Green's functions and boundary value problems. Stakgold I., Holst M.

Green's functions and boundary value problems


Green.s.functions.and.boundary.value.problems.pdf
ISBN: 0470609702,9780470609705 | 880 pages | 22 Mb


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Green's functions and boundary value problems Stakgold I., Holst M.
Publisher: Wiley




(k2 is the total-energy eigenvalue and should not be confused with g2 in Sec. Semi-infinite cylindrical domains with curvilinear surfaces placed at infinity and subject to mixed boundary conditions on the plane boundaries are obtained. First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy's and Euler's equations, Initial and boundary value problems, Partial Differential Equations and variable separable method. Stakgold, I., Green's Functions and Boundary Value Problems, Wiley-Interscience Publications, New York, USA, 1979. This is true when we are seeking a Green's Functions, 2nd Edition, Cambridge University Press, Cambridge, Great Britain, 1982. In the discuassion above concerning the solution of a differential equation with a Green's function, no mention was made of boundary conditions for the problem. Faddeev, Asymptotic behavior of the Green function for the Neumann problem near a boundary point, Zap. Xe'k'('-") is the Green's function for the problem as suming outgoing spherical waves as a boundary condi- tion. Free-Space and Region Dependent Green's Functions. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems. The representations are given in the form of integral convolutions involving a Green's function for the parabolic heat conduction equation, as well as Green's function for the isothermal elastodynamics. 2-port network parameters: driving point and transfer functions. Originally published in 1967, this graduate-level introduction is devoted to the mathematics needed for the modern approach to boundary value problems using Green's functions and using eigenvalue expansions. Dancer and Shusen Yan, Interior and boundary peak solutions for a mixed boundary value problem, Indiana Univ. Strum-Liouville problem, eigenfunction expansions, Green's functions and boundary value problems for partial differential equations, group theory, tensor analysis, approximation techniques. Important subjects covered include linear spaces, Green's functions, spectral expansions, electromagnetic source representations, and electromagnetic boundary value problems.