Results 101 to 110 of about 21,203 (171)

Wiener–Hopf Equations Technique for Quasimonotone Variational Inequalities

Journal of Optimization Theory and Applications, 1999
A general kind of variational inequalities are considered. It is demonstrated that they are equivalent to general Wiener-Hopf equations. Moreover, some new algorithms to solve the general variational inequalities are introduced and their convergence is proved.
M. Noor, E. Al-Said
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Fredholm resolvents, Wiener-Hopf equations, and Riccati differential equations

IEEE Transactions on Information Theory, 1969
We shall show that the solution of Fredholm equations with symmetric kernels of a certain type can be reduced to the solution of a related Wiener-Hopf integral equation. A least-squares filtering problem is associated with this equation. When the kernel has a separable form, this related problem suggests that the solution can be obtained via a matrix ...
T. Kailath
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Wiener-Hopf equations technique for variational inequalities

Korean journal of computational & applied mathematics, 2000
Let \(H\) be a Hilbert space with the scalar product \(\langle\cdot,\cdot\rangle\), \(T:H\to H\), \(K\subset H\) be nonempty closed convex and let \(P_K\) denote the projection of \(H\) onto \(K\). Fix \(\rho>0\). The author shows the equivalence between the variational inequality \[ u\in K:\qquad\langle Tu,v-u\rangle \geq 0 \quad\forall v\in H \] and ...
M. Noor
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Forms of Wiener-Hopf equations

, 2014
This chapter discusses the different forms of Wiener-Hopf equations. Besides the classical Wiener-Hopf equations (CWHE), different functional equations may be classified as modified W-H equations and generalized W-H equations.
V. Daniele, R. Zich
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Numerical resolution of Mellin type equations via Wiener-Hopf equations

, 2002
Recently the authors have proposed to replace the classical Gauss-Laguerre quadrature formula and its associated rules of product type by truncated versions of them, obtained by ignoring the last part of the nodes. This has the effect of getting optimal order of convergence using a significantly less number of nodes.
G. Mastroianni, G. Monegato
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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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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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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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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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