On the Cauchy problem for linear PDEs with retarded arguments at derivatives

• Autorzy: Krzysztof A. Topolski
• Języki publikacji: EN

Abstrakty

EN

We present an existence theorem for the Cauchy problem related to linear partial differential-functional equations of an arbitrary order. The equations considered include the cases of retarded and deviated arguments at the derivatives of the unknown function. In the proof we use Tonelli's constructive method. We also give uniqueness criteria valid in a wide class of admissible functions. We present a set of examples to illustrate the theory.

Kategorie tematyczne

• 35G10: Initial value problems for linear higher-order equations
• 35A01: Existence problems: global existence, local existence, non-existence
• 35R10: Partial functional-differential equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 113
• Numer: 3
• Strony: 269-282

Daty

wydano

2015

Twórcy

autor

Krzysztof A. Topolski

• Institute of Mathematics, University of Gdańsk, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/ap113-3-4