Generic singularities of implicit systems of first order differential equations on the plane
نویسندگان
چکیده
منابع مشابه
Generic singularities of implicit systems of first order differential equations on the plane
For the implicit systems of first order ordinary differential equations on the plane there is presented the complete local classification of generic singularities of family of its phase curves up to smooth orbital equivalence. Besides the well known singularities of generic vector fields on the plane and the singularities described by a generic first order implicit differential equations, there...
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On Singularities of Autonomous Implicit Ordinary Differential Equations
Implicit ordinary differential equations ( ) _ = ( ) with ( ) being an matrix depending on are investigated about their singular points, i.e., inconsistent points in the closure of the set of consistent points. Sufficient conditions are given that ensure that around such points, the above differential equation can be diffeomorphically transformed into the normal form 1 _1 = 1, _2 = 0 . . . _ = ...
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The aim of this paper is to investigate the Hyers-Ulam stability of the linear differential equation$$y''(x)+alpha y'(x)+beta y(x)=f(x)$$in general case, where $yin C^2[a,b],$ $fin C[a,b]$ and $-infty
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ژورنال
عنوان ژورنال: Japanese Journal of Mathematics
سال: 2008
ISSN: 0289-2316,1861-3624
DOI: 10.1007/s11537-008-0664-4