Geodesic
Inertial manifolds for retarded second order in time evolution equations in admissible spaces
Cung The Anh1 ; Le Van Hieu2
1Department of Mathematics Hanoi National University of Education 136 Xuan Thuy, Cau Giay Hanoi, Vietnam
2The Academy of Journalism and Communication 36 Xuan Thuy, Cau Giay Hanoi, Vietnam
Annales Polonici Mathematici, Tome 108 (2013) no. 1, pp. 21-42
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Using the Lyapunov–Perron method, we prove the existence of an inertial manifold for the process associated to a class of non-autonomous semilinear hyperbolic equations with finite delay, where the linear principal part is positive definite with a discrete spectrum having a sufficiently large distance between some two successive spectral points, and the Lipschitz coefficient of the nonlinear term may depend on time and belongs to some admissible function spaces.
DOI : 10.4064/ap108-1-3
Keywords: using lyapunov perron method prove existence inertial manifold process associated class non autonomous semilinear hyperbolic equations finite delay where linear principal part positive definite discrete spectrum having sufficiently large distance between successive spectral points lipschitz coefficient nonlinear term may depend time belongs admissible function spaces

Cung The Anh  1   ; Le Van Hieu  2

1 Department of Mathematics Hanoi National University of Education 136 Xuan Thuy, Cau Giay Hanoi, Vietnam
2 The Academy of Journalism and Communication 36 Xuan Thuy, Cau Giay Hanoi, Vietnam 
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 evolution equations in admissible spaces},
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 evolution equations in admissible spaces
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 evolution equations in admissible spaces
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Cung The Anh; Le Van Hieu. Inertial manifolds for retarded second order in time
 evolution equations in admissible spaces. Annales Polonici Mathematici, Tome 108 (2013) no. 1, pp. 21-42. doi: 10.4064/ap108-1-3

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