Dergiler / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 1

Properties in $L_p$ of root functions for a nonlocal problem with involution

Sayfa
393–401
Yayın Tarihi
2022-11-05
DOI
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The spectral problem $-u''(chi);+;au"(chi);=;lambda u(x),;;-1

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The spectral problem $-u''(chi);+;au"(chi);=;lambda u(x),;;-1
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Temel Bulgular & Veri:The spectral problem $-u''(chi);+;au"(chi);=;lambda u(x),;;-1
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Sonuç & Katkı:The spectral problem $-u''(chi);+;au"(chi);=;lambda u(x),;;-1
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

The spectral problem $-u''(chi);+;au"(chi);=;lambda u(x),;;-1

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Bu Makaleye Atıf Yap

KRITSKOV, L. V., SADYBEKOV, M. A., SARSENBI, A. M. (2022). Properties in $L_p$ of root functions for a nonlocal problem with involution. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 393–401. https://ajindex.com/articles/607975

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Kaynakça (17)

  1. Aleroev TS, Kirane M, Malik SA. Determination of a source term for a time fractional diffusion equation with an integral type over-determining condition. Electron J Differ Eq 2013; 2013: 1-16
  2. Ashyralyev A, Sarsenbi AM. Well-posedness of a parabolic equation with nonlocal boundary condition. Bound Value Probl 2015; 2015: 38
  3. Bari NK. A Treatise on Trigonometric Series. New York, NY, USA: Pergamon Press, 1964
  4. Benzinger HE. The Lp behavior of eigenfunction expansions. T Am Math Soc 1972; 174: 333-344
  5. Cabada A, Tojo FAF. Differential Equations with Involutions. Amsterdam, the Netherlands: Atlantis Press, 2015
  6. Gomilko AM, Radzievskii GV. Equivalence in Lp[0; 1] of the system ei2kx (k = 0;1;::: ) and the system of the eigenfunctions of an ordinary functional-differential operator. Math Notes 1991; 49: 34-40
  7. Huseynli A. On the stability of basisness in Lp (1 [8] Il’in VA. Basis property and equiconvergence with the trigonometric series of root function expansions and the form of boundary conditions for a nonself-adjoint differential operator. Diff Equat 1994; 30: 1402-1413
  8. Il’in VA, Kritskov LV. Properties of spectral expansions corresponding to nonself-adjoint differential operators. J Math Sci NY 2003; 116: 3489-3550
  9. Ionkin NI. Solution of a boundary-value problem in heat conduction with a nonclassical boundary condition. Diff Equat 1977; 13: 204-211
  10. Kashin BS, Saakyan AA. Orthogonal Series. New York, NY, USA: AMS Translations of Mathematics Monographs, 1989
  11. Kerimov NB. On a boundary value problem of N. I. Ionkin type. Diff Equat 2013; 49: 1233-1245
  12. Khromov AP, Kurdyumov VP. Riesz bases formed by root functions of a functional-differential equation with a reflection operator. Differ Equat 2008; 44: 203-212
  13. Kopzhassarova AA, Lukashov AL, Sarsenbi AM. Spectral properties of non-self-adjoint perturbations for a spectral problem with involution. Abstr Appl Anal 2012; 2012: 590781
  14. Kopzhassarova AA, Sarsenbi AM. Basis properties of eigenfunctions of second-order differential operators with involution. Abstr Appl Anal 2012; 2012: 576843
  15. Kritskov LV, Sadybekov MA, Sarsenbi AM. Nonlocal spectral problem for a second-order differential equation with an involution. B Karaganda Univ Math 2018; 3: 53-60
  16. Kritskov LV, Sarsenbi AM. Spectral properties of a nonlocal problem for the differential equation with involution. Diff Equat 2015; 51: 984-990
  17. Kritskov LV, Sarsenbi AM. Basicity i