We study the existence of solutions for nonlinear first order impulsive systems with nonlocal initial conditions. Our approach relies in the fixed point principles of Schauder and Perov, combined with a vector approach that uses matrices that converge to zero. We prove existence and uniqueness results for these systems. Some examples are presented to illustrate the theory.
Bolojan-Nica, O., Infante, G., & Pietramala, P. (2013). Existence results for impulsive systems with initial nonlocal conditions. Mathematical Modelling and Analysis, 18(5), 599-611. https://doi.org/10.3846/13926292.2013.865678
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