Existence, decay and blow up of solutions for the extensible beam equation with nonlinear damping and source terms
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 pr...
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Format: | Article |
Language: | English |
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De Gruyter
2015-06-01
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Series: | Open Mathematics |
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Online Access: | http://www.degruyter.com/view/j/math.2015.13.issue-1/math-2015-0040/math-2015-0040.xml?format=INT |