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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Asymptotic stability for abstract nonlinear functional differential equations


Author: G. F. Webb
Journal: Proc. Amer. Math. Soc. 54 (1976), 225-230
MSC: Primary 34K20; Secondary 47H15
MathSciNet review: 0402237
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Abstract: The nonlinear autonomous functional differential equation $ \dot x(t) = f(x(t)) + g({x_t}),t \geqslant 0,{x_0} = \phi $ is investigated by means of the theory of semigroups of nonlinear operators. The properties of the semigroup associated with this equation provide stability information about the solutions.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0402237-0
PII: S 0002-9939(1976)0402237-0
Keywords: Autonomous functional differential equation, stability, asymptotic stability, nonlinear accretive operator, nonlinear semigroup of operators
Article copyright: © Copyright 1976 American Mathematical Society



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