AbstractWe give a survey of some methods for finding formal solutions of differential equations. These include methods for finding power series solutions, elementary and liouvillian solutions, first integrals, Lie theoretic methods, transform methods, asymptotic methods. A brief discussion of difference equations is also included
It is well known that solutions of many ordinary differential equations allow presentation in the po...
The study of differential equations can be conducted quantitatively, by studying various methods for...
Abstract: Here we prove theorem on sufficient condition of convergence of whole series, wh...
AbstractWe give a survey of some methods for finding formal solutions of differential equations. The...
AbstractWe study power series whose coefficients are holomorphic functions of another complex variab...
AbstractThe topic of this paper is formal solutions of linear differential equations with formal pow...
International audienceWe present algorithms which involve both the splitting of formal series soluti...
AbstractWe obtain a necessary condition on the coefficients of a formal power series, which is a for...
An algorithm for solving linear constant-coefficient ordinary differential equations is presented. T...
The purpose of this thesis is to compile and discuss some of the methods of solution of both ordinar...
Abstract: Here is presented a proof of the theorem, which was formulated in more general f...
We consider difference equations y(s+1) = A(s)y(s), where A(s) is an n x n-matrix meromorphic in a n...
We consider difference equations y(s+1) = A(s)y(s), where A(s) is an n x n-matrix meromorphic in a n...
We consider difference equations y(s+1) = A(s)y(s), where A(s) is an n x n-matrix meromorphic in a n...
Investigating the correspondence between systems of partial differential equations and their analyti...
It is well known that solutions of many ordinary differential equations allow presentation in the po...
The study of differential equations can be conducted quantitatively, by studying various methods for...
Abstract: Here we prove theorem on sufficient condition of convergence of whole series, wh...
AbstractWe give a survey of some methods for finding formal solutions of differential equations. The...
AbstractWe study power series whose coefficients are holomorphic functions of another complex variab...
AbstractThe topic of this paper is formal solutions of linear differential equations with formal pow...
International audienceWe present algorithms which involve both the splitting of formal series soluti...
AbstractWe obtain a necessary condition on the coefficients of a formal power series, which is a for...
An algorithm for solving linear constant-coefficient ordinary differential equations is presented. T...
The purpose of this thesis is to compile and discuss some of the methods of solution of both ordinar...
Abstract: Here is presented a proof of the theorem, which was formulated in more general f...
We consider difference equations y(s+1) = A(s)y(s), where A(s) is an n x n-matrix meromorphic in a n...
We consider difference equations y(s+1) = A(s)y(s), where A(s) is an n x n-matrix meromorphic in a n...
We consider difference equations y(s+1) = A(s)y(s), where A(s) is an n x n-matrix meromorphic in a n...
Investigating the correspondence between systems of partial differential equations and their analyti...
It is well known that solutions of many ordinary differential equations allow presentation in the po...
The study of differential equations can be conducted quantitatively, by studying various methods for...
Abstract: Here we prove theorem on sufficient condition of convergence of whole series, wh...
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