117 research outputs found
On the dichotomy of a system of linear differential equations with conditionally periodic coefficients
Positive solutions of a discrete nonlinear third-order three-point eigenvalue problem with sign-changing Greenās function
Spectral criterion of stochastic stability for invariant manifolds 1
The mean square stability for invariant manifolds of nonlinear stochastic differential equations is considered. The stochastic stability analysis is reduced to the estimation of the spectral radius of some positive operator. For the important case of manifolds with codimension one, a constructive spectral analysis of this operator is carried out. On the basis of this spectral technique, parametrical criteria of the stochastic stability of limit cycle and 2-torus are developed. Ā© 2013 Springer Science+Business Media New York
Fredholm-type theorem for boundary value problems for systems of nonlinear functional differential equations
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