Results 271 to 275 of about 5,157,697 (275)

Variation of Green's Functions

Journal of Mathematical Physics, 1966
The variation of the Green's function of a linear differential operator is computed as the variation of an n-tuple integral with variable boundary. This generalization of Hadamard formula is shown to lead naturally to the method of ``invariant imbedding'' of R. Bellman.
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Green’s Functions for ODE

2011
As was convincingly shown in Chap. 3, the methods of images and conformal mapping are helpful in obtaining Green’s functions for the two-dimensional Laplace equation. But it is worth noting, at the same time, that the number of problems for which these methods are productive, is notably limited.
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Fractal green function theory

Communications in Nonlinear Science and Numerical Simulation
This paper provides a comprehensive study of fractal calculus and its application to differential equations within fractal spaces. It begins with a review of fractal calculus, covering fundamental definitions and measures related to fractal sets.
Alireza Khalili Golmankhaneh, Carlo Cattani, Hemanta Kalita, Shigeru Furuichi, Palle E. T. Jorgensen   +4 more
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The One-Sided Green's Function

Journal of Applied Physics, 1951
Let L be a linear differential operator of the nth order whose coefficients pi(x) are continuous in a semi-infinite interval I: [a, ∞). A function H(x, ζ) is said to be a one-sided Green's function for the operator L if it satisfies the four conditions: (1) H is continuous and its first n derivatives with respect to x are continuous in I.
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Green function or green's function?

Nature Physics, 2006
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