Monotone iterative method for infinite systems of parabolic functional-differential equations with nonlocal initial conditions
KeywordsInfinite systems, nonlocal parabolic Cauchy problem, functional-differential equations and inequalities, existence and uniqueness of solutions, monotone iterative method
AbstractThe 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.
How to Cite
PUDELKO, Anna. Monotone iterative method for infinite systems of parabolic functional-differential equations with nonlocal initial conditions. Topological Methods in Nonlinear Analysis [online]. 23 April 2010, T. 36, nr 1, s. 101–117. [accessed 30.3.2023].
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