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Multiple positive solutions for $n$th-order impulsive integro-differential equations in Banach spaces. (English) Zbl 1069.45010
The author considers a boundary value problem of an $n$th-order impulsive integro-differential equation on an infinite interval and, using the fixed point index theory for completely continuous operators, proves the existence of multiple positive solutions.

##### MSC:
 45N05 Abstract integral equations, integral equations in abstract spaces 45J05 Integro-ordinary differential equations 45M20 Positive solutions of integral equations 47H09 Mappings defined by “shrinking” properties 45G10 Nonsingular nonlinear integral equations
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##### References:
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