The Global Existence of Nonlinear Evolutionary Equation with Small Delay
We investigate the global existence of the delayed nonlinear evolutionary equation ∂tu+Au=f(u(t),u(t−τ)). Our work space is the fractional powers space Xα. Under the fundamental theorem on sectorial operators, we make use of the fixed-point principle to prove the local existence and uniqueness theo...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/257140 |