Existence and regularity of solutions for hyperbolic functional differential problems

• Autorzy: Kamont Z.

Identyfikatory

DOI

http://dx.doi.org/10.7494/OpMath.2014.34.2.217

• Języki publikacji: EN

Abstrakty

EN

A generalized Cauchy problem for quasilinear hyperbolic functional differential systems is considered. A theorem on the local existence of weak solutions is proved. The initial problem is transformed into a system of functional integral equations for an unknown function and for their partial derivatives with respect to spatial variables. The existence of solutions for this system is proved by using a method of successive approximations. We show a theorem on the differentiability of solutions with respect to initial functions which is the main result of the paper.

Słowa kluczowe

EN

functional differential equations; weak solutions; Haar pyramid; differentiability with respect to initial functions

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2014
• Tom: Vol. 34, no. 2
• Strony: 217--242
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Kamont Z.

• University of Gdansk Institute of Mathematics Wit Stwosz Street 57, 80-952 Gdansk

Bibliografia

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