Construction of algebraic-differential equations with given smooth and impulsive behaviour

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnt041 ◽

2013 ◽

Vol 32 (1) ◽

pp. 195-224 ◽

Author(s):

N. P. Karampetakis

Keyword(s):

Differential Equations ◽

Algebraic Differential Equations ◽

Impulsive Behaviour

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Finite-Order Entire Solutions of a Class of Algebraic Differential Equations

Differential Equations ◽

10.1134/s00122661200100043 ◽

2020 ◽

Vol 56 (10) ◽

pp. 1285-1289

Author(s):

V. A. Podkopaeva ◽

A. Ya. Yanchenko

Keyword(s):

Differential Equations ◽

Finite Order ◽

Entire Solutions ◽

Algebraic Differential Equations

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Algebraic Differential Equations for Entire Holomorphic Curves in Projective Hypersurfaces of General Type: Optimal Lower Degree Bound

Geometry and Analysis on Manifolds - Progress in Mathematics ◽

10.1007/978-3-319-11523-8_4 ◽

2015 ◽

pp. 41-142 ◽

Author(s):

Joël Merker

Keyword(s):

Differential Equations ◽

General Type ◽

Lower Degree ◽

Holomorphic Curves ◽

Algebraic Differential Equations ◽

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Algebraic differential equations with functional coefficients concerning ζ and Γ

Journal of Differential Equations ◽

10.1016/j.jde.2015.09.035 ◽

2016 ◽

Vol 260 (2) ◽

pp. 1456-1464 ◽

Author(s):

Bao Qin Li ◽

Zhuan Ye

Keyword(s):

Differential Equations ◽

Algebraic Differential Equations

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On certain solutions of algebraic differential equations

Analytic Theory of Differential Equations - Lecture Notes in Mathematics ◽

10.1007/bfb0060416 ◽

1971 ◽

pp. 165-169 ◽

Author(s):

Steven Bank

Keyword(s):

Differential Equations ◽

Algebraic Differential Equations

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On majorants for solutions of algebraic differential equations in regions of the complex plane

Pacific Journal of Mathematics ◽

10.2140/pjm.1969.31.573 ◽

1969 ◽

Vol 31 (3) ◽

pp. 573-582 ◽

Author(s):

Steven Bank

Keyword(s):

Differential Equations ◽

Complex Plane ◽

Algebraic Differential Equations

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Homogeneous, isobaric, and autonomous algebraic differential equations

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(91)90294-a ◽

1991 ◽

Vol 160 (1) ◽

pp. 123-131

Author(s):

Alan Horwitz

Keyword(s):

Differential Equations ◽

Algebraic Differential Equations

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On the number of meromorphic solutions of some first order algebraic differential equations

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(92)90209-v ◽

1992 ◽

Vol 167 (2) ◽

pp. 316-321 ◽

Author(s):

Yuan Wenjun

Keyword(s):

Differential Equations ◽

Meromorphic Solutions ◽

Algebraic Differential Equations ◽

First Order ◽

Order Algebraic

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A remark on the growth of solutions of first order algebraic differential equations

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1980-0556622-8 ◽

1980 ◽

Vol 78 (4) ◽

pp. 509-509 ◽

Author(s):

Sh. Strelitz

Keyword(s):

Differential Equations ◽

Algebraic Differential Equations ◽

First Order ◽

Order Algebraic ◽

Growth Of Solutions

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Chapter 13 Algebraic differential equations of arbitrary order

Nevanlinna Theory and Complex Differential Equations ◽

10.1515/9783110863147.257 ◽

1993 ◽

Keyword(s):

Differential Equations ◽

Arbitrary Order ◽

Algebraic Differential Equations

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Generalized Solutions of Autonomous Algebraic Differential Equations

Canadian Mathematical Bulletin ◽

10.4153/cmb-1986-057-1 ◽

1986 ◽

Vol 29 (3) ◽

pp. 372-374 ◽

Author(s):

Lee A. Rubel

Keyword(s):

Differential Equations ◽

Generalized Solutions ◽

Algebraic Differential Equations

AbstractIn an earlier paper, the author introduced the notions of N-solutions and IN-solutions of algebraic differential equations (ADE's). Here it is shown, in contradistinction to the situation for Cn solutions, that every N-solution of an ADE is an N-solution of an autonomous ADE. The corresponding result also holds for IN-solutions.

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