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In future work, we will utilize the proposed methods to deal with the general nonlinear Volterra integral equations of the first kind and nonlinear Volterra integral equation systems of the first kind.
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The ordinary kernel function is divided into two kinds, linear and nonlinear.
We study the continuity properties of several kind of linear and nonlinear operators acting on these spaces that will be useful in Sections 4.2, 4.4 and 7.2.
The variational iteration method (VIM) [1 4] and homotopy perturbation method (HPM) [5 8], proposed by He, are powerful analytical methods for various kinds of linear and nonlinear problems.
It is well known that an eigenvalue problem plays a very important role in the studying of all kinds of linear and nonlinear problems.
HHT is a kind of nonlinear and nonstationary signal processing method, which decomposes and transforms adaptively according to the data itself [ 19].
In this paper we propose a new kind of nonlinear and geometry driven subdivision scheme for curve interpolation.
In a recent paper (Computer Aided Geometric Design 23 (3), 243 260), Yang presented a novel kind of nonlinear and geometry driven subdivision scheme for curve interpolation.
The model developed on the basis of such a theory is called "grey model," which is a kind of nonlinear and dynamic model formulated by a differential equation.
The pendulum-like system is a special kind of nonlinear system with periodic nonlinearity and multiple equilibria [2].
In the following, we call "input level dependent" the first kind of nonlinear system and "input level independent" the second one.
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