On the wave equations with a dissipation anda source of cubic convolution type in Rn

• Autorzy: Tatar N.-e.
• Języki publikacji: EN

Abstrakty

EN

We study the interaction between a dissipative term and a source term of cubic convolution type for the wave equation in Rn. These terms have both the same form and involve convolutions with a singular kernel. The investigation will depend on the coefficient of the source term which is a functions of the time variable. Some results on the boundedness of the solutions are proved. Moreover, we establish an asymptotic stability result.

Słowa kluczowe

EN

asymptotic behavior; cubic convolution; nonlinear dissipation; polynomial growth; singular kernel

PL

dyssypacja nieliniowa; krzywe trzeciego stopnia; zachowania asymptotyczne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 3
• Strony: 543--555
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Tatar N.-e.

• King Fahd University of Petroleum and Minerals, Department of Mathematical Sciences, Dhahran, 31261 Saudi Arabia

Bibliografia

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