摘要:The existence and uniqueness of the Korteweg-de Vries type equation with time delay are investigated. The problem is formulated as an abstract quasi-linear function differential equation. The solution is studied as a fixed point of the abstract integral equation. AMS Subject Classification: 39A14; 35G25.
关键词:Korteweg-de Vries type equation with delay ; initial-value problem ; evolution system ; mild solutions ; semigroup