Positive solutions for a class of nonlocal impulsive BVPs via fixed point index

Gennaro Infante, Paolamaria Pietramala, Mirosława Zima

Abstract


We study the existence of positive solutions for
perturbed impulsive integral equations. Our setting is quite
general and covers a wide class of impulsive boundary value problems.
We also study other cases that can be treated in a similar manner. The
main ingredient in our theory is the classical fixed point index
theory for compact maps.

Keywords


Fixed point index; cone; impulsive; positive solution

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