Completely integrable holonomic systems of first-order differential equations
نویسندگان
چکیده
منابع مشابه
Completely Integrable Differential Systems Are Essentially Linear
Let ẋ = f(x) be a C autonomous differential system with k ∈ N ∪ {∞, ω} defined in an open subset Ω of R. Assume that the system ẋ = f(x) is C completely integrable, i.e. there exist n−1 functionally independent first integrals of class C with 2 ≤ r ≤ k. If the divergence of system ẋ = f(x) is non–identically zero, then any Jacobian multiplier is functionally independent of the n − 1 first integ...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
سال: 1995
ISSN: 0308-2105,1473-7124
DOI: 10.1017/s0308210500032686