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Existence of local stable manifolds for some nondensely defined nonautonomous partial functional differential equations.
- Source :
-
International Journal of Biomathematics . Nov2019, Vol. 12 Issue 8, pN.PAG-N.PAG. 15p. - Publication Year :
- 2019
-
Abstract
- In this paper, we establish the existence of local stable manifolds for a semi-linear differential equation, where the linear part is a Hille–Yosida operator on a Banach space and the nonlinear forcing term f satisfies the φ -Lipschitz conditions, where φ belongs to certain classes of admissible function spaces. The approach being used is the fixed point arguments and the characterization of the exponential dichotomy of evolution equations in admissible spaces of functions defined on the positive half-line. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17935245
- Volume :
- 12
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- International Journal of Biomathematics
- Publication Type :
- Academic Journal
- Accession number :
- 140958645
- Full Text :
- https://doi.org/10.1142/S1793524519500888