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Non-transposed three-phase line analyses with a single real transformation matrix
(2005-10-31)
In transmission line transient analyses, a single real transformation matrix can obtain exact modes when the analyzed line is transposed. For non-transposed lines, the results are not exact. In this paper, non-symmetrical ...
Non-transposed three-phase line analyses with a single real transformation matrix
(2005-10-31)
In transmission line transient analyses, a single real transformation matrix can obtain exact modes when the analyzed line is transposed. For non-transposed lines, the results are not exact. In this paper, non-symmetrical ...
Uniform stability of the ball with respect to the first Dirichlet and Neumann infinity-eigenvalues
(Texas State University, Department of Mathematics, 2018-01)
In this note we analyze how perturbations of a ball Br ⊂ Rn behaves in terms of their first (non-trivial) Neumann and Dirichlet ∞−eigenvalues when a volume constraint Ln(Ω) = Ln(Br) is imposed. Our main result states that ...
The limit as p→ ∞ in the eigenvalue problem for a system of p-Laplacians
(Springer Heidelberg, 2016-10)
In this paper, we study the behavior as p→ ∞ of eigenvalues and eigenfunctions of a system of p-Laplacians, that is (Formula presented.) in a bounded smooth domain Ω. Here α+ β= p. We assume that α/p→Γ and β/p→1-Γ as p→ ∞ ...
Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x 2 y 2
(Versita, 2014-04)
We obtain sufficiently accurate eigenvalues and eigenfunctions for the anharmonic oscillator with potential V(x, y) = x 2 y 2 by means of three different methods. Our results strongly suggest that the spectrum of this ...