Skip to main content
Log in

Asymptotic decomposition of systems of linear differential equations having poles with respect to a parameter

  • Published:
Rendiconti del Circolo Matematico di Palermo 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.

Bibliography

  1. M. Iwano,Convergent solutions of a system of ordinary nonlinear differential equations containing a small parameter, Comment. Math. Univ. St. Paul 10 (1961), 27–56.

    MATH  MathSciNet  Google Scholar 

  2. E. Rang,Periodic solutions of singular perturbation problems, Intern. Sympos. on Nonlinear Differential Equations, Academic Press (1963), 377–383.

  3. J. F. Ritt,On the derivatives of a function at a point, Ann. of Math. 18 (1916), 18–23.

    Article  MathSciNet  Google Scholar 

  4. Y. Sibuya,Sur réduction analytique d'un système d'équations différentielles ordinaires linéaires contenant un paramètre, J. Fac. Science, Univ. Tokyo (1) 7 (1958), 527–540.

    MathSciNet  Google Scholar 

  5. Y. Sibuya,Asymptotic solution of initial value problems of ordinary differential equations with a small parameter in the derivative I, Arch. Rat. Mech. Anal. 14 (1963), 61–80.

    Article  MathSciNet  Google Scholar 

  6. W. Wasow,Asymptotic expansions for ordinary differential equations: Trends and problems, Asymptotic Solutions of Differential Equations and their Applications, J. Wiley and Sons, New York (1964), 3–26.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Prepared under N. S. F. Grant No. GP-2159.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wasow, W. Asymptotic decomposition of systems of linear differential equations having poles with respect to a parameter. Rend. Circ. Mat. Palermo 13, 329–344 (1964). https://doi.org/10.1007/BF02849459

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02849459

Keywords

Navigation