Displaying similar documents to “Stability and boundedness of solutions to certain fourth-order differential equations.”

H 1 -stability of mKdV multi-kinks

Claudio Muñoz (2011)

Journées Équations aux dérivées partielles

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We describe some recent results concerning the nonlinear L 2 -stability of multi-solitons of the Korteweg-de Vries equation [], and H 1 -stability of multi-kinks of the modified Korteweg-de Vries []. The proof of both results is closely linked to stability properties for solitons of the integrable Gardner equation, which have been considered by Martel, Merle and Tsai [, ].

An application of the second Lyapunov method to stability investigation of differential equations with deviations

Denis Khusainov (1998)

Archivum Mathematicum

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The paper presents overview of applications of A. M. Lyapunov’s direct method to stability investigation of systems with argument delay. Methods of building Lyapunov-Krasovskiy funcionals for linear systems with constant coefficients are considered. Lyapunov quadratic forms are used to obtain applicable methods for stability investigation and estimation of solution convergence for linear stationary systems, as well as non-linear control systems and systems with quadratic and rational...