INVARIANT MEASURES AND THEIR LIMITING BEHAVIOUR FOR NEUTRAL TYPE STOCHASTIC DELAY EQUATIONS IN HILBERT SPACE
1 2 K, H) -i i i-i Q 1 2 K H. i, : [-h, 0] - H - i, (, F, P ) ii i. i i [5] i ii i h (1). i i i' ii i { h } h - 0 i ii., , i' { h } , , - i' { h } ii i ii ( h = 0)(3)i , (1)-( 2) ii i, i, i hn - 0 i ii h n - 0, n - .i i-ii i i i i i, i i i i , i i i i '. i i i i i , i , i i ii .ii 'i i i-i, i -i i [12].ii i ' i i i i i . i i 'i i (1) i i. [13] i ' 'i i ii iii.i i [14]. i ' i [15]. i [20] i ' ' i i i. i [14] i i ' 'i.i , i i i i 'i i i ii i. i i-i i i , i i [2] [21] i . i i i' { h } h - 0 i i. A i p-i.i , i i i i ( ) i.i, i ' ' ' i : g(u h (t-h)) i t 0 AS(t-s)g(u h (t-s))ds.i S(t) i . i t > 0, i i' i g(u h (t -h, )) i C([-h, 0], H) . i , i
Authors
- O. M. Martynyuk (ORCID: https://orcid.org/0000-0002-1047-4184)
- Andriy Stanzhytskyi
- Oleksandr Pravdyvyi
- Oleksandr Stanzhytsʹkyy
Institutions
- Yuriy Fedkovych Chernivtsi National University (UA)
- Taras Shevchenko National University of Kyiv (UA)
- National Academy of Educational Sciences of Ukraine (UA)
Publication Details
- Journal
- Bukovinian Mathematical Journal
- Published
- 2025-01-01
- DOI
- https://doi.org/10.31861/bmj2025.01.01
- Primary Topic
- Stochastic processes and financial applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00