Unfolded singularities of analytic differential equations

BERNFELD, A nonlinear variation of constants method for integro-differential and integral equations, Appl. LORD, The method of nonlinear variation of constants for

(For the general theory, see the book by Godement, “Topologie alg´ebrique et th´eorie des faisceaux; the book of Ahlfors uses a less flexible presentation, resting on

– For linear q-difference equations ( |q| 6= 1), taking account of preceding results due to Birkhoff [4], the second author [37] and van der Put-Reversat [23] in the

I n the present paper, we consider a more general situation in which the differential equation is not restricted to be linear and use different methods. The

Polynomials of one variable with their zeros as parameters We shall first study properties of fundamental solutions of ordinary dif- ferential operators whose corresponding

- The theme of this paper is rationality, field of definition and descent for linear differential equations over some differential field.. The results extend and supplement

Algebraic Study of Systems of Partial Differential Equations, Societe Mathematique de France, Memoire 63, Supplement au Bulletin de la SMF, tome 123, 1995, fascicule 4. BULLETIN DE

On the other hand, in the case of single differential equa- tions with variable coefficients, KANEKO (cf. survey report [Kni], [Kn2]) proved, by a different method, a theorem on