Skip to main content
SpringerLink
Log in

Ordinary linear differential equations involving random functions

  • Published:
Proceedings of the Indian Academy of Sciences - Section A Aims and scope Submit manuscript

Abstract

Physical processes which can be represented by symbolic differential equations involving random functions are cited and studied. The solutions of these equations are obtained using Ramakrishnan’s recent phenomenological interpretation of integrals of random functions.

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

Similar content being viewed by others

References

  1. Chandrasekhar, S.Rev. Mod. Phys., 1943,15 1.

    Article  MATH  MathSciNet  Google Scholar 

  2. — and Munch, G.Astrophys. J., 1952,115, 103.

    Article  MathSciNet  Google Scholar 

  3. Jones, R. W. and McCombie, C. W.Phil. Trans., 1952,244 A, 208.

    Google Scholar 

  4. Mathews, P. M. and Srinivasan, S. K.Proc. Nat. Inst. Sci., India, 1955 (in Press).

  5. McDonald, D. K. C.Rep. Prog. Phys., 1948–49,12, 56.

    Article  Google Scholar 

  6. Moyal, J. E.J. Roy. Statist. Soc., 1949,11 B, 150.

    MathSciNet  Google Scholar 

  7. Ramakrishnan, AlladiProc. Kon. Ned. Akad. van Wet., 1955 (in Press).

  8. —Astrophys. J., 1954a,119, 443.

    Article  MathSciNet  Google Scholar 

  9. —Ibid., 1954b,119, 682.

    Article  MathSciNet  Google Scholar 

  10. Ramakrishnan, Alladi and Srinivasan, S. K.Ibid., Astrophys. J., (in Press).

  11. Wang, Ming Chen and Uhlenbeck, G. E.Rev. Mod. Phys., 1945,17, 323.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, University of Madras, Madras, India

    P. M. Mathews & S. K. Srinivasan

Authors
  1. P. M. Mathews
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. K. Srinivasan
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

(Communicated by Dr. Alladi Ramakrishnan)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mathews, P.M., Srinivasan, S.K. Ordinary linear differential equations involving random functions. Proc. Indian Acad. Sci. 43, 4–20 (1956). https://doi.org/10.1007/BF03052627

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03052627

Keywords

Search

Navigation