Existence, uniqueness and continuous dependence for hereditary systems View Full Text


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Article Info

DATE

1970-12

AUTHORS

J. K. Hale, M. A. Cruz

ABSTRACT

An hereditary system is a system whose present state is determined in some way by its past history. We formulate a class of such systems which includes functional differential equations of retarded type and many equations of neulral type as well as Volterra integral equations. Theorems of existence, uniqueness, continuation and continuous dependence are proved. More... »

PAGES

63-81

References to SciGraph publications

  • 1965-01. Existence and continuous dependence of solutions of a neutral functional-differential equation in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1967-09. Hereditary structure in differential equations in MATHEMATICAL SYSTEMS THEORY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf02413530

    DOI

    http://dx.doi.org/10.1007/bf02413530

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1034554096


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