We characterize a broad class of semilinear dense range operators GH: W→ Z given by the
following formula, GHw= Gw+ H (w), w∈ W, where Z, W are Hilbert spaces, G∈ L (W, Z) …

APPROXIMATE CONTROLLABILITY OF SEMILINEAR REACTION DIFFUSION
EQUATIONS Hugo Leiva Nelson Merentes and José L. Sánchez (Communi Page 1 …

Approximate controllability of two types of nonlinear stochastic generalized systems is
investigated in the sense of mild solution in Hilbert spaces. Firstly, the approximate …

We apply Rothe's type fixed point theorem to prove the interior approximate controllability of
the following semilinear heat equation: zt (t, x)= Δz (t, x)+ 1ωu (t, x)+ f (t, z (t, x), u (t, x)) in (0 …

We prove the interior approximate controllability of the following broad class of reaction
diffusion equation in the Hilbert spaces Z= L2 (Ω) given by z′=− Az+ 1ωu (t), t∈[0, τ], where …

In this paper we prove the interior approximate controllability of the following Semilinear
Heat Equation\left {z_ t (t, x)= Δ z (t, x)+ 1_ ω u (t, x)+ f (t, z, u (t, x)) & in\quad (0, τ * Ω,\z= 0 …

In this paper we study the controllability of the controlled Laguerre equation and the
controlled Jacobi equation. For each case, we find conditions which guarantee when such …

In this paper we give a necessary and sufficient conditions for exact and approximate
controllability of a wide class of linear infinite-dimensional non-autonomous control systems …

In this paper, the approximate controllability of an abstract model of stochastic semilinear
reaction diffusion equation in Hilbert spaces is considered. The existence and uniqueness of …

Approximate Controllability of Semilinear Cascade Systems in H = L2(Ω) Page 1 International
Mathematical Forum, Vol. 7, 2012, no. 57, 2797 - 2813 Approximate Controllability of …