eng Science and Education Publishing International Journal of Partial Differential Equations and Applications 2014-09-02 2 4 62 67 10.12691/ijpdea-2-4-1 IJPDEA2014241 article Olga Danilkina olga.danilkina@udom.ac.tz 1 Department of Mathematics, the University of Dodoma, Dodoma, Tanzania In this article we consider a nonlocal problem with the second kind integral condition for a parabolic equation. Under some conditions on initial data we proved existence and uniqueness of a generalized solution applying the method of a priori estimates and a parameter continuation method. http://pubs.sciepub.com/ijpdea/2/4/1/ijpdea-2-4-1.pdf nonlocal condition nonlocal problem parabolic equation parameter continuation method