Existence, decay and blow up of solutions for the extensible beam equation with nonlinear damping and source terms

• Autorzy: Erhan Pişkin
• Języki publikacji: EN

Abstrakty

EN

We consider the existence, both locally and globally in time, the decay and the blow up of the solution for the extensible beam equation with nonlinear damping and source terms. We prove the existence of the solution by Banach contraction mapping principle. The decay estimates of the solution are proved by using Nakao’s inequality. Moreover, under suitable conditions on the initial datum, we prove that the solution blow up in finite time.

Słowa kluczowe

EN

Extensible beam equation; Existence; Decay; Blow up

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2014-12-16

zaakceptowano

2015-06-17

online

2015-06-26

Twórcy

autor

Erhan Pişkin

• Dicle University, Department of Mathematics, 21280 Diyarbakır, Turkey

Bibliografia

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Identyfikatory

DOI

10.1515/math-2015-0040