Existence theorems for generalized Hammerstein equations
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- by P. N. Srikanth and M. C. Joshi PDF
- Proc. Amer. Math. Soc. 78 (1980), 369-374 Request permission
Abstract:
In this paper we obtain existence theorems for generalized Hammerstein-type equations $K(u)Nu + u = 0$, where for each u in the dual ${X^\ast }$ of a real reflexive Banach space $X,K(u):X \to {X^\ast }$ is a bounded linear map and $N:{X^\ast } \to X$ is any map (possibly nonlinear). The method we adopt is totally different from the methods adopted so far in solving these equations. Our results in the reflexive space generalize corresponding results of Petry and Schillings.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 78 (1980), 369-374
- MSC: Primary 45G10; Secondary 47H15
- DOI: https://doi.org/10.1090/S0002-9939-1980-0553379-1
- MathSciNet review: 553379