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;xΩ), 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 -