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Tricomi problem for a nonlinear equation of mixed type with functional delay and advance

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Abstract

We study a boundary value problem for a nonlinear equation of mixed type with the Lavrent’ev–Bitsadze operator in the principal part and with functional delay and advance in lower-order terms. The general solution of the equation is constructed. The problem is uniquely solvable.

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References

  1. Churikov, F.S. and Kokinasidi, P.D., Construction of the Riemann function for compact equations by the intermediate argument method, Tr. Kubansk. Univ., 1976, vol. 222, pp. 5–12.

    Google Scholar 

  2. Ter-Krikorov, A.M. and Shabunin, M.I., Kurs matematicheskogo analiza (Course of Mathematical Analysis), Moscow: Nauka, 1988.

    MATH  Google Scholar 

  3. Vekua, I.N., Novye metody resheniya ellipticheskikh uravnenii (New Methods for Solving Elliptic Equations), Moscow: Gostekhizdat, 1948.

    Google Scholar 

  4. Prudnikov, A.P., Brychkov, Yu.A., and Marichev, O.I., Integraly i ryady. Spetsial’nye funktsii (Integrals and Series: Special Functions), Moscow: Nauka, 1983.

    MATH  Google Scholar 

  5. Zarubin, A.N., Uravneniya smeshannogo tipa s zapazdyvayushchim argumentom (Equations of the Mixed Type with Retarded Argument), Orel: Orlovsk. Gos. Univ., 1997.

    Google Scholar 

  6. Frankl, F.I., Izbrannye trudy po gazovoi dinamike (Collected Papers on Gas Dynamics), Moscow: Nauka, 1973.

    Google Scholar 

  7. Zarubin, A.N., Boundary value problem for an advanced-retarded equation of mixed type with a nonsmooth degeneration line, Differ. Equations, 2014, vol. 50, no. 10, pp. 1352–1363.

    Article  MathSciNet  MATH  Google Scholar 

  8. Zarubin, A.N., Boundary value problem for a mixed type equation with an advanced-retarded argument, Differ. Equations, 2012, vol. 48, no. 10, pp. 1384–1391.

    Article  MathSciNet  MATH  Google Scholar 

  9. Zarubin, A.N., Tricomi problem for an advanced-retarded equation of the mixed type with closed degeneration line, Differ. Equations, 2015, vol. 51, no. 10, pp. 1306–1318.

    Article  MathSciNet  MATH  Google Scholar 

  10. Agranovich, M.S., Obobshchennye funktsii (Generalized Functions), Moscow: MTsNMO, 2008.

    Google Scholar 

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Authors and Affiliations

  1. Turgenev Orel State University, Orel, 302026, Russia

    A. N. Zarubin

Authors
  1. A. N. Zarubin
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Correspondence to A. N. Zarubin.

Additional information

Original Russian Text © A.N. Zarubin, 2017, published in Differentsial’nye Uravneniya, 2017, Vol. 53, No. 8, pp. 1064–1073.

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Zarubin, A.N. Tricomi problem for a nonlinear equation of mixed type with functional delay and advance. Diff Equat 53, 1035–1044 (2017). https://doi.org/10.1134/S0012266117080080

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  • DOI: https://doi.org/10.1134/S0012266117080080

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