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In this paper, the cone theory and Mönch fixed point theorem combined with a monotone iterative technique are used to investigate the positive solutions of a class of boundary problems for nth-order nonlinear impulsive singular integro-differential equations of mixed type on an infinite interval in Banach spaces. The conditions for the existence of a positive solution are established. In addition,...
In this paper, we obtain the existence of multiple positive solutions of a m-point boundary value problem for 2nth-order singular nonlinear integro-differential equations in a Banach space, by means of fixed point index theory of completely continuous operators.
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