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Periodic solutions of an abstract third-order differential equation
(2013)
Using operator valued Fourier multipliers, we characterize maximal regularity for the abstract third-order differential equation αu′″ (t)+u″ (t) = βAu(t)+γBu′(t) + f(t) with boundary conditions u(0) = u(2π), u′(0) = u′(2π) ...
Maximal L-p-regularity for fractional differential equations on the line
(Wiley, 2017)
We characterize the L-p-maximal regularity of an abstract fractional differential equation with delay on the Lebesgue spaces. The method is based on the theory of operator-valued Fourier multipliers and weighted Sobolev ...
Periodic solutions of fractional differential equations with delay
(BIRKHAUSER VERLAG AG, 2011-03)
In this paper, we give a necessary and sufficient conditions for the existence and uniqueness of
periodic solutions of inhomogeneous abstract fractional differential equations with delay. The conditions
are obtained in ...
Maximal Lp-regularity for fractional differential equations on the line
(Wiley-VCH Verlag, 2017)
© 2017 WILEY-VCH Verlag GmbH & Co. KGaA, WeinheimWe characterize the Lp -maximal regularity of an abstract fractional differential equation with delay on the Lebesgue spaces. The method is based on the theory of operator-valued ...
Estimates for Fourier sums and eigenvalues of integral operators via multipliers on the sphere
(Universidade de São Paulo - USPInstituto de Matemática e Estatística - IME/USPSão Paulo, 2014-12)
Fourier multipliers and periodic solutions of delay equations in banach spaces
(ACADEMIC PRESS, 2006)
Fourier multipliers and integro-differential equations in banach spaces
(HODGSON CF AND SON LTD, 2004)
Periodic solutions of neutral fractional differential equations
(Wiley, 2017)
We characterize the existence of periodic solutions for some abstract neutral functional fractional differential equations with finite delay when the underlying space is a UMD space.