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In this book, we analyze different types of partial differential equations, partial functional differential equations and partial integro-differential equations with nonlocal boundary conditions. We prove the existence and uniqueness theorems for the considered problems. Our work extends the application of the method of lines to the problems with nonlocal integral boundary conditions. The results obtained may be applied to functional differential equations arising in the modeling of many physical problems, for instance, the population dynamics, the heat diffusion process and other related problems.