Existence and topological structure of solution sets for φ-Laplacian impulsive stochastic differential systems
DOI:
https://doi.org/10.24193/subbmath.2018.4.07Keywords:
-Laplacian Stochastic dierential equation, Wiener process, impulsive dierential equations, Matrix convergent to zero, Generalized Banach space, Fixed point.Abstract
In this article, we present results on the existence and the topological struc-
ture of the solution set for initial-value problems for the rst-order impulsive
dierential equation with innite Brownian motions are proved.The approach is
based nonlinear alternative Leary-Schauder type theorem in generalized Banach
spaces
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