Matches in SemOpenAlex for { <https://semopenalex.org/work/W2091726690> ?p ?o ?g. }
Showing items 1 to 85 of
85
with 100 items per page.
- W2091726690 endingPage "25" @default.
- W2091726690 startingPage "1" @default.
- W2091726690 abstract "We consider the zero crossings and positive solutions of scalar nonlinear stochastic Volterra integrodifferential equations of Itô type. In the equations considered, the diffusion coefficient is linear and depends on the current state, and the drift term is a convolution integral which is in some sense mean reverting towards the zero equilibrium. The state dependent restoring force in the integral can be nonlinear. In broad terms, we show that when the restoring force is of linear or lower order in the neighbourhood of the equilibrium, or if the kernel decays more slowly than a critical noise-dependent rate, then there is a zero crossing almost surely. On the other hand, if the kernel decays more rapidly than this critical rate, and the restoring force is globally superlinear, then there is a positive probability that the solution remains of one sign for all time, given a sufficiently small initial condition. Moreover, the probability that the solution remains of one sign tends to unity as the initial condition tends to zero." @default.
- W2091726690 created "2016-06-24" @default.
- W2091726690 creator A5029716524 @default.
- W2091726690 date "2010-01-01" @default.
- W2091726690 modified "2023-10-18" @default.
- W2091726690 title "On the Positivity and Zero Crossings of Solutions of Stochastic Volterra Integrodifferential Equations" @default.
- W2091726690 cites W1989828105 @default.
- W2091726690 cites W2001830883 @default.
- W2091726690 cites W2009715682 @default.
- W2091726690 cites W2040008400 @default.
- W2091726690 cites W2042831535 @default.
- W2091726690 cites W2044965965 @default.
- W2091726690 cites W2052763713 @default.
- W2091726690 cites W2055495535 @default.
- W2091726690 cites W2095396596 @default.
- W2091726690 cites W2121489545 @default.
- W2091726690 cites W2144481813 @default.
- W2091726690 cites W2497108417 @default.
- W2091726690 doi "https://doi.org/10.1155/2010/508217" @default.
- W2091726690 hasPublicationYear "2010" @default.
- W2091726690 type Work @default.
- W2091726690 sameAs 2091726690 @default.
- W2091726690 citedByCount "0" @default.
- W2091726690 crossrefType "journal-article" @default.
- W2091726690 hasAuthorship W2091726690A5029716524 @default.
- W2091726690 hasBestOaLocation W20917266901 @default.
- W2091726690 hasConcept C121332964 @default.
- W2091726690 hasConcept C134306372 @default.
- W2091726690 hasConcept C138885662 @default.
- W2091726690 hasConcept C139676723 @default.
- W2091726690 hasConcept C158622935 @default.
- W2091726690 hasConcept C175853643 @default.
- W2091726690 hasConcept C202444582 @default.
- W2091726690 hasConcept C21965488 @default.
- W2091726690 hasConcept C2524010 @default.
- W2091726690 hasConcept C27016315 @default.
- W2091726690 hasConcept C2780813799 @default.
- W2091726690 hasConcept C28826006 @default.
- W2091726690 hasConcept C33923547 @default.
- W2091726690 hasConcept C41895202 @default.
- W2091726690 hasConcept C57691317 @default.
- W2091726690 hasConcept C62520636 @default.
- W2091726690 hasConcept C74193536 @default.
- W2091726690 hasConcept C74650414 @default.
- W2091726690 hasConceptScore W2091726690C121332964 @default.
- W2091726690 hasConceptScore W2091726690C134306372 @default.
- W2091726690 hasConceptScore W2091726690C138885662 @default.
- W2091726690 hasConceptScore W2091726690C139676723 @default.
- W2091726690 hasConceptScore W2091726690C158622935 @default.
- W2091726690 hasConceptScore W2091726690C175853643 @default.
- W2091726690 hasConceptScore W2091726690C202444582 @default.
- W2091726690 hasConceptScore W2091726690C21965488 @default.
- W2091726690 hasConceptScore W2091726690C2524010 @default.
- W2091726690 hasConceptScore W2091726690C27016315 @default.
- W2091726690 hasConceptScore W2091726690C2780813799 @default.
- W2091726690 hasConceptScore W2091726690C28826006 @default.
- W2091726690 hasConceptScore W2091726690C33923547 @default.
- W2091726690 hasConceptScore W2091726690C41895202 @default.
- W2091726690 hasConceptScore W2091726690C57691317 @default.
- W2091726690 hasConceptScore W2091726690C62520636 @default.
- W2091726690 hasConceptScore W2091726690C74193536 @default.
- W2091726690 hasConceptScore W2091726690C74650414 @default.
- W2091726690 hasFunder F4320320847 @default.
- W2091726690 hasLocation W20917266901 @default.
- W2091726690 hasLocation W20917266902 @default.
- W2091726690 hasLocation W20917266903 @default.
- W2091726690 hasOpenAccess W2091726690 @default.
- W2091726690 hasPrimaryLocation W20917266901 @default.
- W2091726690 hasRelatedWork W1897446989 @default.
- W2091726690 hasRelatedWork W2033623414 @default.
- W2091726690 hasRelatedWork W2085397719 @default.
- W2091726690 hasRelatedWork W2091726690 @default.
- W2091726690 hasRelatedWork W2269165421 @default.
- W2091726690 hasRelatedWork W2368385418 @default.
- W2091726690 hasRelatedWork W2480288580 @default.
- W2091726690 hasRelatedWork W2515248236 @default.
- W2091726690 hasRelatedWork W2517687681 @default.
- W2091726690 hasRelatedWork W1826865795 @default.
- W2091726690 hasVolume "2010" @default.
- W2091726690 isParatext "false" @default.
- W2091726690 isRetracted "false" @default.
- W2091726690 magId "2091726690" @default.
- W2091726690 workType "article" @default.