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On the fundamental solutions of the operators of S. Timoshenko and R. D. Mindlin
Author(s) -
Ortner Norbert,
Wagner Peter
Publication year - 1992
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670150802
Subject(s) - mathematics , simple (philosophy) , representation (politics) , order (exchange) , algebra over a field , mathematical analysis , pure mathematics , operator theory , philosophy , epistemology , finance , politics , political science , law , economics
Our recent paper about some new fundamental solutions is complemented by a representation of the fundamental solution of certain evolution operators of fourth order in terms of a family of fundamental solutions of operators of second order. By applying this to the operators of vibrating beams and plates we deduce representations of their fundamental solutions as simple definite integrals over tabulated functions.