Existence for Korteweg-de Vries-type equation with delay. (English) Zbl 1302.35343
Summary: 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.
MSC:
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 35R10 | Partial functional-differential equations |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
Keywords:
Korteweg-de Vries type equation with delay; initial-value problem; evolution system; mild solutions; semigroupReferences:
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