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Functional Differential Equations

  • Wolfgang KollmannEmail author
Chapter

Abstract

Equations determining a functional and involving variational derivatives are called functional differential equations (abbreviated by fde, list in Chap. 1). Definitions and elementary properties of such equations are discussed to prepare the subsequent development on fdes. Two types of such equations are considered: elliptic and parabolic fdes.

Reference

  1. 1.
    Dalecky, YuL, Fomin, S.V.: Measures and Differential Equations in Infinite-Dimensional Space. Kluwer Academic Publication, Dordrecht (1991)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringUniversity of California DavisDavisUSA

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