Evolution operators in empathy with a semi-group.
Evolution operators related to semi-groups of class (A).
Evolution semigroups for nonautonomous Cauchy problems.
Exact null internal controllability for the heat equation on unbounded convex domains
The liner parabolic equation ∂y ∂t − 1 2 Δy + F · ∇ y = 1 x1d4aa; 0 u with Neumann boundary condition on a convex open domain x1d4aa; ⊂ ℝd with smooth boundary is exactly null controllable on each finite interval if 𝒪0is an open subset of x1d4aa; which contains a suitable neighbourhood of the recession cone of x1d4aa; . Here,F : ℝd → ℝd is a bounded, C1-continuous function, and F = ∇g, where g is convex and coercive.
Examples of stable -semigroups
Existence and regularity for semilinear parabolic evolution equations
Existence and uniqueness of mild solutions of second order Volterra integrodifferential equations with nonlocal conditions.
Existence and uniqueness of solutions to a semilinear functional-differential evolution nonlocal Cauchy problem.
Existence of almost automorphic solutions to some classes of nonautonomous higher-order differential equations.
Existence of mild solutions of second-order neutral functional differential inclusions with nonlocal conditions in Banach spaces.
Existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations.
Existence of solutions for a second order abstract functional differential equation with state-dependent delay.
Existence of solutions for an abstract second-order differential equation with nonlocal conditions.
Existence of solutions for semilinear differential equations with nonlocal conditions in Banach spaces.
Existence of solutions for semilinear nonlocal Cauchy problems in Banach spaces.
Existence of solutions in the -norm for partial differential equations of neutral type with finite delay.
Existence of solutions of a second order abstract functional Cauchy problem with nonlocal conditions
We establish the existence of mild, strong, classical solutions for a class of second order abstract functional differential equations with nonlocal conditions.
Existence of solutions to a second order partial differential equation with nonlocal conditions.
Existence of solutions to neutral differential equations with deviated argument.
Existence of solutions to quasilinear functional differential equations.