This paper is focused in the effect of adaptive weighted non-linearity in speech coding. The results showed that the effect of adaptive non-linearity improves the spectral distance measure when compared to the system without non-linearity. Key-Words: Coding, Non-linearity, Hammerstein Model, Adaptation

We consider a class of two-dimensional integral equations with noncompact monotone Hammerstein operators and concave nonlinearity. prove constructive theorem on the existence uniqueness nontrivial nonnegative bounded solution study asymptotic behavior at infinity. Some examples kernels nonlinearity are given.

in this paper‎, ‎existence of an $l^p$-solution for 2dies (two‎ ‎dimensional integral equations) of the hammerstein type is‎ ‎discussed‎. ‎the main tools in this discussion are schaefer's and‎ ‎schauder's fixed point theorems with a general version of‎ ‎gronwall's inequality‎.

We study approximate solutions of a nonlinear integral equation of Hammerstein type. We describe the principle of discrete Adomian decomposition method (DADM). DADM is considered in the case we evaluate numerical integration by using Chebyshev roots. This technique gives an accurate solutions as will shown by illustrate examples.

We consider a singular elliptic perturbation of a Hammerstein integral equation with singular nonlinear term at the origin. The compactness of the solutions to the perturbed problem and, hence, the existence of a positive solution for the integral equation are proved. Moreover, these results are applied to nonlinear singular homogeneous Dirichlet problems.

A wavelet collocation method for nonlinear Hammerstein equations is formulated. A sparsity in the Jacobian matrix is obtained which gives rise to a fast algorithm for nonlinear solvers such as the Newton’s method and the quasi-Newton method. A fast multilevel augmentation method is developed on a transformed nonlinear equation which gives an additional saving in computational time.

Inverse fuzzy process model based direct adaptive control. [2] J. Abonyi and R. Babuška. Local and global identification and interpretation of parameters in Takagi–Sugeno fuzzy models. In Proceed-[3] J. Abonyi and R. Babuška. Local and global identification and interpretation of parameters in Takagi–Sugeno fuzzy models. In Proceed-tification and control of nonlinear systems using fuzzy Hammerst...