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Acoustic scattering and mode interaction in bifurcated circular waveguide structures with reacting liners and discontinuities. [PDF]

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Alkuhayli N, Yaseen A, Nawaz R, Alahmadi H.   +3 more
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Asymptotic expansions for Wiener–Hopf equations

Analysis and Applications, 2020
Wiener–Hopf Equations are of the form [Formula: see text] These equations arise in many physical problems such as radiative transport theory, reflection of an electromagnetive plane wave, sound wave transmission from a tube, and in material science. They are also known as the renewal equations on the half-line in Probability Theory.
Li, Kui, Wong, Roderick
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Simultaneous Wiener–Hopf equations

Canadian Journal of Physics, 1980
In Noble's book The Wiener Hopf Technique, Pergamon, 1958, he considers the coupled system of Wiener–Hopf equations (§4.4, pp. 153–154)[Formula: see text]He shows that provided the functions L(α), M(α), Q(α), and R(α) have only simple pole singularities the solution can be reduced to two sets of infinite simultaneous linear algebraic equations.
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Wiener‐Hopf Equation Revisited

Kybernetes, 1994
Discusses a class of integral equations known as the famous Wiener‐Hopf equation which has interesting practical applications in stochastic systems like queues, network queues or water reservoir systems.
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On Wiener-Hopf equations

Annals of Physics, 1957
Abstract A method due to Ambarzumian and Chandrasekhar is generalized to apply to a large class of integral equations of the Wiener-Hopf type. There seem to be two main advantages of the method: (a) many properties of solutions can be obtained in an elementary way; (b) the Wiener-Hopf factorization can be replaced by a nonlinear equation which is ...
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SYSTEMS OF WIENER-HOPF INTEGRAL EQUATIONS, AND NONLINEAR FACTORIZATION EQUATIONS

Mathematics of the USSR-Sbornik, 1985
Translation from Mat. Sb., Nov. Ser. 124(166), No.2(6), 189-216 (Russian) (1984; Zbl 0566.45007).
Engibaryan, N. B., Arabadzhyan, L. G.
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Wiener-Hopf Integral Equations

2000
The purpose of this chapter is to study the distributional solution of the integral equations of the type $$g(x) + \lambda \int_{0}^{\infty } {k(x - y)g(y)dy = f(x), x \geqslant 0}$$ (8.1) , as well as the corresponding equations of the first kind, the so-called Wiener-Hopf integral equations.
Ricardo Estrada, Ram P. Kanwal
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Wiener-hopf equations and variational inequalities

Journal of Optimization Theory and Applications, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Superconvergent approximations for Wiener-Hopf equations

Acta Mathematicae Applicatae Sinica, 1996
The paper is devoted to Galerkin solutions of the Wiener-Hopf equation \[ x(t)- \int^\infty_0 h(t-\tau) x(\tau)d\tau= f(t),\quad t\in[0,\infty),\tag{1} \] where the right-hand side \(f\) and the kernel function \(h(t)\) are given, \(x:[0,\infty)\to\mathbb{R}\) is the unknown solution and \(h(t)\) is smooth. It is assumed that there exists a \(\mu^*>0\)
Shi, Jun, Lin, Qun
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Homogeneous conservative Wiener-Hopf equation

Sbornik: Mathematics, 2007
The existence of a -solution of the homogeneous generalized Wiener-Hopf equation is proved, where is a probability distribution of recurrent type in . Asymptotic properties of this solution are established. Bibliography: 10 titles.
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