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JOURNALS // Differentsial'nye Uravneniya

Differ. Uravn., 2006, Volume 42, Number 12, Pages 1646–1656 (Mi de11604)

On the basis property of systems of root functions of regular boundary value problems for the Sturm–Liouville operator
A. S. Makin

This publication is cited in the following articles:
  1. Oktay Veliev, Non-Self-Adjoint Schrödinger Operator with a Periodic Potential, 2025, 355  crossref
  2. A. S. Makin, “O dvukhtochechnykh kraevykh zadachakh dlya operatorov Shturma—Liuvillya i Diraka”, Materialy Voronezhskoi vesennei matematicheskoi shkoly «Sovremennye metody teorii kraevykh zadach. Pontryaginskie chteniya–XXX». Voronezh, 3–9 maya 2019 g. Chast 5, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 194, VINITI RAN, M., 2021, 144–154  mathnet  crossref
  3. O. Cabri, K. R. Mamedov, “On the Riesz Basisness of Root Functions of a Sturm–Liouville Operator with Conjugate Conditions”, Lobachevskii J Math, 41:9 (2020), 1784  crossref
  4. O. Cabri, K. R. Mamedov, “Riesz Basisness of Root Functions of a Sturm–Liouville Operator with Conjugate Conditions”, Lobachevskii J Math, 41:1 (2020), 1  crossref
  5. Ufuk KAYA, Esma KARA KUZU, “Basis properties of root functions of a regular fourth order boundary value problem”, Hacettepe Journal of Mathematics and Statistics, 49:1 (2020), 338  crossref
  6. Olgun Cabri, “On the Riesz basis property of the root functions of a discontinuous boundary problem”, Math Methods in App Sciences, 42:18 (2019), 6733  crossref
  7. L. V. Kritskov, “Bessel Property of the System of Root Functions of a Second-Order Singular Operator on an Interval”, Diff Equat, 54:8 (2018), 1032  crossref
  8. Cemile Nur, O. A. Veliev, “On the basis property of the root functions of Sturm–Liouville operators with general regular boundary conditions”, Mosc. Math. J., 15:3 (2015), 511–526  mathnet  crossref  mathscinet
  9. Hikmet Gunes, Nazim B. Kerimov, Ufuk Kaya, “Spectral Properties of Fourth Order Differential Operators with Periodic and Antiperiodic Boundary Conditions”, Results. Math., 68:3-4 (2015), 501  crossref
  10. Nazim B. Kerimov, Ufuk Kaya, “Some problems of spectral theory of fourth-order differential operators with regular boundary conditions”, Arab. J. Math., 3:1 (2014), 49  crossref
  11. Nazim B. Kerimov, Ufuk Kaya, “Spectral asymptotics and basis properties of fourth order differential operators with regular boundary conditions”, Math. Meth. Appl. Sci., 37:5 (2014), 698  crossref
  12. Cemile Nur, Oktay A Veliev, “On the basis property of the root functions of some class of non-self-adjoint Sturm-Liouville operators”, Bound Value Probl, 2014:1 (2014)  crossref
  13. Nazim B. Kerimov, Ufuk Kaya, “Spectral properties of some regular boundary value problems for fourth order differential operators”, centr.eur.j.math., 11:1 (2013), 94  crossref
  14. Fritz Gesztesy, Vadim Tkachenko, “A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions”, Journal of Differential Equations, 253:2 (2012), 400  crossref
  15. Plamen Djakov, Boris Mityagin, “Criteria for existence of Riesz bases consisting of root functions of Hill and 1D Dirac operators”, Journal of Functional Analysis, 263:8 (2012), 2300  crossref
  16. Plamen Djakov, Boris Mityagin, “Riesz bases consisting of root functions of 1D Dirac operators”, Proc. Amer. Math. Soc., 141:4 (2012), 1361  crossref
  17. Alexander S. Makin, “On Summability of Spectral Expansions Corresponding to the Sturm-Liouville Operator”, International Journal of Mathematics and Mathematical Sciences, 2012 (2012), 1  crossref
  18. Plamen Djakov, Boris Mityagin, “Convergence of spectral decompositions of Hill operators with trigonometric polynomial potentials”, Math. Ann., 351:3 (2011), 509  crossref


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