I. M. Guseinov, “On a transformation operator”, Mat. Zametki, 62:2 (1997), 206–215; Math. Notes, 62:2 (1997), 172

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Matematicheskie Zametki, 1997, Volume 62, Issue 2, Pages 206–215
DOI: https://doi.org/10.4213/mzm1605 (Mi mzm1605)

This article is cited in 9 scientific papers (total in 9 papers)

On a transformation operator

I. M. Guseinov

Baku State University

Full-text PDF (175 kB) Citations (9)

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DOI: https://doi.org/10.4213/mzm1605

Abstract: We prove the existence of a transformation operator that takes the solution of the equation $y''=\lambda^{2n}y$ to the solution of the equation
$$ y''-\bigl(q_0(x)+\lambda q_1(x)+\dots+\lambda^{n-1}q_{n-1}(x)\bigr)y=\lambda^{2n}y $$
with a condition at infinity. Some properties of the kernel of this operator are studied.

Received: 15.08.1995

English version:
Mathematical Notes, 1997, Volume 62, Issue 2, Pages 172–180
DOI: https://doi.org/10.1007/BF02355905

Bibliographic databases:

UDC: 517.9

Language: Russian

Citation: I. M. Guseinov, “On a transformation operator”, Mat. Zametki, 62:2 (1997), 206–215; Math. Notes, 62:2 (1997), 172–180

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm1605

https://doi.org/10.4213/mzm1605

https://www.mathnet.ru/eng/mzm/v62/i2/p206

This publication is cited in the following 9 articles:

Anar Adiloğlu-Nabiev, Advances in Computer and Electrical Engineering, Emerging Applications of Differential Equations and Game Theory, 2020, 163
V. V. Katrakhov, S. M. Sitnik, “Metod operatorov preobrazovaniya i kraevye zadachi dlya singulyarnykh ellipticheskikh uravnenii”, Singulyarnye differentsialnye uravneniya, SMFN, 64, no. 2, Rossiiskii universitet druzhby narodov, M., 2018, 211–426
A. Adiloglu Nabiev, “On a Boundary Value Problem for a Polynomial Pencil of the Sturm-Liouville Equation with Spectral Parameter in Boundary Conditions”, AM, 07:18 (2016), 2418
Nabiev A.A., “On a Fundamental System of Solutions of the Matrix Schrodinger Equation with a Polynomial Energy-Dependent Potential”, Math. Meth. Appl. Sci., 33:11 (2010), 1372–1383
Nabiev, AA, “Inverse scattering problem for the Schrodinger-type equation with a polynomial energy-dependent potential”, Inverse Problems, 22:6 (2006), 2055
Nabiev, AA, “On the Jost solutions of the Schrodinger-type equations with a polynomial energy-dependent potential”, Inverse Problems, 22:1 (2006), 55
Agamaliyev, A, “On eigenvalues of some boundary value problems for a polynomial pencil of Sturm-Liouville equation”, Applied Mathematics and Computation, 165:3 (2005), 503
Bascanbaz-Tunca, G, “Spectral properties of a Schrodinger equation with a class of complex potentials and a general boundary condition”, Journal of Mathematical Analysis and Applications, 286:1 (2003), 207
Guseinov, IM, “Transformation operators and asymptotic formulas for the eigenvalues of a polynomial pencil of Sturm-Liouville operators”, Siberian Mathematical Journal, 41:3 (2000), 453

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	217
References:	63
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