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On the equiconvergence of eigenfunction expansions for a first-order functional-differential operator on a cycle-containing graph with two edges

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References

  1. Pokornyi, Yu.V., Penkin, O.M., Pryadiev, V.L., et al., Differentsial’nye uravneniya na geometricheskikh grafakh (Differential Equations on Geometric Graphs), Moscow: Fizmatlit, 2004.

    MATH  Google Scholar 

  2. Babbage, Ch., Philosophical transactions of the Royal Society of London, 1816, vol. 11, pp. 179–226.

    Article  Google Scholar 

  3. Andreev, A.A., Differ. Uravn., 2004, vol. 40, no. 5, pp. 1126–1128.

    Google Scholar 

  4. Dankl, Ch.G., Trans. Amer. Math. Soc., 1989, vol. 311, no. 1, pp. 167–183.

    Article  MathSciNet  Google Scholar 

  5. Platonov, S.S., Tr. Petrozavod. Gos. Univ. Ser. Mat., 2004, vol. 11, pp. 15–35.

    MathSciNet  Google Scholar 

  6. Khromov, A.P., Mat. Zametki, 1998, vol. 64, no. 6, pp. 932–949.

    MathSciNet  Google Scholar 

  7. Khromov, A.P., Dokl. Ross. Akad. Estestv. Nauk, 2004, no. 4, pp. 80–87.

  8. Khromov, A.P., Mat. Sb., 1981, vol. 114(156), no. 3, pp. 378–405.

    MathSciNet  Google Scholar 

  9. Kornev, V.V. and Khromov, A.P., Mat. Sb., 2001, vol. 192, no. 10, pp. 33–50.

    MathSciNet  Google Scholar 

  10. Kornev, V.V. and Khromov, A.P., Izv. Ross. Akad. Nauk Ser. Mat., 2005, vol. 69, no. 4, pp. 59–74.

    MathSciNet  Google Scholar 

  11. Kurdyumov, V.P. and Khromov, A.P., Mat. Zametki, 2004, vol. 76, no. 1, pp. 97–110.

    MathSciNet  Google Scholar 

  12. Lukonina, A.S., in Matematika, Mekhanika: Sb. nauch. tr. (Mathematics. Mechanics. Collection of Scientific Works), Saratov, 2005, issue 7, pp. 67–70.

  13. Khromov, A.P., in Sovr. metody teorii kraevykh zadach: Mater. VVMSh “Pontryaginskie chteniya-XVII” (Modern Methods of the Theory of Boundary Value Problems. Proc. Math. School “Pontryagin Readings-XVII”), Voronezh, 2006, pp. 192–196.

  14. Rapoport, I.M., O nekotorykh asimptoticheskikh metodakh v teorii differentsial’nykh uravnenii (On Some Asymptotic Methods in the Theory of Differential Equations), Kiev: Izdat. Akad. Nauk Ukrain. SSR, 1954.

    Google Scholar 

  15. Rasulov, M.L., Metod konturnogo integrala i ego primenenie k issledovaniyu zadach dlya differentsial’nykh uravnenii (The Contour Integral Method and Its Application to the Investigation of Problems for Differential Equations), Moscow: Nauka, 1964.

    Google Scholar 

  16. Bari, N.K., Trigonometricheskie ryady (Trigonometric Series), Moscow: Gosudarstv. Izdat. Fiz.-Mat. Lit, 1961.

    Google Scholar 

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Authors and Affiliations

  1. Voronezh State University, Voronezh, Russia

    M. Sh. Burlutskaya & A. P. Khromov

  2. Saratov State University, Saratov, Russia

    M. Sh. Burlutskaya & A. P. Khromov

Authors
  1. M. Sh. Burlutskaya
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  2. A. P. Khromov
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Additional information

Original Russian Text © M.Sh. Burlutskaya, A.P. Khromov, 2007, published in Differentsial’nye Uravneniya, 2007, Vol. 43, No. 12, pp. 1597–1605.

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Burlutskaya, M.S., Khromov, A.P. On the equiconvergence of eigenfunction expansions for a first-order functional-differential operator on a cycle-containing graph with two edges. Diff Equat 43, 1638–1647 (2007). https://doi.org/10.1134/S0012266107120038

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  • DOI: https://doi.org/10.1134/S0012266107120038

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