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Dergiler / Cankaya University Journal of Humanities and Social Sciences / 2026 / Volume: 1 Issue: 5

On Basis Property for a Boundary-Value Problem with a Spectral Parameter in the Boundary Condition

Vagif Y. Gul, Khanlar R. Mamedov
Khanlar R. Mamedov
Sayfa
9–17
Yayın Tarihi
2006-04-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In the present work, the properties as completeness, minimality and basis property are investigated for the eigenfunctions of Sturm-Liouville problem with a spectral parameter in the boundary condition

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the present work, the properties as completeness, minimality and basis property are investigated for the eigenfunctions of Sturm-Liouville problem with a spectral parameter in the boundary condition
📊
Temel Bulgular & Veri:In the present work, the properties as completeness, minimality and basis property are investigated for the eigenfunctions of Sturm-Liouville problem with a spectral parameter in the boundary condition
💡
Sonuç & Katkı:In the present work, the properties as completeness, minimality and basis property are investigated for the eigenfunctions of Sturm-Liouville problem with a spectral parameter in the boundary condition
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Sturm-Liouville problem · completeness · minimality and basis

Özet

In the present work, the properties as completeness, minimality and basis property are investigated for the eigenfunctions of Sturm-Liouville problem with a spectral parameter in the boundary condition

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Bu Makaleye Atıf Yap

Gul, V. Y., Mamedov, K. R., Mamedov, K. R. (2006). On Basis Property for a Boundary-Value Problem with a Spectral Parameter in the Boundary Condition. Cankaya University Journal of Humanities and Social Sciences, Volume: 1 Issue: 5, 9–17. https://ajindex.com/articles/1125588

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Kaynakça (23)

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  2. P. A. Binding, P.J. Browne, K. Siddighi, ‘Sturm-Louville Problems with Eigenparameter Dependent Conditions’, Proc. Edinburgh Math. Soc. V.37, No.1 (1999), pp.57-72
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  9. N. Yu. Kapustin, E. İ. Moisseev, ‘On the Spectral Problem from the Theory of the Parabolic Heat Equation’, Dok. Russ. Akad. Nauk, 352 No.4 (1997), pp.451-454
  10. N. Yu. Kapustin, E. İ. Moisseev ‘Oscillation Properties of the Solutions to a Nonselfadjoint Spectral Parameter in the Boundary Condition’, Diff. Equations., V. 35 No.8 (1999), pp.1024- 1027
  11. N. Yu. Kapustin,, E. İ. Moisseev, ‘A remark On the Convergence problem for Spectral expansions Corresponding to Classical problem with a spectral Parameter in the Boundary Condition’, Diff. Equations, 37 V.(12) (2001), pp.1677-1683
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  15. N. B. Kerimov, Kh. R. Mamedov, “The Sturm-Liouville Problem with Non-linear Spectral Parameter in the Boundary Conditions”, İzv.NAS Az., V.21, No 1 (2001), pp.100-104
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  20. J. Walter, ‘Regular Eigenvalue Problems with Eigenvalue Parameter in the Boundary Conditions’, Math. Z., 133 (1973), pp. 301-312.
  21. N. Yu. Kapustin, E. İ. Moisseev, ‘Spectral Problem with the Spectral Parameter in the Boundary Condition’, Diff. Equations. V. 33 No.1 (1997), pp.115-119
  22. N. Yu. Kapustin, E. İ. Moisseev ‘Oscillation Properties of the Solutions to a Nonselfadjoint Spectral Parameter in the Boundary Condition’, Diff. Equations., V. 35 No.8 (1999), pp.1024- 1027
  23. N. Yu. Kapustin,, E. İ. Moisseev, ‘A remark On the Convergence problem for Spectral expansions Corresponding to Classical problem with a spectral Parameter in the Boundary Condition’, Diff. Equations, 37 V.(12) (2001), pp.1677-1683