A new type of convergence with application to Hammerstein's equation
โ Scribed by Jean-Bernard Baillon; Michel Thera
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 728 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
New results on eigenvalue intervals and the existence of one or several positive eigenfunctions for singular Hammerstein integral equations are obtained via the fixed point index for compact maps. Applications of these results will be given to two-point, three-point and periodic boundary value probl
The class of continued radicals r,J(ar +?/(a, +Iq(a, + . . .))) is investigated for the case where a, > O,r, > 2. Results concerning the convergence of continued radicals are obtained and an error estimate is givenfor the approximating sequence t, = 'q(al +';/(a, + ... +';/(a.))), n = 1,2,. . , in
The standard definition of convergence of an infinite product of scalars is extended co B to the infinite product P = ~m=l m of k ร k matrices; that is, P is convergent according to the definition given here if and only if there is an integer N such that Bm is invertible for m > N and P = limn~co I