Matches in SemOpenAlex for { <https://semopenalex.org/work/W1985094913> ?p ?o ?g. }
- W1985094913 endingPage "450" @default.
- W1985094913 startingPage "423" @default.
- W1985094913 abstract "This paper is concerned with the existence, stability, and global attractivity of time-periodic solutions for a class of coupled parabolic equations in a bounded domain. The problem under consideration includes coupled system of parabolic and ordinary differential equations, and time delays may appear in the nonlinear reaction functions. Our approach to the problem is by the method of upper and lower solutions and its associated monotone iterations. The existence of time-periodic solutions is for a class of locally Lipschitz continuous reaction functions without any quasimonotone requirement using Schauder fixed point theorem, while the stability and attractivity analysis is for quasimonotone nondecreasing and mixed quasimonotone reaction functions using the monotone iterative scheme. The results for the general system are applied to the standard parabolic equations without time delay and to the corresponding ordinary differential system. Applications are also given to three Lotka–Volterra reaction diffusion model problems, and in each problem a sufficient condition on the reaction rates is obtained to ensure the stability and global attractivity of positive periodic solutions." @default.
- W1985094913 created "2016-06-24" @default.
- W1985094913 creator A5021727205 @default.
- W1985094913 date "2005-04-01" @default.
- W1985094913 modified "2023-09-27" @default.
- W1985094913 title "Stability and attractivity of periodic solutions of parabolic systems with time delays" @default.
- W1985094913 cites W1521419079 @default.
- W1985094913 cites W1964737538 @default.
- W1985094913 cites W1968613312 @default.
- W1985094913 cites W1968716469 @default.
- W1985094913 cites W1980673552 @default.
- W1985094913 cites W1989587884 @default.
- W1985094913 cites W1993392848 @default.
- W1985094913 cites W1997098615 @default.
- W1985094913 cites W1998937507 @default.
- W1985094913 cites W2007790586 @default.
- W1985094913 cites W2024417503 @default.
- W1985094913 cites W2025516574 @default.
- W1985094913 cites W2033137201 @default.
- W1985094913 cites W2036119400 @default.
- W1985094913 cites W2037529109 @default.
- W1985094913 cites W2043201863 @default.
- W1985094913 cites W2055516191 @default.
- W1985094913 cites W2058016628 @default.
- W1985094913 cites W2062461995 @default.
- W1985094913 cites W2062570668 @default.
- W1985094913 cites W2072779779 @default.
- W1985094913 cites W2084959557 @default.
- W1985094913 cites W2119982039 @default.
- W1985094913 cites W2156992777 @default.
- W1985094913 cites W2989103368 @default.
- W1985094913 doi "https://doi.org/10.1016/j.jmaa.2004.09.014" @default.
- W1985094913 hasPublicationYear "2005" @default.
- W1985094913 type Work @default.
- W1985094913 sameAs 1985094913 @default.
- W1985094913 citedByCount "50" @default.
- W1985094913 countsByYear W19850949132012 @default.
- W1985094913 countsByYear W19850949132013 @default.
- W1985094913 countsByYear W19850949132014 @default.
- W1985094913 countsByYear W19850949132015 @default.
- W1985094913 countsByYear W19850949132016 @default.
- W1985094913 countsByYear W19850949132017 @default.
- W1985094913 countsByYear W19850949132018 @default.
- W1985094913 countsByYear W19850949132019 @default.
- W1985094913 countsByYear W19850949132020 @default.
- W1985094913 countsByYear W19850949132021 @default.
- W1985094913 countsByYear W19850949132022 @default.
- W1985094913 countsByYear W19850949132023 @default.
- W1985094913 crossrefType "journal-article" @default.
- W1985094913 hasAuthorship W1985094913A5021727205 @default.
- W1985094913 hasBestOaLocation W19850949131 @default.
- W1985094913 hasConcept C112972136 @default.
- W1985094913 hasConcept C119857082 @default.
- W1985094913 hasConcept C121231716 @default.
- W1985094913 hasConcept C121332964 @default.
- W1985094913 hasConcept C134306372 @default.
- W1985094913 hasConcept C158622935 @default.
- W1985094913 hasConcept C186867907 @default.
- W1985094913 hasConcept C22324862 @default.
- W1985094913 hasConcept C2524010 @default.
- W1985094913 hasConcept C2834757 @default.
- W1985094913 hasConcept C28826006 @default.
- W1985094913 hasConcept C33923547 @default.
- W1985094913 hasConcept C34388435 @default.
- W1985094913 hasConcept C41008148 @default.
- W1985094913 hasConcept C45962547 @default.
- W1985094913 hasConcept C51544822 @default.
- W1985094913 hasConcept C62520636 @default.
- W1985094913 hasConcept C78045399 @default.
- W1985094913 hasConcept C93779851 @default.
- W1985094913 hasConceptScore W1985094913C112972136 @default.
- W1985094913 hasConceptScore W1985094913C119857082 @default.
- W1985094913 hasConceptScore W1985094913C121231716 @default.
- W1985094913 hasConceptScore W1985094913C121332964 @default.
- W1985094913 hasConceptScore W1985094913C134306372 @default.
- W1985094913 hasConceptScore W1985094913C158622935 @default.
- W1985094913 hasConceptScore W1985094913C186867907 @default.
- W1985094913 hasConceptScore W1985094913C22324862 @default.
- W1985094913 hasConceptScore W1985094913C2524010 @default.
- W1985094913 hasConceptScore W1985094913C2834757 @default.
- W1985094913 hasConceptScore W1985094913C28826006 @default.
- W1985094913 hasConceptScore W1985094913C33923547 @default.
- W1985094913 hasConceptScore W1985094913C34388435 @default.
- W1985094913 hasConceptScore W1985094913C41008148 @default.
- W1985094913 hasConceptScore W1985094913C45962547 @default.
- W1985094913 hasConceptScore W1985094913C51544822 @default.
- W1985094913 hasConceptScore W1985094913C62520636 @default.
- W1985094913 hasConceptScore W1985094913C78045399 @default.
- W1985094913 hasConceptScore W1985094913C93779851 @default.
- W1985094913 hasIssue "2" @default.
- W1985094913 hasLocation W19850949131 @default.
- W1985094913 hasOpenAccess W1985094913 @default.
- W1985094913 hasPrimaryLocation W19850949131 @default.
- W1985094913 hasRelatedWork W1511736731 @default.
- W1985094913 hasRelatedWork W184625755 @default.
- W1985094913 hasRelatedWork W2117274215 @default.
- W1985094913 hasRelatedWork W2121134348 @default.
- W1985094913 hasRelatedWork W2158167088 @default.