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Journal of Inequalities and Applications 2006

An existence theorem for an implicit integral equation with discontinuous right-hand side

Giovanni Anello

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Abstract:

We establish a result concerning the existence of solutions for the following implicit integral equation: g( u( t ) )= ( t, x o + ∫ 0 t f( τ,u( τ ) )dτ ) , where is not supposed continuous with respect to the second variable.

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