Energy decay result for a nonlinear wave p-Laplace equation with a delay term

• Autorzy: Zennir K. , Laouar L. K.

Identyfikatory

DOI

10.14708/ma.v45i1.603

Warianty tytułu

PL

Wynik zaniku energii dla równania p-Laplace'a fal nieliniowych

• Języki publikacji: EN

Abstrakty

EN

We consider the nonlinear (in space and time) wave equation with delay term in the internal feedback. Under conditions on the delay term and the term without delay, we study the asymptotic behavior of solutions using the multiplier method and general weighted integral inequalities.

PL

Rozważamy nieliniowe równanie falowe (w czasie i przestrzeni) z członem wewnętrznego sprzężenia zwrotnego. Przy pewnych warunkach na poszczególne człony równania badane jest asymptotyczne zachowanie rozwiązań.

Słowa kluczowe

EN

nonlinear wave equation; time delay term; decay rate; multiplier method; p-Laplacian

PL

nieliniowe równanie falowe; szybkość rozpadu; metoda mnożnikowa; p-Laplacian

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Mathematica Applicanda
• Rocznik: 2017
• Tom: Vol. 45, No. 1
• Strony: 65--80
• Opis fizyczny: Bibliogr. 24 poz., fot.

Twórcy

autor

Zennir K.

• Qassim University, Department of Mathematics, College of Sciences and Arts, Ar-Rass, Al-Kasim, Kingdom of Saudi Arabia
• Laboratory LAMAHIS, University 20 Aôut 1955, Department of Mathematics, Faculty of Sciences, Skikda, Alegeria

autor

Laouar L. K.

• University of Constantine 1, Department of Mathematics, Faculty of Sciences, Algeria

Bibliografia

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Uwagi

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