vol18_pp589-599. 151KB Jun 04 2011 12:06:04 AM
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As a consequence we have studied the conjugate Hamiltonian equations for the second type of Li´enard equation which resembles the Gambier equation in certain respects and have
In the main Theorem 4.1 we show that regularity of interval matrices can be characterized in terms of determinants (Theorem 4.1, condition (xxxii)), matrix inverses (xxx),
In this paper, we will establish the above conjecture (Theorem 2.3) and also characterize all sign patterns that require eventual nonnegativity (Theorem 2.6) in terms of
The set of spectrally arbitrary sign patterns is a subset of the set of potentially stable sign patterns, and for tree sign patterns of order 4, the set of all potentially stable
Although results of Section 3 can be applied only to matrices such that their Hermitian part can be transformed into a strictly diagonally dominant matrix by means of
In this paper, we aim to study the small-scale limit of spatial-temporal random field arising from the solution of the fractional Riesz-Bessel equation and its associated system
In the case of the Potts model, the present theorem reproduces earlier results of the authors, with a simplified proof, in the case of the symmetric Ising model (where the
We study the problem of directed polymers in gaussian environments in Z d from the viewpoint of a gaussian family indexed by the set of random walk paths.. In the zero-temperature
