Existence and regularity of solutions in $$\alpha $$-norm for some partial functional integrodifferential equations in banach spaces
Tóm tắt
Từ khóa
Tài liệu tham khảo
Diao, B., Ezzinbi, K., Sy, M.: Existence results in the $$\alpha $$-norm for a class of neutral partial functional integro-differential equation. Afrika matematica 26(7), 1621–1635 (2015)
Desch, W., Grimmer, R., Schappacher, W.: Some considerations for linear integrodifferential equtions. J. Math. Anal. Appl. 104, 219–234 (1984)
Ezzinbi, K., Touré, H., Zabsonré, I.: Existence and regularity of solutions for some partial functional integrodifferential equations in Banach spaces. Nonlinear Anal. 70, 2761–2771 (2009)
Gala, S., Ragusa, M.A.: Logarithmically improved regularity criterion for the Boussinesq equations in Besov spaces with negative indices. Appl. Anal. 95(6), 1271–1279 (2016)
Gala, S., Liu, Q., Ragusa, M.A.: A new regularity criterion for the nematic liquid crystal flows. Appl. Anal. 91(9), 1741–1747 (2012)
Grimmer, R., Pritchard, A.J.: Analytic resolvent operators for integral equations in a Banach space. J. Differ. Equ. 50(2), 234–259 (1983)
Grimmer, R.: Resolvent operators for integral equations in a Banach space. Trans. Am. Math. Soc. 273, 333–349 (1982)
Pazy, A.: Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer, Amsterdam (1983)
Ragusa, M.A.: Elliptic boundary value problem in vanishing mean oscillation hypothesis. Comment. Math. Univ. Carolin. 40(4), 651–663 (1999)
Travis, C.C., Webb, G.F.: Existence, stability, and compactness in the $$\alpha $$-norm for partial functional differential equations. Trans. Am. Math. Soc. 240, 129–143 (1978)