Solutions of nonlinear boundary value problems by the decomposition method. (English) Zbl 0592.60048

Summary: Boundary value problems for a class of nonlinear operator equations are studied and a method for determining their solutions in approximated form is proposed, based on the Adomian decomposition procedure. The theory is applied with satisfactory results to the study of a classical boundary value problem in continuum mechanics.


60H99 Stochastic analysis
74A99 Generalities, axiomatics, foundations of continuum mechanics of solids
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