An existence theorem for solutions of second order non-linear ordinary differential equations in the complex domain
Steven Bank (1968)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “An existence theorem for certain solutions of algebraic differential equations in sectors”
An existence theorem for solutions of second order non-linear ordinary differential equations in the complex domain
On oscillation, continuation, and asymptotic expansions of solutions of linear differential equations
Steven B. Bank (1991)
Rendiconti del Seminario Matematico della Università di Padova
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On the location of zeros of solutions of non-homogeneous linear differential equations
Steven B. Bank (1994)
Rendiconti del Seminario Matematico della Università di Padova
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Growth orders occurring in expansions of Hardy-field solutions of algebraic differential equations
John Shackell (1995)
Annales de l'institut Fourier
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We consider the asymptotic growth of Hardy-field solutions of algebraic differential equations, e.g. solutions with no oscillatory component, and prove that no ‘sub-term’ occurring in a nested expansion of such can tend to zero more rapidly than a fixed rate depending on the order of the differential equation. We also consider series expansions. An example of the results obtained may be stated as follows. Let be an element of a Hardy field which has an asymptotic series...
A result concerning meromorphic solutions in the unit disk of algebraic differential equations
Steven Bank (1970)
Compositio Mathematica
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Liouville-Gelfand type problems for the -laplacian on bounded domains of
Elves A. de B. Silva, Sérgio H. M. Soares (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Asymptotic values and the growth of analytic functions in spiral domains.
James E. Brennan, Alexander L. Volberg (1993)
Publicacions Matemàtiques
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In this note we present a simple proof of a theorem of Hornblower which characterizes those functions analytic in the open unit disk having asymptotic values at a dense set in the boundary. Our method is based on a kind of ∂-mollification and may be of use in other problems as well.
Remarks on the arithmetic properties of the values of hypergeometric functions
F. Beukers, K. Väänänen, T. Matala-Aho (1983)
Acta Arithmetica
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