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

Rendiconti del Seminario Matematico della Università di Padova (1974)

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

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topBank, 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

top- [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] S. Bank, On the instability theory of differential polynomials, Ann. Mat. Pura AppL, 74 (1966), pp. 83-111. Zbl0149.29702MR204785
- [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 ] E.W. Chamberlain, Families of principal solutions of ordinary differential equations, Trans. Amer. Math. Soc., 107 (1963), pp. 261-272. Zbl0121.07201MR148974
- [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] W. Strodt, On the algebraic closure of certain partially ordered fields, Trans. Amer. Math. Soc., 105 (1962), pp. 229-250. Zbl0113.03301MR140514
- [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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