Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 69, pp. 1-15. Title: Infinitely many solutions for nonlocal elliptic systems of $(p_1,...,p_n)$-Kirchhoff type Authors: Shapour Heidarkhani (Razi Univ., Kermanshah, Iran) Johnny Henderson (Baylor Univ., Waco, TX, USA) Abstract: We establish the existence of infinitely many solutions for a class of nonlocal elliptic systems of (p_1,...,p_n)-Kirchhoff type. Our approach is based on variational methods. Submitted April 17, 2012. Published May 02, 2012. Math Subject Classifications: 35A05, 35A15. Key Words: Infinitely many solutions; Kirchhoff type system; critical point theory; variational methods.