An existence theorem for certain solutions of algebraic differential equations in sectors

Steven B. Bank

Rendiconti del Seminario Matematico della Università di Padova (1974)

  • Volume: 51, page 67-81
  • ISSN: 0041-8994

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Bank, Steven B.. "An existence theorem for certain solutions of algebraic differential equations in sectors." Rendiconti del Seminario Matematico della Università di Padova 51 (1974): 67-81. <http://eudml.org/doc/107517>.

@article{Bank1974,
author = {Bank, Steven B.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {67-81},
publisher = {Seminario Matematico of the University of Padua},
title = {An existence theorem for certain solutions of algebraic differential equations in sectors},
url = {http://eudml.org/doc/107517},
volume = {51},
year = {1974},
}

TY - JOUR
AU - Bank, Steven B.
TI - An existence theorem for certain solutions of algebraic differential equations in sectors
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1974
PB - Seminario Matematico of the University of Padua
VL - 51
SP - 67
EP - 81
LA - eng
UR - http://eudml.org/doc/107517
ER -

References

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  1. [1] S. Bank, On solution having large rate of growth for nonlinear differen, tial equations in the complex domain, J. Math. Anal. Appl., 22 (1968)-pp. 129-143. Zbl0155.12504MR252728
  2. [2] S. Bank, On the instability theory of differential polynomials, Ann. Mat. Pura AppL, 74 (1966), pp. 83-111. Zbl0149.29702MR204785
  3. [3] S. Bank, On the asymptotic representation of analytic solutions of first order algebraic differential equations in sectors, Trans. Amer. Math. Soc, 176 (1973) 263-283. Zbl0271.34012MR320461
  4. [4 ] E.W. Chamberlain, Families of principal solutions of ordinary differential equations, Trans. Amer. Math. Soc., 107 (1963), pp. 261-272. Zbl0121.07201MR148974
  5. [5] W. Strodt, Contributions to the asymptotic theory of ordinary differential equations in the complex domain, Mem. Amer. Math. Soc., no. 13 (1954). Zbl0059.07701MR67290
  6. [6] W. Strodt, On the algebraic closure of certain partially ordered fields, Trans. Amer. Math. Soc., 105 (1962), pp. 229-250. Zbl0113.03301MR140514
  7. [7] W. Strodt - R. K. WRIGHT, Asymptotic behavior of solutions and adjunction fields for nonlinear first-order differential equations, Mem. Amer. Math. Soc., no. 109 (1971). Zbl0235.34005MR284660

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