Integral manifold of the parabolic differential equation with deviating argument. (English) Zbl 0696.35079

Kossaczká, Ľubica

Commentat. Math. Univ. Carol. 30, No. 2, 253-260 (1989).

The integral manifold for the problem \[ du/dt+Au=Lu_ t+\epsilon F(t,u_ t);\quad u_ 0=\phi;\quad u(0)=x \] is constructed, where L is a linear operator, \(u_ t\) denotes the deviation of u and A is a sectorial operator.

Reviewer: L.Kossaczká

MSC:

35K55	Nonlinear parabolic equations
35R10	Partial functional-differential equations

Keywords:

functional differential equations; integral manifold