[PDF][PDF] Existence and continuous dependence on data of the solution of an integral equation

M Dobriţoiu - Bulletins for Applied&Computer Mathematics, 2005 - researchgate.net
Bulletins for Applied&Computer Mathematics, 2005researchgate.net
… The operator A is continuous and compact and, it follows that the operator A is
completely continuous. The conditions of the Schauder’s theorem are satisfied and it results
the following existence theorem for the solution of the integral equation (1) in C[ab] space: …
Consequently we have the following continuous dependence on data theorem for the
solution of the integral equation (1) in the );( …
Abstract
This paper contains two results of existence of the solution of the integral equation
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