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Partial Neutral Functional Differential Equations with Infinite Delay

A Contribution to Quantitative and Qualitative Aspects of Study in Infinite Dimension

Jezik AngleščinaAngleščina
Knjiga Mehka
Knjiga Partial Neutral Functional Differential Equations with Infinite Delay Hassane Bouzahir
Koda Libristo: 06834101
Založba VDM Verlag, oktober 2010
In this book, we deal with a class of partial (neutral) functional differential equations with infin... Celoten opis
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In this book, we deal with a class of partial (neutral) functional differential equations with infinite delay. We, first, present some results on functional analysis which are useful. We give an axiomatic presentation of the fundamental theory of the phase space and recall some results on integrated semigroups theory. Then, we discuss existence and regularity of solutions in the case where the nonlinear part F is continuous and Lipschitzian with respect to the second variable. After that, we study existence and regularity of solutions in the case where F is locally Lipschitzian. In the case where global existence is verified, we prove that the solution defines a semigroup that satisfies the translation property. This permits us to study stability of an equilibrium point and prove existence of a global attractor. Besides, we give other sufficient conditions for existence and regularity of solutions, and in the autonomous case; we study stability of an equilibrium point. At the end, we investigate existence of periodic solutions in the case where F is periodic in t.

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O knjigi

Polni naslov Partial Neutral Functional Differential Equations with Infinite Delay
Jezik Angleščina
Vezava Knjiga - Mehka
Datum izida 2010
Število strani 124
EAN 9783639268119
ISBN 3639268113
Koda Libristo 06834101
Založba VDM Verlag
Teža 191
Mere 152 x 229 x 7
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