Abstract
The nonlocal initial value problem for an infinite system of parabolic semilinear functional-differential equations is studied. General operators of parabolic type of second order with variable coefficients are considered and the system is weakly coupled. We prove a theorem on existence of a classical solution in the class of continuous bounded functions and in the class of continuous functions satisfying a certain growth condition. Partial uniqueness result is obtained as well.
Citation
Anna Pudełko. "Monotone iterative method for infinite systems of parabolic functional-differential equations with nonlocal initial conditions." Topol. Methods Nonlinear Anal. 36 (1) 101 - 117, 2010.
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