Maximal regularity of delay equations in Banach spaces
We characterize existence and uniqueness of solutions for an inhomogeneous abstract delay equation in Hölder spaces. The main tool is the theory of operator-valued Fourier multipliers.
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Maximal regularity of second-order evolution equations with infinite delay in Banach spaces
Xianlong Fu, Ming Li (2014)
Studia Mathematica
By using Fourier multiplier theorems we characterize the existence and uniqueness of periodic solutions for a class of second-order differential equations with infinite delay. We also establish maximal regularity results for the equations in various spaces. An example is provided to illustrate the applications of the results obtained.
Method of semidiscretization in time to nonlinear retarded differential equations with nonlocal history conditions.
Agarwal, S., Bahuguna, D. (2004)
International Journal of Mathematics and Mathematical Sciences
Monotone iterative method for abstract impulsive integro-differential equations with nonlocal conditions in Banach spaces
Pengyu Chen, Yongxiang Li (2014)
Applications of Mathematics
In this paper we use a monotone iterative technique in the presence of the lower and upper solutions to discuss the existence of mild solutions for a class of semilinear impulsive integro-differential evolution equations of Volterra type with nonlocal conditions in a Banach space
Multiple positive solutions for second order impulsive boundary value problems in Banach spaces.
Lv, Zhi-Wei, Liang, Jin, Xiao, Ti-Jun (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Multiple solutions for impulsive semilinear functional and neutral functional differential equations in Hilbert space.
Benchohra, M., Henderson, J., Ntouyas, S.K., Ouahab, A. (2005)
Journal of Inequalities and Applications [electronic only]
Multivalued evolution equations with infinite delay in Fréchet spaces.
Baghli, S., Benchohra, M. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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