An existence theorem for solutions of n -th order nonlinear differential equations in the complex domain

Charles Powder

Rendiconti del Seminario Matematico della Università di Padova (1979)

  • Volume: 61, page 61-90
  • ISSN: 0041-8994

How to cite

top

Powder, Charles. "An existence theorem for solutions of $n$-th order nonlinear differential equations in the complex domain." Rendiconti del Seminario Matematico della Università di Padova 61 (1979): 61-90. <http://eudml.org/doc/107735>.

@article{Powder1979,
author = {Powder, Charles},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {existence theorem; n-th order nonlinear differential equations in the complex domain},
language = {eng},
pages = {61-90},
publisher = {Seminario Matematico of the University of Padua},
title = {An existence theorem for solutions of $n$-th order nonlinear differential equations in the complex domain},
url = {http://eudml.org/doc/107735},
volume = {61},
year = {1979},
}

TY - JOUR
AU - Powder, Charles
TI - An existence theorem for solutions of $n$-th order nonlinear differential equations in the complex domain
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1979
PB - Seminario Matematico of the University of Padua
VL - 61
SP - 61
EP - 90
LA - eng
KW - existence theorem; n-th order nonlinear differential equations in the complex domain
UR - http://eudml.org/doc/107735
ER -

References

top
  1. [1] S. Bank, An asymptotic analog of the Fuchs regularity theorem, J. Math. Anal. Appl., 16 (1966), pp. 138-151. Zbl0173.33703MR212242
  2. [2] S. Bank, On the instability theory of differential polynomials, Ann. Mat. Pura Appl., 74 (1966), pp. 83-112. Zbl0149.29702MR204785
  3. [3] S. Bank, On the asymptotic behavior of solutions near an irregular singularity, Proc. Amer. Math. Soc., 18 (1967), pp. 15-21. Zbl0219.34040MR212243
  4. [4] S. Bank, On solutions having large rate of growth for nonlinear differential equations in the complex domain, J. Math. Anal. Appl., 22 (1968), pp. 129-143. Zbl0155.12504MR252728
  5. [5] S. Bank, An existence theorem for solutions of second order nonlinear ordinary differential equations in the complex domain, Rend. Sem. Mat. Univ. Padova, 41 (1968), pp. 276-299. Zbl0187.33401MR251283
  6. [6] E.W. Chamberlain, Families of principal solutions of ordinary differential equations, Trans. Amer. Math. Soc., 107 (1963), pp. 261-272. Zbl0121.07201MR148974
  7. [7] W. Strodt, Contributions to the asymptotic theory of ordinary differential equations in the complex domain, Mem. Amer. Math. Soc., no. 13 (1954), 81 pp. Zbl0059.07701MR67290
  8. [8] W. Strodt, Principal solutions of ordinary differential equations in the complex domain, Mem. Amer. Math. Soc., no. 26 (1957), 107 pp. Zbl0101.30003MR92901
  9. [9] W. Strodt, On the algebraic closure of certain partially ordered fields, Trans. Amer. Math. Soc., 105 (1962), pp. 229-250. Zbl0113.03301MR140514

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.