Spectral Estimates for the Fourth-Order Operator with Matrix Coefficients

[1] Birkhoff G. D.(1923)The boundary-value problems and developments associated with a system of ordinary linear differential equations of the first order Proc. Amer. Acad. 58 51-128

[2] Langer R. E.(1958)A survey of the theory of spectral operators Bull. Amer. Math. Soc. 64 217-274

[3] Dunford N.(1979)On the basis problem of the eigenfunctions of an ordinary differential operator Russ. Math. Surveys. 34 249-250

[4] Shkalikov A. A.(2007)Non-self-adjoint Sturm–Liouville operators with matrix potentials Math. Notes 81 440-448

[5] Veliev O. A.(2015)On spectral properties of Sturm–Liouville operator with matrix potential Ufa Math. J. 7 84-94

[6] Uskova N. B.(2008)Uniform convergence of the spectral expansion for a differential operator with periodic matrix coefficients Bound. Value Probl. 2008 628973-672

[7] Veliev O. A.(2011)On the basis property of the root functions of differential operators with matrix coefficients Cent. Eur. J. Math. 9 657-190

[8] Veliev O. A.(2014)On non-self-adjoint Sturm–Liouville operators in the space of vector functions Math. Notes. 95 180-39

[9] Seref F.(1983)Methods of abstract harmonic analysis in the perturbation theory of linear operators Sib. Mat. Zh. 24 21-43

[10] Veliev O. A.(2017)The method of similar operators in the spectral analysis of the Hill operator with nonsmooth potential Sb. Math. 208 1-1176

[1] Birkhoff G. D.(1923)The boundary-value problems and developments associated with a system of ordinary linear differential equations of the first order Proc. Amer. Acad. 58 51-128

[2] Langer R. E.(1958)A survey of the theory of spectral operators Bull. Amer. Math. Soc. 64 217-274

[3] Dunford N.(1979)On the basis problem of the eigenfunctions of an ordinary differential operator Russ. Math. Surveys. 34 249-250

[4] Shkalikov A. A.(2007)Non-self-adjoint Sturm–Liouville operators with matrix potentials Math. Notes 81 440-448

[5] Veliev O. A.(2015)On spectral properties of Sturm–Liouville operator with matrix potential Ufa Math. J. 7 84-94

[6] Uskova N. B.(2008)Uniform convergence of the spectral expansion for a differential operator with periodic matrix coefficients Bound. Value Probl. 2008 628973-672

[7] Veliev O. A.(2011)On the basis property of the root functions of differential operators with matrix coefficients Cent. Eur. J. Math. 9 657-190

[8] Veliev O. A.(2014)On non-self-adjoint Sturm–Liouville operators in the space of vector functions Math. Notes. 95 180-39

[9] Seref F.(1983)Methods of abstract harmonic analysis in the perturbation theory of linear operators Sib. Mat. Zh. 24 21-43

[10] Veliev O. A.(2017)The method of similar operators in the spectral analysis of the Hill operator with nonsmooth potential Sb. Math. 208 1-1176