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Let ( X n ) be an almost increasing sequence and ( φ n p n P n ) be a non-increasing sequence.
Then, the convergence is established by showing that the solutions of SDLDEs are a monotone non-increasing sequence that converges to the solution of the SDRDE.
Hence { δ n } is a non-increasing sequence.
This implies that γ n is a non-increasing sequence.
Let ((a_{n})) be a positive non-increasing sequence.
(ii) if a non-increasing sequence , then for all.
Let ((u_{n})) be a positive non-increasing sequence.
Then, c m is a non-increasing sequence and bounded below.
Hence, we conclude that { s n } is a non-increasing sequence bounded below by zero.
N. If { x n } is a non-increasing sequence and lim n ?
Then, b m is a non-increasing sequence and bounded below.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com