Existence and topological structure of solution sets for φ-Laplacian impulsive stochastic differential systems
DOI:
https://doi.org/10.24193/subbmath.2018.4.07Keywords:
φ-Laplacian stochastic differential equation, Wiener process, impulsive differential equations, matrix convergent to zero, generalized Banach space, fixed point.Abstract
In this article, we present results on the existence and the topological structure of the solution set for initial-value problems relating to the first-order impulsive differential equation with infinite Brownian motions are proved. The approach is based on nonlinear alternative Leray-Schauder type theorem in generalized Banach spaces.
Mathematics Subject Classification (2010): 34A37, 34K45, 60H99, 60H05, 65C30, 47H10.
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