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Irreducible Linear Differential Equations of Prime Order
 J. Symb. Comp
, 1995
"... this paper we consider linear differential equations of the form ..."
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Cited by 8 (5 self)
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this paper we consider linear differential equations of the form
Reversible linear differential equations
, 805
"... Let ∇ be a meromorphic connection on a vector bundle over a compact Riemann surface Γ. An automorphism σ: Γ → Γ is called a symmetry of ∇ if the pullback bundle and the pullback connection can be identified with ∇. We study the symmetries by means of what we call the Fano Group; and, under the hyp ..."
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Cited by 1 (0 self)
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the hypothesis that ∇ has a unimodular reductive Galois group, we relate the differential Galois group, the Fano group and the symmetries by means of an exact sequence. 1
1 LINEAR DIFFERENTIAL EQUATIONS
"... In this chapter we discuss linear ordinary differentia! equations. For the 1110st part we will not find it necessary to assume that these equation~.; arc also time invariant, although this is an important special casco '0/t are interested in exposing the structure of the solutions and, to a les ..."
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In this chapter we discuss linear ordinary differentia! equations. For the 1110st part we will not find it necessary to assume that these equation~.; arc also time invariant, although this is an important special casco '0/t are interested in exposing the structure of the solutions and, to a
Solving linear differential equations
, 2007
"... The theme of this paper is to ‘solve’ an absolutely irreducible differential module explicitly in terms of modules of lower dimension and finite extensions of the differential field K. Representations of semisimple Lie algebras and differential Galois theory are the main tools. The results extend t ..."
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The theme of this paper is to ‘solve’ an absolutely irreducible differential module explicitly in terms of modules of lower dimension and finite extensions of the differential field K. Representations of semisimple Lie algebras and differential Galois theory are the main tools. The results extend
Linear Differential Equations In Exponential Extensions
"... We present an algorithm to compute rational solutions of linear dierential equations with coecients in exponential extensions of monomial extensions of a base eld. We focus on the system of generators describing the extension and show why some of the generators sets are more \suitable" tha ..."
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" than others. This results partially improves and generalizes the method presented in [Sin91] to nd liouvillian solutions of linear differential equations with coecients in liouvillian extension of C(x).
An Oscillatory HalfLinear Differential Equation
, 1997
"... . A secondorder halflinear ordinary differential equation of the type (1) (jy 0 j ff\Gamma1 y 0 ) 0 + ffq(t)jyj ff\Gamma1 y = 0 is considered on an unbounded interval. A simple oscillation condition for (1) is given in such a way that an explicit asymptotic formula for the distribution of ..."
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. A secondorder halflinear ordinary differential equation of the type (1) (jy 0 j ff\Gamma1 y 0 ) 0 + ffq(t)jyj ff\Gamma1 y = 0 is considered on an unbounded interval. A simple oscillation condition for (1) is given in such a way that an explicit asymptotic formula for the distribution
On the maximally overdetermined system of linear differential equations
 I. Publ. R.I.M.S., Kyoto Univ
, 1975
"... The purpose of this paper is to present finiteness theorems and several properties of cohomologies of holomorphic solution sheaves of maximally overdetermined systems of linear differential equations. The proof relies on the finiteness theorem for elliptic systems due to T. Kawai [4], as an ..."
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Cited by 23 (4 self)
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The purpose of this paper is to present finiteness theorems and several properties of cohomologies of holomorphic solution sheaves of maximally overdetermined systems of linear differential equations. The proof relies on the finiteness theorem for elliptic systems due to T. Kawai [4], as an
TRANSFORMATIONS OF LINEAR DIFFERENTIAL EQUATIONS OF SECOND ORDER AND ADJOINED NONLINEAR EQUATIONS
"... Transformations of linear differential equations of second order and adjoined nonlinear equations ..."
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Transformations of linear differential equations of second order and adjoined nonlinear equations
LIMIT BEHAVIOR OF SOLUTIONS OF ORDINARY LINEAR DIFFERENTIAL EQUATIONS
"... Abstract. A classification of classes of equivalent linear differential equations with respect to ωlimit sets of their canonical representatives is introduced. Some consequences of this classification to the oscillatory behavior of solution spaces are presented. 1. ..."
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Abstract. A classification of classes of equivalent linear differential equations with respect to ωlimit sets of their canonical representatives is introduced. Some consequences of this classification to the oscillatory behavior of solution spaces are presented. 1.
SPECTRAL CHARACTERIZATION OF SOLUTIONS TO SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS
"... Abstract. A spectral characterization of solutions of abstract linear differential equation systems is given. The characterization is in terms of the spectrum of a related continuous selfadjoint linear operator. 1. ..."
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Abstract. A spectral characterization of solutions of abstract linear differential equation systems is given. The characterization is in terms of the spectrum of a related continuous selfadjoint linear operator. 1.
Results 1  10
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2,369,698