Results 1 to 10 of about 190 (139)
Operational Quadrature Methods for Wiener-Hopf Integral Equations [PDF]
Mathematics of Computation, 1993 We study the numerical solution of Wiener-Hopf integral equations by a class of quadrature methods which lead to discrete Wiener-Hopf equations, with quadrature weights constructed from the Fourier transform of the kernel (or rather, from the Laplace transforms of the kernel halves).
Eggermont, P. P. B., Lubich, Ch.
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A Generalization of the Wiener-Hopf Integral Equation [PDF]
Proceedings of the National Academy of Sciences, 1946 Not ...
Heins, Albert E., Wiener, Norbert
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Iterative solutions of Wiener-Hopf integral equations [PDF]
Quarterly of Applied Mathematics, 1963 A method of iteration is used to study integral equations of the Wiener-Hopf type. In the case of a single integral equation, it is found that the iterative solution can be summed to give the known results. In the case of two coupled integral equations, where the general solution is not known, the iterative solution can be reduced to expressions in ...
Wu, Tai Te, Wu, Tai Tsun
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Solvability of an Integral Equation of Volterra-Wiener-Hopf Type [PDF]
Abstract and Applied Analysis, 2014 The paper presents results concerning the solvability of a nonlinear integral equation of Volterra-Stieltjes type. We show that under some assumptions that equation has a continuous and bounded solution defined on the interval0,∞and having a finite limit at infinity. As a special case of the mentioned integral equation we obtain an integral equation of
Nurgali K. Ashirbayev +2 more
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The Wiener-Hopf integral equation for fractional Riesz-Bessel motion [PDF]
The ANZIAM Journal, 2000 AbstractThis paper gives an approximate solution to the Wiener-Hopf integral equation for filtering fractional Riesz-Bessel motion. This is obtained by showing that the corresponding covariance operator of the integral equation is a continuous isomorphism between appropriate fractional Sobolev spaces.
Anh, V. V. +3 more
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On a Wiener-Hopf Integral Equation
Journal of Integral Equations and Applications, 1995 The author considers the following problem: determine the positive sequence \(\{E_n\}\) satisfying the infinite discrete system \[ \sin \left( {\pi \over 4} + \theta \right) \sum_{n = 0}^\infty {E_n \over \beta_n - \theta} + \sin \left( {\pi \over 4} - \theta \right) \sum^\infty_{n = 0} {E_n \over \beta_n + \theta} = \sqrt 2 {\sin \theta \over \theta} \
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Distributional Solutions of the Wiener-Hopf Integral and Integro-differential Equations
Journal of Integral Equations and Applications, 1991 The authors study Wiener-Hopf integral and integro-differential equations in spaces of distributions. They identify a class of kernels for which these equations are of Fredholm type. Applications are also given.
Estrada, R., Kanwal, R.P.
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New convolutions and their applicability to integral equations of Wiener‐Hopf plus Hankel type [PDF]
Mathematical Methods in the Applied Sciences, 2020 Algebraic sums of Wiener-Hopf and Hankel operators have received attention in the last years, cf. [\textit{L. P. Castro} et al., Math. Nachr. 269--270, 73--85 (2004; Zbl 1082.47024); \textit{N. Karapetiants} and \textit{S. Samko}, Equations with involutive operators.
Luis P. Castro +2 more
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Wiener–Hopf Difference Equations and Semi-Cardinal Interpolation with Integrable Convolution Kernels
Constructive Approximation, 2023 AbstractLet$$H\subset {\mathbb {Z}}^d$$H⊂Zdbe a half-space lattice, defined either relative to a fixed coordinate (e.g.$$H = {\mathbb {Z}}^{d-1}\!\times \!{\mathbb {Z}}_+$$H=Zd-1×Z+), or relative to a linear order$$\preceq $$⪯on$${\mathbb {Z}}^d$$Zd, i.e.$$H = \{j\in {\mathbb {Z}}^d: 0\preceq j\}$$H={j∈Zd:0⪯j}.
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An indicator for Wiener-Hopf integral equations with invertible analytic symbol [PDF]
Integral Equations and Operator Theory, 1983 For Wiener-Hopf integral equations with an operator or matrix valued kernel and with an invertible symbol which is analytic on the real line and at infinity an indicator is introduced. In general this indicator is a bounded linear operator, but when the kernel is matrix valued and the symbol is rational it is a (possibly non-square) matrix.
Bart, H., Kroon, L.G.
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