Polymer Mechanics

, Volume 13, Issue 2, pp 189–196 | Cite as

Solution of operator equations of the second kind with the aid of shifted Chebyshev polynomials

  • L. E. Mal'tsev
Plasticity, Creep, And Rheology Of Solids


Operator Equation Chebyshev Polynomial Shift Chebyshev Polynomial 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    A. R. Rzhanitsyn, The Theory of Creep [in Russian], Moscow (1968).Google Scholar
  2. 2.
    M. A. Koltunov, "The problem of selection of kernels in the solution of problems with creep and relaxation taken into account," Mekh. Polim., No. 4, 483–497 (1966).Google Scholar
  3. 3.
    A. M. Shengelaya, I. E. Troyanovskii, and M. A. Koltunov, "The action function for unstable viscoelastic media," Mekh. Polim., No. 5, 934 (1972).Google Scholar
  4. 4.
    M. A. Koltunov, "The action function in the theory of shells with hereditary properties," in: Investigations in the Theory of Plates and Shells [in Russian], Collection 5, Kazan' (1967), pp. 640–645.Google Scholar
  5. 5.
    C. Lanczos, Practical Methods of Applied Analysis, Prentice-Hall (1956).Google Scholar
  6. 6.
    Functional Analysis (Handbook of Mathematical Reference Library) [in Russian] (1972).Google Scholar
  7. 7.
    F. Riesz and B. Sz-Nagy, Functional Analysis, Ungar, New York (1960).Google Scholar
  8. 8.
    V. L. Goncharov, Theory of Functions of a Complex Variable [in Russian], Moscow (1955).Google Scholar
  9. 9.
    N. S. Bakhvalov, Numerical Methods [in Russian], Moscow (1973).Google Scholar
  10. 10.
    S. N. Bernshtein, Collection of Works [in Russian], Vol. 1, Moscow (1952).Google Scholar
  11. 11.
    M. A. Krasnosel'skii, G. M. Vainikko, P. P. Zabreiko, Ya. B. Rutitskii, and V. Ya. Stetsenko, Approximate Solution of Operator Equations [in Russian], Moscow (1969).Google Scholar
  12. 12.
    M. A. Koltunov, "Introduction to the theory of viscoelasticity," in: Collection of Scientific-Methodological Articles on the Strength of Materials, Structural Mechanics, and the Theory of Elasticity [in Russian], No. 1, Moscow (1973), pp. 24–90.Google Scholar
  13. 13.
    A. A. Koltunov and M. A. Koltunov, "The determination of the cohesive creep functions from empirical creep curves," Mekh. Polim., No. 2, 216–220 (1974).Google Scholar
  14. 14.
    B. E. Pobedrya, "Numerical methods in viscoelasticity theory," Mekh. Polim., No. 3, 417–428 (1973).Google Scholar

Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • L. E. Mal'tsev

There are no affiliations available

Personalised recommendations