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Theory of functional differential equations and applications. (English) Zbl 1228.34001
A survey of the theory of functional differential equations worked out by participants of the Perm Seminar, Russia, is presented. Apart from the presentation of the general theory of functional differential equations, a survey on several issues, such as linear and nonlinear equations, asymptotic and stability theory, boundary value problems on the semiaxis, quadratic equations, singular problems, control problems and stochastic equations, is also given. Examples of new approaches to some classical problems are also presented. A large number of bibliographical references is also included in this survey article.

MSC:
34-02 Research exposition (monographs, survey articles) pertaining to ordinary differential equations
34K10 Boundary value problems for functional-differential equations
34K20 Stability theory of functional-differential equations
34K35 Control problems for functional-differential equations
34K50 Stochastic functional-differential equations
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