CONTINUATION METHOD AND TOPOLOGICAL INVARIATION
Journal Title: Journal of Science And Arts - Year 2008, Vol 8, Issue 1
Abstract
The inversability of an linear bounded operator can be deduced from the inversability of an known linear operator with help of continuation method, with important generation in the degree theory. In this report are presented continuation method, equations with sum A-proper, where topological degrees generalized can be used and the study of similar equations, of tip Lx = S (x) + p, in which Lis Fredholm unbounded operator with zero index and N (L) 6= {O}, having the majority properties of coincidents degrees. In the last part are given two examples: one in the case of approximation method for A-proper and another example with Hammerstein abstract equation.
Authors and Affiliations
Eleonora Rapeanu
Keywords
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