Results 11 to 20 of about 488 (51)
Nonuniformly Loaded Stack of Antiplane Shear Cracks in One‐Dimensional Piezoelectric Quasicrystals
Advances in Materials Science and Engineering, Volume 2018, Issue 1, 2018., 2018 Representations in a closed form are derived, using an extension to the method of dislocation layers, for the phonon and phason stress and electric displacement components in the deformation of one‐dimensional piezoelectric quasicrystals by a nonuniformly loaded stack of parallel antiplane shear cracks.
G. E. Tupholme, Zhiping Luo
wiley +1 more source
The Neumann problem for the 2‐D Helmholtz equation in a domain, bounded by closed and open curves
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 209-216, 1998., 1997 The Neumann problem for the dissipative Helmholtz equation in a connected plane region bounded by closed and open curves is studied. The existence of classical solution is proved by potential theory. The problem is reduced to the Fredholm equation of the second kind, which is uniquely solvable. Our approach holds for both internal and external domains.
P. A. Krutitskii
wiley +1 more source
On the approximate solution of nonlinear singular integral equations with positive index
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 389-396, 1996., 1994 This paper is devoted to investigating a class of nonlinear singular integral equations with a positive index on a simple closed smooth Jordan curve by the collocation method. Sufficient conditions are given for the convergence of this method in Holder space.
S. M. Amer
wiley +1 more source
Markov chains with quasitoeplitz transition matrix
International Journal of Stochastic Analysis, Volume 2, Issue 1, Page 71-82, 1989., 1989 This paper investigates a class of Markov chains which are frequently encountered in various applications (e.g. queueing systems, dams and inventories) with feedback. Generating functions of transient and steady state probabilities are found by solving a special Riemann boundary value problem on the unit circle. A criterion of ergodicity is established.
Alexander M. Dukhovny
wiley +1 more source
Direct Scattering for the Benjamin-Ono Equation with Rational Initial Data [PDF]
, 2015 We compute the scattering data of the Benjamin-Ono equation for arbitrary rational initial conditions with simple poles. Specifically, we obtain explicit formulas for the Jost solutions and eigenfunctions of the associated spectral problem, yielding an ...
Miller, Peter D., Wetzel, Alfredo N.
core +1 more source
Uniqueness of the minimum of the free energy of the 2D Yang-Mills theory at large N
, 1997 There has been some controversies at the large $N$ behaviour of the 2D Yang-Mills and chiral 2D Yang-Mills theories. To be more specific, is there a one parameter family of minima of the free energy in the strong region, or the minimum is unique. We show
A. AGHAMOHAMMADI +5 more
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Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case [PDF]
, 2015 By means of Riemann boundary value problems and of certain convenient systems of linear algebraic equations, this paper deals with the solvability of a class of singular integral equations with rotations and degenerate kernel within the case of a ...
Chuan L. H. +23 more
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Multidimensional Inverse Scattering of Integrable Lattice Equations
, 2012 We present a discrete inverse scattering transform for all ABS equations excluding Q4. The nonlinear partial difference equations presented in the ABS hierarchy represent a comprehensive class of scalar affine-linear lattice equations which possess the ...
Ablowitz M J +11 more
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Power series approximations for two-class generalized processor sharing systems [PDF]
, 2010 We develop power series approximations for a discrete-time queueing system with two parallel queues and one processor. If both queues are nonempty, a customer of queue 1 is served with probability beta, and a customer of queue 2 is served with ...
Boxma, Onno +2 more
core +3 more sources
Eigenvalue correlations on Hyperelliptic Riemann surfaces
, 2002 In this note we compute the functional derivative of the induced charge density, on a thin conductor, consisting of the union of g+1 disjoint intervals, $J:=\cup_{j=1}^{g+1}(a_j,b_j),$ with respect to an external potential.
Baker H F +9 more
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