On nonexistence of global in time solution for a mixed problem for a nonlinear evolution equation with memory generalizing the Voigt-Kelvin rheological model

• Autorzy: Pukach P. , Il'kiv V. , Nytrebych Z. , Vovk M.

Identyfikatory

DOI

10.7494/OpMath.2017.37.5.735

• Języki publikacji: EN

Abstrakty

EN

The paper deals with investigating of the first mixed problem for a fifth-order nonlinear evolutional equation which generalizes well known equation of the vibrations theory. We obtain sufficient conditions of nonexistence of a global solution in time variable.

Słowa kluczowe

EN

boundary value problem; beam vibrations; nonlinear evolution equation; Voigt-Kelvin model; memory; blowup

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2017
• Tom: Vol. 37, no. 5
• Strony: 735--753
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Pukach P.

• Lviv Polytechnic National University Department of Mathematics St. Bandery Str. 12, 79013, Lviv, Ukraine

autor

Il'kiv V.

• Lviv Polytechnic National University Department of Mathematics St. Bandery Str. 12, 79013, Lviv, Ukraine

autor

Nytrebych Z.

• Lviv Polytechnic National University Department of Mathematics St. Bandery Str. 12, 79013, Lviv, Ukraine

autor

Vovk M.

• Lviv Polytechnic National University Department of Mathematics St. Bandery Str. 12, 79013, Lviv, Ukraine

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).