منابع مشابه
The Fermi-Pasta-Ulam problem(∗)
The Fermi-Pasta-Ulam model is a system of N+2 equal particles on a line with mutual interactions between adjacent particles, provided by a potential of the form V (r) = r/2 + αr/3 + βr/4; certain boundary conditions are also assigned, typically with the two extreme particles fixed. For α = β = 0 the system is a linear one, and by a familiar linear transformation it can be reduced to a system of...
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there has been a gradual shift of focus from the study of rule systems, which have increasingly been regarded as impoverished, … to the study of systems of principles, which appear to occupy a much more central position in determining the character and variety of possible human languages. there is a set of absolute universals, notions and principles existing in ug which do not vary from one ...
15 صفحه اولOn the Ulam Problem for Euler Quadratic Mappings
In 1940 and in 1968 S. M. Ulam proposed the general problem:”When is it true that by changing a little the hypotheses of a theorem one can still assert that the thesis of the theorem remains true or approximately true?”. In 1941 D. H. Hyers solved this stability problem for linear mappings. In 1951 D. G. Bourgin was the second author to treat the same problem for additive mappings. According to...
متن کاملOn the Mazur-Ulam problem in fuzzy anti-normed spaces
The aim of this article is to proved a Mazur-Ulam type theorem in the strictly convex fuzzy anti-normed spaces.
متن کاملInstability in Fermi–Ulam ‘ping-pong’ problem
The motion of a classical particle bouncing elastically between two parallel walls, with one of the walls undergoing a periodic motion is considered. This problem, called Fermi–Ulam ‘ping-pong’, is known to possess only bounded solutions if the motion of the wall is sufficiently smooth p(t) ∈ C4+ , where p(t) is the position of the wall. It is shown that the stability result does not hold if p(...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1971
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1971-0278262-5