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On Problems in Mathematical Physics with Variable Parameter

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We consider evolution equations with variable parameters. We obtain new representations of solutions and indicate their applications to inverse problems in mathematical physics.

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References

  1. Yu. E. Anikonov, “Inverse problems for evolution and differential-difference equations with a parameter,” J. Inverse Ill-Posed Probl. 11, No. 5, 439–473 (2003).

    Article  MathSciNet  MATH  Google Scholar 

  2. Yu. E. Anikonov, “The identification problem for the functional equation with a parameter,” J. Inverse Ill-Posed Probl. 20, No. 4, 401–409 (2012).

    Article  MathSciNet  MATH  Google Scholar 

  3. Yu. E. Anikonov and M. V. Neshchadim, “On inverse problems for equations of mathematical physics with parameter” [in Russian], Sib. Elektron. Mat. Izv. 9, 45–64, electronic only (2012).

  4. Yu. E. Anikonov, “Representation of solutions to functional and evolution equations and identification problems” Sib. Elektron. Mat. Izv. 10, 591–614, electronic only (2013).

  5. A. D. Polyanin and A. V. Manzhirov, Handbook of Integral Equations, CRC Press, Boca Raton, Fl. (2008).

    Book  MATH  Google Scholar 

  6. V. A. Yurko, Introduction to Theory of Inverse Spectral Problems [in Russian], Fizmatlit, Moscow (2007).

    Google Scholar 

  7. L. I. Ronkin, Introduction to the Theory of Entire Functions of Several Variables, Am. Math. Soc., Providence, RI (1974).

    MATH  Google Scholar 

  8. I. M. Gel’fand and G. E. Shilov, Generalized Functions. I: Properties and Operations, Academic Press, New York etc. (1964).

  9. L. Hörmander, The Analysis of Linear Partial Differential Operators. I: Distribution Theory and Fourier Analysis, Springer, Berlin (2003).

    Book  MATH  Google Scholar 

  10. V. S. Vladimirov, Equations of Mathematical Physics, Marcel Dekker, New York (1971).

    MATH  Google Scholar 

  11. L. Bers, F. John, M. Schechter, Partial Differential Equations, Am. Math. Soc., Providence, RI (1979).

    MATH  Google Scholar 

  12. N. Ya. Vilenkin et al, Functional Analysis, Wolters-Noordhoff, Groningen (1972).

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Authors and Affiliations

  1. Sobolev Institute of Mathematics SB RAS, 4, pr. Akad. Koptyuga, Novosibirsk, 630090, Russia

    Yu. E. Anikonov

  2. Novosibirsk State University, 2, ul. Pirogova, Novosibirsk, 630090, Russia

    Yu. E. Anikonov

Authors
  1. Yu. E. Anikonov
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Correspondence to Yu. E. Anikonov.

Additional information

Translated from Sibirskii Zhurnal Chistoi i Prikladnoi Matematiki 16, No. 1, 2016, pp. 3-13.

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Anikonov, Y.E. On Problems in Mathematical Physics with Variable Parameter. J Math Sci 228, 335–346 (2018). https://doi.org/10.1007/s10958-017-3625-8

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  • DOI: https://doi.org/10.1007/s10958-017-3625-8

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