TY - JOUR
A2 - Machado, Josè A. Tenereiro
AU - Gil’, Michael
PY - 2016
DA - 2016/05/25
TI - On Stability of Vector Nonlinear Integrodifferential Equations
SP - 1478482
VL - 2016
AB - Let Ω be a bounded domain in a real Euclidean space. We consider the equation ∂u(t,x)/∂t=C(x)u(t,x)+∫ΩK(x,s)u(t,s)ds+[F(u)](t,x) (t>0; x∈Ω), where C(·) and K(·,·) are matrix-valued functions and F(·) is a nonlinear mapping. Conditions for the exponential stability of the steady state are established. Our approach is based on a norm estimate for operator commutators.
SN - 2356-7007
UR - https://doi.org/10.1155/2016/1478482
DO - 10.1155/2016/1478482
JF - International Journal of Engineering Mathematics
PB - Hindawi Publishing Corporation
KW -
ER -