Skip to main content
SpringerLink
Log in

Conditions for the existence of solutions of the equations of the type of the differential method equations

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

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

Literature Cited

  1. G. F. Chew and S. Mandelstam, Phys. Rev.,119, 467 (1960).

    Google Scholar 

  2. C. Lovelace, Nuovo Cim.,21, 305 (1961).

    Google Scholar 

  3. D. V. Shirkov, in: International Winter School of Theoretical Physics at the Joint Institute of Nuclear Research, Dubna, Vol. 2 [in Russian], Dubna (1964), p. 117.

  4. C. Lovelace, Nuovo Cim.,22, 102 (1961).

    Google Scholar 

  5. V. V. Serebryakov and D. V. Shirkov, Fortschr. Phys.,13, 227 (1965).

    Google Scholar 

  6. D. V. Shirkov, V. V. Serebryakov, and V. A. Meshcheryakov, Dispersion Theories of Strong Interactions at Low Energy, North-Holland, Amsterdam (1969); V. V. Serebryakov and D. V. Shirkov, in: Elementary Particles and Nuclear Physics [in Russian], Vol. 1, No. 1 (1970), p. 171.

    Google Scholar 

  7. L. F. Cook and C. E. Jones, Phys. Rev.,144, 1165 (1966).

    Google Scholar 

  8. R. W. Childers and A. W. Martin, Phys. Rev.,171, 1540 (1968).

    Google Scholar 

  9. V. V. Serebryakov and D. V. Shirkov, Yad. Fiz.,6, 400 (1967).

    Google Scholar 

  10. V. I. Lend'el, V. V. Serebryakov, and D. V. Shirkov, Yad. Fiz.,6, 625 (1968); V. I. Lend'el and D. M. Marina, Yad. Fiz.,7, 635 (1968).

    Google Scholar 

  11. V. I. Lend'el and V. V. Serebryakov, Yad. Fiz.,7, 879 (1968).

    Google Scholar 

  12. J. Dilley, Nuovo Cim.,50A, 837 (1967);53A, 465 (1968); P. R. Auvil, Phys. Lett.,25B, 276 (1967).

    Google Scholar 

  13. D. Atkinson, J. Math. Phys.,8, 2281 (1969).

    Google Scholar 

  14. A. Ts. Amatuni, Nuovo Cim.,58A, 321 (1968).

    Google Scholar 

  15. A. V. Efremov and D. V. Shirkov, Zh. Éksp. Teor. Fiz.,42, 1344 (1962).

    Google Scholar 

  16. G. N. Chermalykh, Preprint ITP-69-89, Kiev (1969).

  17. N. I. Muskhelishvili, Singular Integral Equations, Groningen (1953).

  18. S. G. Mikhlin, Linear Integral Equations [in Russian], Fizmatgiz (1959).

  19. F. Riesz and B. Sz. Nagy, Functional Analysis, Blackie and Son, London (1956).

    Google Scholar 

  20. L. Castillejo, R. Dalitz, and F. Dyson, Phys. Rev.,101, 543 (1955).

    Google Scholar 

  21. A. A. Logunov, Nguen van Heu, and O. A. Khustalev, in: Problems of Theoretical Physics [in Russian] (Dedicated to N. N. Bogolyubov on the occasion of his 60th birthday), Nauka (1969).

  22. A. Martin, Nuovo Cim.,42A, 930 (1966);44A, 1219 (1966).

    Google Scholar 

  23. A. A. Logunov, L. D. Soloviev, and A. N. Tavkhelidze, Phys. Lett.,24B, 181 (1967); K. Igi and S. Matsuda, Phys. Rev. Lett.,18, 625 (1967); R. Dolen, D. Horn, and C. Schmid, Phys. Rev.,166, 1768 (1968); M. Jacob, Rapporteur Talk at the Lund Conference on Elementary Particles, June (1969).

    Google Scholar 

  24. D. H. Lyth, Nuovo Cim.,53A, 969 (1968).

    Google Scholar 

  25. V. I. Lend'el and D. M. Marina, Yad. Fiz.,8, 1044 (1968).

    Google Scholar 

  26. G. R. Bart and R. L. Warnock, Phys. Rev. Lett.,22, 1081 (1969).

    Google Scholar 

  27. R. L. Warnock, in: Lectures on Theoretical High Energy Physics, H. Aly (editor), Chap. 10, Wiley-Interscience Publications, New York (1968).

    Google Scholar 

  28. D. V. Shirkov, V. V. Serebryakov, and V. A. Meshcheryakov, Dispersion Theories of Strong Interactions at Low Energy, North-Holland, Amsterdam (1969).

    Google Scholar 

  29. M. Froissart, Nuovo Cim.,22, 191 (1961).

    Google Scholar 

  30. M. Bander, P. W. Coulter, and G. L. Shaw., Phys. Rev. Lett.,14, 270 (1965).

    Google Scholar 

Download references

Authors
  1. G. N. Chermalykh
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Institute of Casting Problems, Academy of Sciences of the Ukrainian SSR. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 10, No. 2, pp. 215–222, February, 1972.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chermalykh, G.N. Conditions for the existence of solutions of the equations of the type of the differential method equations. Theor Math Phys 10, 140–145 (1972). https://doi.org/10.1007/BF01090725

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01090725

Keywords

Search

Navigation