Wiener-Hopf equations

Wiener-Hopf equations

[′vē·nər ′hȯpf i‚kwā·zhənz]
(mathematics)
Integral equations arising in the study of random walks and harmonic analysis; they are where g and K are known functions on the positive real numbers and ƒ is the unknown function.
References in periodicals archive ?
Aslam Noor: Wiener-Hopf equations and variational inequalities, J.
Aslam Noor: Sensitivity analysis for variational inclusions by Wiener-Hopf equations technique, J.
Shi: Equivalence of Wiener-Hopf equations with variational inequalities, Proc.
There are several numerical methods including projection methods, Wiener-Hopf equations, descent and decomposition for solving variational inequalities; see [13]-[23].
Aslam Noor: Nonconvex Wiener-Hopf equations and variational inequalities, J.
In this paper, we first introduce a new class of Wiener-Hopf equations involving the projection of the real Hilbert space on the nonconvex set.
We now consider the problem of solving the nonconvex Wiener-Hopf equations.
There is a substantial number of numerical methods including projection method and its variant forms, Wiener-Hopf equations, auxiliary principle, and descent framework for solving variational inequalities and complementarity problems; see [1]-[42] and the references therein.
We also introduce and consider the problem of solving the implicit Wiener-Hopf equations.
Using the projection techniques, we establish the equivalence bewteen the multivalued general variational inequalities and the multivalued Wiener-Hopf equations.
We now consider the problem of solving the Wiener-Hopf equations.
Related to the general variational inequalities, we also consider a new class of the Wiener-Hopf equations, which is called the general Wiener-Hopf equations.