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Taylor series for the dirac function on perturbed surfaces with applications to mechanics (1985)

Codaccioni, R. Caboz J.-P. ; Constantinescu, F. ; Meister, E.

Chichester, West Sussex : Wiley-Blackwell

Mathematical Methods in the Applied Sciences 7 (1985), S. 416-425

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ISSN: 0170-4214

Keywords: Mathematics and Statistics ; Applied Mathematics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics

Notes: Let H0 be the Hamiltonian of an unperturbed oscillating system and let V be a small perturbation which is analytic in a neighborhood of the surface H0 = E, E 〉 0.If H0 = H + λ V is the total Hamiltonian, we prove that there is a Taylor expansion of the Dirac function δ for small |λ|When applied to test functions which are analytic near H0 = E.The connection of this result with the classical Lagrange-Bürmann theorem and some applications to the mechanics of non-linear systems are discussed.

Additional Material: 2 Ill.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/mma.1670070128

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