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Stability and asymptotic stability of -methods for nonlinear stiff Volterra functional differential equations in Banach spaces
Authors:Liping Wen  Yuexin Yu  Shoufu Li
Institution:aSchool of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan, 411105, PR China
Abstract:This paper is concerned with the stability and asymptotic stability of θ-methods for the initial value problems of nonlinear stiff Volterra functional differential equations in Banach spaces. A series of new stability and asymptotic stability results of θ-methods are obtained.
Keywords:Stability  Asymptotic stability  Volterra functional differential equations  color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6TYH-4V42J78-2&_mathId=mml14&_user=10&_cdi=5619&_rdoc=4&_acct=C000053510&_version=1&_userid=1524097&md5=ccb71f4b16e3f6009c4e4a18f5acdd5f" title="Click to view the MathML source"  θ" target="_blank">alt="Click to view the MathML source">θ  -methods  Banach space
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