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 |