Skip to main content
Log in

On a two-point nonlocal boundary value problem in a layer for an equation with variable coefficients

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. I. G. Petrovskiî, “On the Cauchy problem for a system of linear partial differential equations involving nonanalytic functions,” Byul. Moskov. Univ. Sekts. A,1, No. 7, 1–72 (1938).

    Google Scholar 

  2. I. M. Gel'fand and G. E. Shilov, Certain Problems of the Theory of Differential Equations [in Russian], Fizmatgiz, Moscow (1958).

    Google Scholar 

  3. A. Kh. Mamyan, “General boundary-value problems in a layer,” Dokl. Akad. Nauk SSSR,267, No. 2, 293–296 (1982).

    Google Scholar 

  4. A. A. Samarskiî, “On some problems of the theory of differential equations,” Differentsial'nye Uravneniya,16, No. 11, 1925–1935 (1980).

    Google Scholar 

  5. A. M. Nakhushev, “On nonlocal problems with a shift and their relations with loaded equations,” Differentsial'nye Uravneniya,21, No. 1, 95–101 (1985).

    Google Scholar 

  6. V. M. Borok, “A criterion for absolutec-stability of partial differential equations,” Differentsial'nye Uravneniya,24, No. 3, 438–444 (1988).

    Google Scholar 

  7. B. I. Ptashnik, Ill-Posed Boundary-Value Problems for Partial Differential Equations [in Russian], Naukova Dumka, Kiev (1984).

    Google Scholar 

  8. A. A. Makarov, “On necessary and sufficient conditions for well-posedness of a boundary-value problem in a layer for a system of partial differential equations,” Differentsial'nye Uravneniya,17, No. 2, 320–324 (1981).

    MATH  Google Scholar 

  9. L. V. Fardigola, “Well-posed problems in a layer with differential operators in a boundary condition,” Ukrain. Mat. Zh.,44, No. 8, 1083–1090 (1992).

    MATH  Google Scholar 

  10. A. Seidenberg, “A new decision method for elementary algebra,” Ann. of Math. (2),60, No. 2, 365–374 (1954).

    Article  Google Scholar 

  11. L. Hörmander, The Analysis of Linear Partial Differential Operators. Vol. 2: Pseudodifferential Operators [Russian translation], Mir, Moscow (1986).

    Google Scholar 

  12. H. Whitney, “Elementary structure of real algebraic varieties,” Ann. of Math. (2),66, No. 3, 545–556 (1957).

    Article  Google Scholar 

  13. A. G. Khovanskiî, “On a class of simultaneous transcendental equations,” Dokl. Akad. Nauk SSSR,255, No. 4, 804–807 (1980).

    Google Scholar 

  14. S. Lojasiewicz, “Division d'une distribution par une fonction analytique des variables réelles,” C. R. Acad. Sci. Paris,246, No. 5, 683–686 (1958).

    MATH  Google Scholar 

  15. L. Hörmander, “On the division of distributions by polynomials,” Ark. Mat.,3, No. 6, 555–558 (1958).

    Article  MATH  Google Scholar 

  16. I. L. Vilents, A Boundary-Value Problem for an Evolution System of Partial Differential Equations in a Topological Vector Space [Preprint] [in Russian], Fiziko-Tekhnicheskiî Instiut Nizkikh Temperatur Akad. Nauk USSR, Khar'kov (1979).

    Google Scholar 

  17. L. V. Fardigola, “A nonlocal boundary-value problem in a layer: Influence of parameters on the properties of solutions,” Differentsial'nye Uravneniya,27, No. 12, 2151–2161 (1991).

    MATH  Google Scholar 

Download references

Authors

Additional information

Khar'kov. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 38, No. 2, pp. 424–438, March–April, 1997.

Translated by Yu. A. Dmitrieva

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fardigola, L.V. On a two-point nonlocal boundary value problem in a layer for an equation with variable coefficients. Sib Math J 38, 367–379 (1997). https://doi.org/10.1007/BF02674636

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02674636

Keywords

Navigation