Equality of two variable weighted means: reduction to differential equations
β Scribed by L. Losonczi
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 391 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0001-9054
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π SIMILAR VOLUMES
Reduction of a two-dimensional generalized Toda lattice to an ordinary differential equations system, which defines the functional dependence of Toda functions on the corresponding separable solutions, is given. It is shown, in particular, that between all the equations of the form 02 p/ax at = ~(p)
Let us consider the differential equation (1) g(z, Y) f b , Y) dY = 0 and suppose that Po(zo , yo) is a singular point ( f ( z o , yo) = g(ro , yo) = O), more precisely a saddle point, i.e., that It is well known that, in this case, there whic.h pass through the point Po and separate 0. exist two i