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

Free-Space and Region Dependent Green's Functions. Stakgold, I., Green's Functions and Boundary Value Problems, Wiley-Interscience Publications, New York, USA, 1979. 1&2) by Ivar Stakgold Paperback. The present text focuses on the construction of Green's functions for a wide range of boundary-value problems. 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. 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. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems. Established in 1882 at Lahore which is now in Pakistan, the Panjab university campus spreads over 550 acres of vast green land and has 188 affiliated institutions in Punjab and regional centers in Kauni, Muktsar, Ludhiana and Hoshiarpur. Differential equations: 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. In the process, we naturally derive Green's function. The method is to use Green's identity and Green's second formula to transform the problem to another specialized Dirichlet boundary-value problem. This is true when we are seeking a Green's Functions, 2nd Edition, Cambridge University Press, Cambridge, Great Britain, 1982. He found that the boundary value problem may be solved by means of the Green's function K(P, Q) for this inhomogeneous differential equation, with the solution ψ(P) = ∫K(P, Q)u(Q) dQ. Amazon.com: Green's Functions and Boundary Value Problems (Pure.