Geodesic
Lyapunov Functionals of Constant Signs in the Stability Problem for a Functional-Differential Equation of Neutral Type
Matematičeskie zametki, Tome 83 (2008) no. 3, pp. 417-427

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We present a generalization of the Lyapunov functional method and use it to study the stability of nonautonomous functional-differential equations of neutral type with finite delay. This generalization is based on constructing the limit equations and the limit functionals.
Keywords: Lyapunov functional method, functional-differential equation, method of the limit equation, limit functional, Banach space. 
@article{MZM_2008_83_3_a7,
     author = {S. V. Pavlikov},
     title = {Lyapunov {Functionals} of {Constant} {Signs} in the {Stability} {Problem} for a {Functional-Differential} {Equation} of {Neutral} {Type}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {417--427},
     publisher = {mathdoc},
     volume = {83},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2008_83_3_a7/}
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S. V. Pavlikov. Lyapunov Functionals of Constant Signs in the Stability Problem for a Functional-Differential Equation of Neutral Type. Matematičeskie zametki, Tome 83 (2008) no. 3, pp. 417-427. http://geodesic.mathdoc.fr/item/MZM_2008_83_3_a7/