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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… Click to show full abstract
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.
Keywords:
functional differential;
dichotomy pseudo;
admissible spaces;
partial functional;
almost automorphic;
pseudo almost
Journal Title: Mathematische Nachrichten
Year Published: 2020
Link to full text (if available)
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Journal Title: Mathematische Nachrichten
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!