Author: Masuo FukuharaPublisher:
ISBN:
Category : Differential equations
Languages : fr
Pages : 88
Book Description
Sur les points singuliers des équations différentielles linéaires
Author: Masuo FukuharaPublisher:
ISBN:
Category : Differential equations
Languages : fr
Pages : 88
Book Description
Contribution à l'étude des points singuliers des systèmes différentiels linéaires
Author: Abdelaziz HilaliPublisher:
ISBN:
Category :
Languages : fr
Pages : 159
Book Description
Dans la résolution des équations différentielles au voisinage d'un point singulier, nous sommes amenés à étudier la nature de cette singularité (régulière ou irrégulière). Pour une équation différentielle scalaire ceci est possible, tandis que pour un système, un critère simple n'est pas connu. Ce système sera toujours écrit : X**(p).Y'(x) = A(x)Y(x), A appartient a mu ::(n,n)(c((x))); si p=1, la singularité est régulière, mais cela est également possible lorsque p>1; c'est la source des problèmes que nous présentons dans ce travail : un algorithme de réduction d'un système différentiel a une équation (méthode de Birkhoff Copé); notion de vecteur cyclique; un algorithme permettant la réductibilité d'un système différentiel sous une forme irréductible et caractérisant les systèmes différentiels à singularité régulière; solutions formelles des systèmes différentiels au voisinage des points singuliers réguliers.
Equations Differentielles a Points Singuliers Reguliers
Author: Pierre DelignePublisher: Springer
ISBN: 3540363734
Category : Mathematics
Languages : fr
Pages : 137
Book Description
Points singuliers des équations différentielles
Author: Henri DulacPublisher: FeniXX
ISBN: 2706239875
Category : Science
Languages : fr
Pages : 80
Book Description
Cet ouvrage est une réédition numérique d’un livre paru au XXe siècle, désormais indisponible dans son format d’origine.
Recherches sur les points singuliers des équations différentielles
Author: Henri DulacPublisher:
ISBN:
Category : Differential equations
Languages : fr
Pages : 150
Book Description
Analytic Theory of Differential Equations
Author: P. F. HsiehPublisher: Springer
ISBN: 3540364544
Category : Mathematics
Languages : en
Pages : 234
Book Description
Indices mesurant l'irrégularité aux points singuliers des équations différentielles linéaires
Author: Alain DabecheGlobal Analysis in Linear Differential Equations
Author: M. KohnoPublisher: Springer Science & Business Media
ISBN: 9401146055
Category : Mathematics
Languages : en
Pages : 539
Book Description
Since the initiative works for global analysis of linear differential equations by G.G. Stokes and B. Riemann in 1857, the Airy function and the Gauss hypergeometric function became the most important and the greatest practical special functions, which have a variety of applications to mathematical science, physics and engineering. The cffcctivity of these functions is essentially due to their "behavior in the large" . For instance, the Airy function plays a basic role in the asymptotic analysis of many functions arising as solutions of differential equations in several problems of applied math ematics. In case of the employment of its behavior, one should always pay attention to the Stokes phenomenon. On the other hand, as is well-known, the Gauss hypergeometric function arises in all fields of mathematics, e.g., in number theory, in the theory of groups and in analysis itself. It is not too much to say that all power series are special or extended cases of the hypergeometric series. For the full use of its properties, one needs connection formulas or contiguous relations.
Basic Theory of Ordinary Differential Equations
Author: Po-Fang HsiehPublisher: Springer Science & Business Media
ISBN: 1461215064
Category : Mathematics
Languages : en
Pages : 480
Book Description
Providing readers with the very basic knowledge necessary to begin research on differential equations with professional ability, the selection of topics here covers the methods and results that are applicable in a variety of different fields. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear differential equations, while the third deals with nonlinear equations. In the last part the authors write about the basic results concerning power series solutions. Each chapter begins with a brief discussion of its contents and history, and hints and comments for many problems are given throughout. With 114 illustrations and 206 exercises, the book is suitable for a one-year graduate course, as well as a reference book for research mathematicians.
Author: