Stable manifolds for some partial neutral functional differential equations with non-dense domain

Jendoubi, Chiraz

doi:10.1216/jie-2019-31-3-343

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Generally speaking, the qualitative theory of solutions has always attracted researchers, see for instance [11, 13–18, 29, 31]. One of the important directions of the qualitative theory is looking for the almost automorphy of the solution.…”

Section: Introductionmentioning

confidence: 99%

Dichotomy and μ‐pseudo almost automorphic solutions for delayed partial functional differential equations in admissible spaces

Jendoubi

2020

Mathematische Nachrichten

Self Cite

View full text Add to dashboard Cite

We prove the existence and uniqueness of μ‐pseudo almost automorphic solution for a delayed non‐autonomous partial functional differential equation in the exponential dichotomic case, where the nonlinear operator F satisfies the φ‐Lipschitz condition and φ belongs to some admissible spaces. We further prove the existence of an invariant stable manifold around the μ‐pseudo almost automorphic solution in that case. An application is given to illustrate our theory.

show abstract

Section: Introductionmentioning

confidence: 99%