Araújo, Anderson Luis Albuquerque deMagalhães, Paulo Marcelo Dias de2015-03-122015-03-122015ARAÚJO, A. L. A. de; MAGALHÃES, P. M. D. de. Existence of solutions and optimal control for a model of tissue invasion by solid tumours. Journal of Mathematical Analysis and Applications, v. 421, p. 842-877, 2015. Disponível em: <http://www.sciencedirect.com/science/article/pii/S0022247X14006817>. Acesso em: 09 mar. 2015.0022-247Xhttp://www.repositorio.ufop.br/handle/123456789/4598In this paper we study the distributed optimal control problem for the two-dimensional mathematical model of cancer invasion. Existence of optimal state-control and stability is proved and an optimality system is derived.en-USFixed point theoremOptimal controlTumour invasion of tissueArtigo publicado em periodicoO periódico Journal of Mathematical Analysis and Applications concede permissão para depósito do artigo no Repositório Institucional da UFOP. Número da licença: 3584830097489.https://doi.org/10.1016/j.jmaa.2014.07.038