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Uniqueness and existence of positive solutions for Hammerstein integral equations of polynomial type

โœ Scribed by Zhao Zengqin


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
450 KB
Volume
32
Category
Article
ISSN
0362-546X

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Solution of nonlinear integral equations
โœ C.E. Chidume; E.U. Ofoedu ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 223 KB

Let E be a 2-uniformly real Banach space and F , K : E โ†’ E be nonlinear-bounded accretive operators. Assume that the Hammerstein equation u + KFu = 0 has a solution. A new explicit iteration sequence is introduced and strong convergence of the sequence to a solution of the Hammerstein equation is pr