Exponential stability and blow-up for abstract nonlinear system with source terms

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wang.pdf (210.83 KB)
Date
2017-11-28
Authors
Wang, Peipei
Hao, Jianghao
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we consider an abstract nonlinear system with nonlinear source terms. We prove the exponential stability by the energy method. Also under suitable conditions on the initial values, we show that the nonlinear source terms are able to guarantee the blow-up of the solutions by convex method.
Description
Keywords
Abstract nonlinear system, Exponential decay, Convex method, Blow-up
Citation
Wang, P., & Hao, J. (2017). Exponential stability and blow-up for abstract nonlinear system with source terms. <i>Electronic Journal of Differential Equations, 2017</i>(297), pp. 1-10.
URI
https://hdl.handle.net/10877/16169
Collections
Electronic Journal of Differential Equations