Nonnegative point spectrum for differential equations with infinite delays
Ferreira, José M. (1981)
Portugaliae mathematica
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Displaying similar documents to “Stability and saddle-point property for a linear autonomous functional parabolic equation”
Nonnegative point spectrum for differential equations with infinite delays
Characteristic equations for the spectrum of generators
Rainer Nagel (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Solution semigroup and invariant manifolds for functional equations with infinite delay
Hana Petzeltová (1993)
Mathematica Bohemica
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It is proved that parabolic equations with infinite delay generate -semigroup on the space of initial conditions, such that local stable and unstable manifolds can be constructed for a fully nonlinear problems with help of usual methods of the theory of parabolic equations.
On generalized Wazewski and Lozinskii inequalities for semilinear abstract differential-delay equations.
Gil', M.I. (1998)
Journal of Inequalities and Applications [electronic only]
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Local center manifold for parabolic equations with infinite delay
Hana Petzeltová (1994)
Mathematica Bohemica
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The existence and attractivity of a local center manifold for fully nonlinear parabolic equation with infinite delay is proved with help of a solutions semigroup constructed on the space of initial conditions. The result is applied to the stability problem for a parabolic integrodifferential equation.