Collaborator of Workshop of Integral Transformation
of the Neighborhood
According to the integral transformation
shown in Figure 12, the second item for (A.6) on the right side is
The coordinate "x" is eliminated by using integral transformation
, and the eigenvalue problem is employed for the transverse displacement as follows:
Backstepping can be used to achieve the stabilization of unstable PDEs in a physically appealing way where the destabilizing terms are eliminated by means of an invertible integral transformation
of the PDE together with the boundary feedback.
The first steps to solve (5) analytically are straightforward if the integral transformation
t = [[rho].sup.2] + [c.sup.2] is employed in the inner integral.
Connection formula (2.6), together with (2.5), appears also if we consider the methods [A.sub.[alpha]] = (D, [alpha]) ([alpha] > -1), defined with the help of the integral transformation
A space-time method for numerical solution of a stretched finite string subjected to a moving mass at a constant speed was proposed by Bajer and Dyniewicz , and then by using a combination of the Fourier integral transformation
and time integration methods, a semianalytical method for the same problem was proposed by Dyniewicz and Bajer .
In addition to basic mathematical operations such as algebra, trigonometry, and complex numbers, that includes vectors and matrices, calculus, vector calculus, ordinary differential equations, special functions, Fourier series and integral transformations
, partial differential equations, and complex analysis.
in the problems of the theory of elasticity.
Kratzel, "Integral transformations
of Bessel-type," in Generalized functions and operational calculus (Proc.