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Nonlinear differential inequality
Article (publisher version)
Publication Date:
2011
Journal:
Mathematical Inequalities & Applications , Volume:
14 , Issue:
4 , Starting Page:
967 , Ending Page:
976
Files in this item
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Abstract:
A nonlinear differential inequality is formulated in the paper. An estimate of the rate of growth/decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynamical systems and nonlinear evolution equations in Banach spaces. It is applied to a study of global existence of solutions to nonlinear partial differential equations.
Keywords: Nonlinear inequality; Dynamical Systems Method (DSM); Stability
URL for this item:
http://hdl.handle.net/2097/13931
Publisher URL:
http://mia.ele-math.com
Permissions:
Permission to archive granted by Mathematical Inequalities & Applications, May 8, 2012.