Differential Galois Theory

  • Frits Beukers


Perhaps the easiest description of differential Galois theory is that it is about algebraic dependence relations between solutions of linear differential equations. To clarify this statement, let us consider three examples. First consider the differential equation
$$z(1-z){y}''+(\frac{1}{2}-\frac{7}{6}z){y}'+\frac{11}{3600}y = 0$$


Algebraic Group Linear Differential Equation Galois Group Linear Algebraic Group Algebraic Subgroup 
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© Springer-Verlag Berlin Heidelberg 1992

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  • Frits Beukers

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