PageHeader : Funkcialaj Ekvacioj, 33 (1990) 79-126 Title : The Galois Theory for Linear Homogeneous Partial Differential Title : Equations of the First Order AuthorInfo : By AuthorInfo : Yoshishige HARAOKA AuthorInfo : (University of Tokyo, Japan) AuthorInfo : Dedicated to Professor Tosihusa Kimura on his 60th birthday section : Contents section : Introduction section : 1. Fundamental systems of solutions section : 2. Galois extensions section : 3. The structure of Galois groups section : 4. Normality of Galois extensions section : 5. Galois groups for reducible ordinary differential equations subsection : 5.1. Linear ordinary differential equations subsection : 5.2. Linearizable differential equations subsection : 5.3. Equations reducible to lower order ones section : References