Browsing by Subject "Mathematical transformations"
Now showing items 41-45 of 45
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Article
The role of information state and adjoint in relating nonlinear output feedback risk-sensitive control and dynamic games
(1997)This paper employs logarithmic transformations to establish relations between continuous-time nonlinear partially observable risk-sensitive control problems and analogous output feedback dynamic games. The first logarithmic ...
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Article
Series decomposition of fractional Brownian motion and its Lamperti transform
(2009)The Lamperti transformation of a self-similar process is a stationary process. In particular, the fractional Brownian motion transforms to the second order stationary Gaussian process. This process is represented as a ...
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Article
Symmetries and form-preserving transformations of generalised inhomogeneous nonlinear diffusion equations
(2003)We consider the variable coefficient inhomogeneous nonlinear diffusion equations of the form f(x)ut = [g(x)unux]x. We present a complete classification of Lie symmetries and form-preserving point transformations in the ...
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Article
Symmetries and form-preserving transformations of one-dimensional wave equations with dissipation
(2001)General results are given for the forms of infinitesimal point symmetries of the class of partial differential equations in which utt is a function of x,t,u,ut and the x-derivatives of u up to order n ≥ 2. Continuous and ...
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Article
Transformation properties of a variable-coefficient Burgers equation
(2004)In this paper we consider the variable coefficient equation u t=b(t)uux+a(t)uxx which among other applications has considerable interest in nonlinear acoustics. We present transformation properties of this generalised ...