Skip to main content
SpringerLink
Log in

Boundary-Value Problem for Functional-Differential Advanced-Retarded Tricomi Equation

  • Published:
Russian Mathematics Aims and scope Submit manuscript

Abstract

We investigate the boundary-value problem for Tricomi mixed-type equation with multiple functional retarding and advancing. We construct the general solution to the equation. The problem is uniquely solvable.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Bitsadze, A. V. Equationas of Mixed Type (AN USSR Press,Moscow, 1959) [in Russian].

    Google Scholar 

  2. Frankl’, F. I. Selected Works on Gas Dynamics (Nauka, Moscow, 1973) [in Russian].

    Google Scholar 

  3. Zarubin, A. N. Equations of Mixed Type With Retarding Argument (Orel Univ. Press, Orel, 1999) [in Russian].

    Google Scholar 

  4. Gradstein, I. S., Ryzhik, I. M. Tables of Integrals, Sums, Series and Products (Nauka, Moscow, 1971) [in Russian].

    Google Scholar 

  5. Kampéde Fériet, J., Kampbell, R., Peto, G., Vogel, T. Functions of Mathematical Physics (Fizmatlit, Moscow, 1963) [Russian translation].

    Google Scholar 

  6. Prudnikov, A. P., Brychkov, Yu. A., Marichev, O. I. Integrals and Series. Additional Chapters (Nauka, Moscow, 1986) [in Russian].

    MATH  Google Scholar 

  7. Zarubin A.N. Boundary Value Problem for a Mixed Type Equation With an Advanced-Retarded Argument, Differ. Equ. 48, No. 10, 1384–1391 (2012).

    Article  MathSciNet  MATH  Google Scholar 

  8. Agranovich, M. S. Generalized functions (MTsNMO,Moscow, 2008) [in Russian].

    Google Scholar 

  9. Ter-Krikorov, A. M., Shabunin, M. I. Course of Mathematikal Analysis (Nauka, Moscow, 1988) [in Russian].

    MATH  Google Scholar 

  10. Prudnikov, A. P., Brychkov, Yu. A., Marichev, O. I. Integrals and Series. Elementary Functions (Nauka, Moscow, 1981) [in Russian].

    MATH  Google Scholar 

  11. Gakhov, F. D. Boundary-Value Problems (Nauka, Moscow, 1977) [in Russian].

    MATH  Google Scholar 

  12. Samko, S. G., Kilbas, A. A., Marichev, O. I. Integrals and Derivatives of Fractional Orders With Applications (Nauka i tekhnika,Minsk, 1987) [in Russian].

    MATH  Google Scholar 

  13. Polyaanin, A. D., Manzhirov, A. V. Handbook of Integral Equations (Fizmatlit, Moscow, 2003) [in Russian].

    Google Scholar 

  14. Ditkin, V. A., Prudnikov, A. P. Integral Transforms and Operational Calculus (Nauka,Moscow, 1961) [in Russian].

    Google Scholar 

  15. Bateman, H., Erdélyi, A. Tables of Integral Transforms (Nauka, Moscow, 1969) [Russian translation].

    Google Scholar 

  16. Appel, P. and Kampéde Fériet, J. Fonctions Hypergéométriques et Hypersphériques. Polynome d’Hermite (Paris, Gauthier-Villars, 1926).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Orel State University, ul. Komsomol’skaya 95, Orel, 302026, Russia

    A. N. Zarubin

Authors
  1. A. N. Zarubin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. N. Zarubin.

Additional information

Original Russian Text © A.N. Zarubin, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, No. 6, pp. 9–24.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zarubin, A.N. Boundary-Value Problem for Functional-Differential Advanced-Retarded Tricomi Equation. Russ Math. 62, 6–20 (2018). https://doi.org/10.3103/S1066369X18060026

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1066369X18060026

Keywords

Search

Navigation