Floquet theory and stability of nonlinear integro-differential equations

Author： Agarwal Ravi   Bohner Martin   Domoshnitsky Alexander   Goltser Yakov  

Publisher： Springer Publishing Company

ISSN： 0236-5294

Source： Acta Mathematica Hungarica, Vol.109, Iss.4, 2005-11, pp. : 305-330

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Abstract

One of the classical topics in the qualitative theory of differential equations is the Floquet theory. It provides a means to represent solutions and helps in particular for stability analysis. In this paper first we shall study Floquet theory for integro-differential equations (IDE), and then employ it to address stability problems for linear and nonlinear equations.

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