RELATIONSHIP BETWEEN STABLE MANIFOLDS AND UNSTABLE MANIFOLDS FOR FINITE DELAY PARTIAL FUNCTIONAL DIFFERENTIAL

Nguyen Thi Hanh; Nguyen Thi Thu Hang

Nguyen Thi Hanh Department of Basic Science, Hung Yen University of Technology and Education
Nguyen Thi Thu Hang Department of Basic Science, Hung Yen University of Technology and Education

Abstract

Based on the equation

we construct a homomorphism from the intersection of two integral manifolds to a subspace of the phase space . Here, the evolution family is generated by the family of linear operators in the Banach space X. The delay term h(t, z_t) satisfies the ψ-Lipschitz conditions, i.e., , where ψ(t) belongs to some classes of admissible function spaces. Our main method is based on the admissibility of function spaces.

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