Examples



mdbootstrap.com



 
Статья
2018

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


A. N. ZarubinA. N. Zarubin
Русская математика
https://doi.org/10.3103/S1066369X18060026
Abstract / Full Text

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.

Author information
  • Orel State University, ul. Komsomol’skaya 95, Orel, 302026, RussiaA. N. Zarubin
References
  1. Bitsadze, A. V. Equationas of Mixed Type (AN USSR Press,Moscow, 1959) [in Russian].
  2. Frankl’, F. I. Selected Works on Gas Dynamics (Nauka, Moscow, 1973) [in Russian].
  3. Zarubin, A. N. Equations of Mixed Type With Retarding Argument (Orel Univ. Press, Orel, 1999) [in Russian].
  4. Gradstein, I. S., Ryzhik, I. M. Tables of Integrals, Sums, Series and Products (Nauka, Moscow, 1971) [in Russian].
  5. Kampéde Fériet, J., Kampbell, R., Peto, G., Vogel, T. Functions of Mathematical Physics (Fizmatlit, Moscow, 1963) [Russian translation].
  6. Prudnikov, A. P., Brychkov, Yu. A., Marichev, O. I. Integrals and Series. Additional Chapters (Nauka, Moscow, 1986) [in Russian].
  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).
  8. Agranovich, M. S. Generalized functions (MTsNMO,Moscow, 2008) [in Russian].
  9. Ter-Krikorov, A. M., Shabunin, M. I. Course of Mathematikal Analysis (Nauka, Moscow, 1988) [in Russian].
  10. Prudnikov, A. P., Brychkov, Yu. A., Marichev, O. I. Integrals and Series. Elementary Functions (Nauka, Moscow, 1981) [in Russian].
  11. Gakhov, F. D. Boundary-Value Problems (Nauka, Moscow, 1977) [in Russian].
  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].
  13. Polyaanin, A. D., Manzhirov, A. V. Handbook of Integral Equations (Fizmatlit, Moscow, 2003) [in Russian].
  14. Ditkin, V. A., Prudnikov, A. P. Integral Transforms and Operational Calculus (Nauka,Moscow, 1961) [in Russian].
  15. Bateman, H., Erdélyi, A. Tables of Integral Transforms (Nauka, Moscow, 1969) [Russian translation].
  16. Appel, P. and Kampéde Fériet, J. Fonctions Hypergéométriques et Hypersphériques. Polynome d’Hermite (Paris, Gauthier-Villars, 1926).