E. T. Kolkovska, José Alfredo López Mimbela, José Hermenegildo Ramírez González
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Existence of global solutions of a nonautonomous semilinear equation with varying reaction
Abstract Let be a generating function, where are nonnegative measurable functions, and let be a continuous function. We prove that reaction-diffusion equations of the prototype possess nontrivial positive global solutions under suitable assumptions on and