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On a class of nonlinear integral equations

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Abstract

In this paper we consider abstract equations of the typeK ν ν +ν =w 0, in a closed convex subset of a separable Hilbert spaceH. For eachv in the closed convex subset,K v :H →H is a bounded linear map. As an application of our abstract result we obtain an existence result for nonlinear integral equations of the typeν(s)+ν(s)∫ 10 k(s,t)ν(t)dt =W 0(s) in the spaceL 2 [0,1].

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Authors and Affiliations

  1. Department of Mathematics, Birla Institute of Technology and Science, 333 031, Pilani

    Mohan C. Joshi & P. N. Srikanth

Authors
  1. Mohan C. Joshi
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  2. P. N. Srikanth
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Joshi, M.C., Srikanth, P.N. On a class of nonlinear integral equations. Proc. Indian Acad. Sci. (Math. Sci.) 87, 169–175 (1978). https://doi.org/10.1007/BF02837751

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  • DOI: https://doi.org/10.1007/BF02837751

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