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Generalized Cauchy problems for hyperbolic functional differential systems

Tom 110 / 2014

Elżbieta Puźniakowska-Gałuch Annales Polonici Mathematici 110 (2014), 33-53 MSC: 35R10, 35F25, 35A05. DOI: 10.4064/ap110-1-4

Streszczenie

A generalized Cauchy problem for hyperbolic functional differential systems is considered. The initial problem is transformed into a system of functional integral equations. The existence of solutions of this system is proved by using the method of successive approximations. Differentiability of solutions with respect to initial functions is proved. It is important that functional differential systems considered in this paper do not satisfy the Volterra condition.

Autorzy

  • Elżbieta Puźniakowska-GałuchInstitute of Mathematics
    University of Gdańsk
    Wit Stwosz Street 57
    80-952 Gdańsk, Poland
    e-mail

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