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Differential equations with singular fields

โœ Scribed by Pierre-Emmanuel Jabin

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
242 KB
Volume
94
Category
Article
ISSN
0021-7824

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The goal of this paper is to describe the set of polynomials r โˆˆ C[x] such that the linear differential equation y = ry 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

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The existence of positive solutions of a second order differential equation of the form z"+ g(t) f (z)=0 (1.1) with suitable boundary conditions has proved to be important in theory and applications whether g is continuous in [0, 1] or g has singularities. These equations often arise in the study