ISSN:
1432-1785
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In [2] and [3] F.W.SCHÄFKE presents — as a basis for far-reaching generalizations of many classical results about linear difference equations — a simple theorem about “difference equations” xn+1=Anxn for sequences of elements in a normed abelian group with given endomorphisms An and as the core of the theory a constructive method for determining the — primary important-minimal solutions. In the following note, more general structures (instead of ([o,∞),+,≤)) are considered as range of generalized norms, by which the field of application of the theory is enlarged, and- by the greater adaptibility of “quasinorms” — the basis for more exact estimates for different types of solutions in practical problems is given.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01154085
Permalink