Dergiler / Cumhuriyet Science Journal / 2015 / Cilt: 36 - Sayı: 5

INTEGRAL REPRESENTATION FOR THE STURM-LIOUVILLE OPERATOR WITH DISCONTINUOUS COEFFICIENT

Sayfa
113–133
Yayın Tarihi
2015-04-28
DOI
—
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In this paper,the Sturm-Liouville with discontinuous coe¢ cientis considered. ·Integral equations for solution which satisfy certain initial ofgiven and equation has been obtained and useful integral representation forSturm-Liouville operator.

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Amaç & Hipotez:In this paper,the Sturm-Liouville with discontinuous coe¢ cientis considered. ·Integral equations for solution which satisfy certain initial ofgiven and equation has been obtained and useful integral representation forSturm-Liouville operator.
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Temel Bulgular & Veri:In this paper,the Sturm-Liouville with discontinuous coe¢ cientis considered. ·Integral equations for solution which satisfy certain initial ofgiven and equation has been obtained and useful integral representation forSturm-Liouville operator.
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Sonuç & Katkı:In this paper,the Sturm-Liouville with discontinuous coe¢ cientis considered. ·Integral equations for solution which satisfy certain initial ofgiven and equation has been obtained and useful integral representation forSturm-Liouville operator.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Integral equation · Sturm-Liouville · kernel

Abstract

In this paper,the Sturm-Liouville with discontinuous coe¢ cientis considered. ·Integral equations for solution which satisfy certain initial ofgiven and equation has been obtained and useful integral representation forSturm-Liouville operator.

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Bu Makaleye Atıf Yap

AMİROV, R., DURAK, S. (2015). INTEGRAL REPRESENTATION FOR THE STURM-LIOUVILLE OPERATOR WITH DISCONTINUOUS COEFFICIENT. Cumhuriyet Science Journal, Cilt: 36 - Sayı: 5, 113–133. https://ajindex.com/articles/482778

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Kaynakça (9)

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  3. The Inverse Sturm-Liouville Problem, Mat. Tidsskr. B., pp. 25-30. B. M. Levitan, 1964, Generalized Translation Operators and some of its Applications, Jerusalem. V.A. Marchenko, Some Problems in the Theory of Second-order DiferentialOperators, Dokl. Akad., Nauk SSSR. 72 (1950), 457-560. I. M. Gelfand and B. M. Levitan, 1951 On Determination of a Di¤erentialEquation by its Spectral Function Izv. Akad. Nauk SSSR Ser. Mat. 15 309-60 (in Russian). M.G. Gasimov and B. M. Levitan, About Sturm-Liouville Di¤erential. Operators., Math. Sborn., 63 (105), No. 3, (1964).
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