF-ADJOINT DIFFERENTIAL OPERATORS
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Publication:5679157
DOI10.1093/qmath/23.3.267zbMath0263.34022OpenAlexW2042558285MaRDI QIDQ5679157
Publication date: 1972
Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/qmath/23.3.267
Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Ordinary differential operators (34L99)
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Investigation of the eigenvalues and root functions of the boundary value problem together with a transmission matrix ⋮ On L2and limit-point type solutions of fourth order differential equations ⋮ Asymptotics for the eigenvalues of a fourth order differential operator in a “degenerate” case ⋮ Nonlinear fourth order boundary value problem ⋮ On the rate of the convergence of the characteristic values of an integral operator associated with a dissipative fourth order differential operator in lim-4 case with finite transmission conditions ⋮ 11.—Limit-n Criteria of Integral Type ⋮ On the deficiency indices of a fourth order singular differential operator ⋮ The limit-4 case of fourth-order self-adjoint differential equations ⋮ Investigation of the spectral properties of a fourth order differential operator with finite transmission conditions ⋮ Asymptotic solutions to linear differential equations with coefficients of the power order of growth, 2 ⋮ Limit circle criteria for 2nth order differential operators ⋮ Limit-point (LP) criteria for real symmetric differential expressions of order 2n ⋮ Asymptotic methods for fourth-order differential equations ⋮ Asymptotics for a class of fourth order differential equations ⋮ The deficiency index problem for ordinary selfadjoint differential operators
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