Abstract
In this paper the Leray–Schauder nonlinear alternative combined with semigroup theory is used to investigate the existence of mild solutions for first-order impulsive semilinear functional differential equations in Banach spaces.
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Benchohra, M., Guedda, M. & Kirane, M. Impulsive Semilinear Functional Differential Equations. Nonlinear Oscillations 5, 287–296 (2002). https://doi.org/10.1023/A:1022388122751
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DOI: https://doi.org/10.1023/A:1022388122751