Monotone iterative method for infinite systems of parabolic functional-differential equations with nonlocal initial conditions
Keywords
Infinite systems, nonlocal parabolic Cauchy problem, functional-differential equations and inequalities, existence and uniqueness of solutions, monotone iterative methodAbstract
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.Downloads
Published
2010-04-23
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1.
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. Vol. 36, no. 1, pp. 101 - 117. [Accessed 29 March 2024].
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