sigma07-041. 335KB Jun 04 2011 12:10:02 AM
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In the study of the combinatorially symmetric TN completion problem [JKL], it is shown that for every partial TN matrix with specified entries corresponding to a monotonically
3) Contrary to other methods for integrating of Hamilton equations, and notably the method of Lax pairs, the bihamiltonian setting herewith briefly sketched provides, on
At a time when activity in the study of elliptic functions was most intense, Halphen, Hermite and Lam´e (among many others) obtained deep results in the spectral theory of lin-
In the subsequent sections we apply the basic definition to the following partial differential equations and systems: nonlinear Poisson equations, p-Laplace equations,
We make use of a general method for solving linear differential equations of arbitrary order to construct new representations for the solutions of the known second order
As Vadim pointed out later [ 43 ] (Kowalevski top revisited, 2002), until then there was only one separation of variables known for this problem following from original
Quantization method for the Friedmann–Lemaˆıtre Universe based on the canonical Hamilton equations of motion is proposed and quantum information theory way to physics of the Universe
As for the Schwarzschild metric, where there is a difference between the conservation laws obtained for the system of geodesic equations and for the single orbital equation,
