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- W2162474310 abstract "The goal of this paper is to describe the set of polynomials r ∈ C [ x ] such that the linear differential equation y ′ ′ = r y has Liouvillian solutions, where C is an algebraically closed field of characteristic 0. It is known that the differential equation has Liouvillian solutions only if the degree of r is even. Using differential Galois theory we show that the set of such polynomials of degree 2 n can be represented by a countable set of algebraic varieties of dimension n + 1. Some properties of those algebraic varieties are proved." @default.
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- W2162474310 date "1999-10-01" @default.
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- W2162474310 title "Differential Equations of Order Two with One Singular Point" @default.
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- W2162474310 doi "https://doi.org/10.1006/jsco.1999.0312" @default.
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