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Integral manifolds of nonlinear singularly perturbed functional-differential equations. (Ukrainian. English summary) Zbl 0985.34066

Summary: The method of integral manifolds is applied to study singularly perturbed functional-differential equations. Conditions for the existence and properties of the integral manifolds of slow and fast variables are established. Applications to problems of decomposition and stability are analyzed.

MSC:

34K19 Invariant manifolds of functional-differential equations
34K26 Singular perturbations of functional-differential equations