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Similarity of Indefinite Sturm-Liouville Operators with Singular Potential to a Self-Adjoint Operator.

• Authors : Kostenko, A. S.¹

• Source: Mathematical Notes. Jul/Aug2005, Vol. 78 Issue 1/2, p134-139. 6p.

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On an Integral Equation with the Riemann Function Kernel

• Authors : Sergei Sitnik; Abdul Ahad Arian

Subjects: transmutations; Sturm–Liouville operator; singular potential

• Source: Axioms; Volume 11; Issue 4; Pages: 166

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On an integral equation with the Riemann function kernel

• Authors : Sitnik, S.; Abdul Ahad Arian

Subjects: mathematics; mathematical analysis; transmutations

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Eigenvalue asymptotics for the sturm-liouville operator with potential having a strong local negative singularity

• Authors : Nursultanov, Medet, 1990; Rozenblioum, Grigori, 1948

Subjects: Asymptotics of eigenvalues; Singular potential; Sturm-Liouville operator

• Source: Opuscula Mathematica. 37(1):109-139

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On an Integral Equation with the Riemann Function Kernel.

• Authors : Sitnik, Sergei¹ (AUTHOR) ; Arian, Abdul Ahad¹ (AUTHOR)

• Source: Axioms (2075-1680). Apr2022, Vol. 11 Issue 4, p166. 12p.

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A Riesz basis criterion for Schrödinger operators with boundary conditions dependent on the eigenvalue parameter

• Authors : Guliyev, Namig;

Subjects: one-dimensional Schrödinger equation; Sturm–Liouville operator; distributional potential

• Source: ISSN: 1664-2368.

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Eigenvalue asymptotics for the Sturm-Liouville operator with potential having a strong local negative singularity

• Authors : Medet Nursultanov; Grigori Rozenblum

Subjects: Sturm-Liouville operator; singular potential; asymptotics of eigenvalues

• Source: Opuscula Mathematica, Vol 37, Iss 1, Pp 109-139 (2017)

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Schrödinger operators with distributional potentials and boundary conditions dependent on the eigenvalue parameter

• Authors : Guliyev, Namig;

Subjects: Darboux transformation; oscillation; asymptotics

• Source: ISSN: 0022-2488 ; Journal of Mathematical Physics ; https://hal.archives-ouvertes.fr/hal-01824209 ; Journal of Mathematical Physics, American Institute of Physics (AIP), 2019, 60 (6), pp.063501.

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Mark Krein's method of directing functionals and singular potentials

• Authors : Fulton, Charles; Langer, Heinz; Luger, Annemarie

Subjects: Directing functional; Sturm-Liouville operator; Bessel

• Source: Mathematische Nachrichten. 285(14-15):1791-1798

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Eigenvalue asymptotics for the Sturm-Liouville operator with potential having a strong local negative singularity

• Authors : Grigori Rozenblum; Medet Nursultanov

Subjects: Pure mathematics; lcsh:T57-57.97; General Mathematics

• Source: Opuscula Mathematica, Vol 37, Iss 1, Pp 109-139 (2017)

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