Science and Education Publishing International Journal of Partial Differential Equations and Applications 2 4 2014 09 02 On a Nonlocal Problem with the Second Kind Integral Condition for a Parabolic Equation 62 67 EN Olga Danilkina Department of Mathematics, the University of Dodoma, Dodoma, Tanzania IJPDEA2014241 10.12691/ijpdea-2-4-1 2014 08 12 2014 08 25 2014 09 02 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.