Some applications of the theory of stochastic coincidence degree in periodic problems for functional differential inclusions. (English. Russian original) Zbl 07897406
J. Math. Sci., New York 283, No. 3, 366-376 (2024); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 186, 21-31 (2020).
Summary: The method of stochastic integral guiding functions developed on the basis of the theory of a stochastic topological coincidence degree is applied to the study of the periodic problem for stochastic functional differential inclusions in finite-dimensional spaces.
MSC:
| 34K09 | Functional-differential inclusions |
| 34K50 | Stochastic functional-differential equations |
| 34K13 | Periodic solutions to functional-differential equations |
| 47H11 | Degree theory for nonlinear operators |
Keywords:
stochastic integral guiding function; stochastic potential; stochastic multioperator; stochastic coincidence degree; stochastic topological indexReferences:
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