Abstract
Perturbed partial functional and neutral functional evolution equations with finite and infinite delay are studied in this chapter on the semi-infinite interval \(\mathbb{R}_{+}.\)
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
M. Adimy, K. Ezzinbi, A class of linear partial neutral functional differential equations with nondense domain J. Differ. Equ. 147, 285–332 (1998)
M. Adimy, K. Ezzinbi, Existence and linearized stability for partial neutral functional differential equations with nondense domains. Differ. Equ. Dyn. Syst. 7, 371–417 (1999)
M. Adimy, H. Bouzahir, K. Ezzinbi, Existence and stability for some partial neutral functional differential equations with infinite delay. J. Math. Anal. Appl. 294, 438–461 (2004)
N.U. Ahmed, Dynamic Systems and Control with Applications (World Scientific, Hackensack, 2006)
S. Baghli, M. Benchohra, Uniqueness results for evolution equations with infinite delay in Fréchet spaces. Fixed Point Theory 9, 395–406 (2008)
S. Baghli, M. Benchohra, Perturbed functional and neutral functional evolution equations with infinite delay in Fréchet spaces. Electron. J. Differ. Equ. 69, 1–19 (2008)
K. Balachandran, E.R. Anandhi, Controllability of neutral integrodifferential infinite delay systems in Banach spaces. Taiwan. J. Math. 8, 689–702 (2004)
M. Belmekki, M. Benchohra, S.K. Ntouyas, Existence results for semilinear perturbed functional differential equations with nondensely defined operators. Fixed Point Theory Appl. 2006, 1–13 (2006)
A. Freidman, Partial Differential Equations (Holt, Rinehat and Winston, New York, 1969)
S.G. Krein, Linear Differential Equations in Banach Spaces (The American Mathematical Society, Providence, 1971)
J. Liang, T. Xiao, The cauchy problem for nonlinear abstract fuctionnal differential with infinte delay. Comput. Math. Appl. 40 (6&7), 693–707 (2000)
A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations (Springer, New York, 1983)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Abbas, S., Benchohra, M. (2015). Perturbed Partial Functional Evolution Equations. In: Advanced Functional Evolution Equations and Inclusions. Developments in Mathematics, vol 39. Springer, Cham. https://doi.org/10.1007/978-3-319-17768-7_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-17768-7_4
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-17767-0
Online ISBN: 978-3-319-17768-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)