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Zbl 1069.45010
Guo, Dajun
Multiple positive solutions for $n$th-order impulsive integro-differential equations in Banach spaces. (English)
[J] Nonlinear Anal., Theory Methods Appl. 60, No. 5, A, 955-976 (2005). ISSN 0362-546X

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.
[Ioan I. Vrabie (Iaşi)]

MSC 2000:: *45N05 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

Keywords: impulsive integro-differential equation; completely continuous operator; cone and partial ordering; fixed point index; measure of noncompactness; boundary value problem; multiple positive solutions

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