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- Bendixson–Dulac_theorem abstract "In mathematics, the Bendixson–Dulac theorem on dynamical systems states that if there exists a function (called the Dulac function) such that the expressionhas the same sign almost everywhere in a simply connected region of the plane, then the plane autonomous system has no periodic solutions lying entirely within the region. "Almost everywhere" means everywhere except possibly in a set of measure 0, such as a point or line.The theorem was first established by Swedish mathematician Ivar Bendixson in 1901 and further refined by French mathematician Henri Dulac in 1933 using Green's theorem.".
- Bendixson–Dulac_theorem wikiPageID "634543".
- Bendixson–Dulac_theorem wikiPageRevisionID "571715560".
- Bendixson–Dulac_theorem subject Category:Differential_equations.
- Bendixson–Dulac_theorem subject Category:Theorems_in_dynamical_systems.
- Bendixson–Dulac_theorem comment "In mathematics, the Bendixson–Dulac theorem on dynamical systems states that if there exists a function (called the Dulac function) such that the expressionhas the same sign almost everywhere in a simply connected region of the plane, then the plane autonomous system has no periodic solutions lying entirely within the region.".
- Bendixson–Dulac_theorem label "Bendixson–Dulac theorem".
- Bendixson–Dulac_theorem label "Teorema di Bendixson-Dulac".
- Bendixson–Dulac_theorem label "本迪克森-杜拉克定理".
- Bendixson–Dulac_theorem sameAs Bendixson%E2%80%93Dulac_theorem.
- Bendixson–Dulac_theorem sameAs Teorema_di_Bendixson-Dulac.
- Bendixson–Dulac_theorem sameAs Q737892.
- Bendixson–Dulac_theorem sameAs Q737892.
- Bendixson–Dulac_theorem wasDerivedFrom Bendixson–Dulac_theorem?oldid=571715560.