A linear and semilinear abstract initial value problem with singularity

• Autorzy: Obłoza W.
• Języki publikacji: EN

Słowa kluczowe

EN

value problem; Banach space

PL

przestrzeń Banacha

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 1
• Strony: 71--90
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Obłoza W.

• Institute of Mathematics, Technical University of Kraków, ul. Warszawska 24, 31-155 Kraków, Poland

Bibliografia

• [1] J. Bochenek, An abstract semilinear first order differential equation in the hyperbolic case, Ann. Polon. Math. LXI.1 (1995), 13-23.
• [2] E. Hille, R.S. Philips, Functional analysis and semi-groups, Amer. Math. Soc. 1985.
• [3] M. Kozak, An abstract nonlinear temporally inhomogeneous equation, Demonstratio Math. 23 (1990), 97-107.
• [4] S. Krein, Linear differential equations in Banach space, Amer. Math. Soc. 1972.
• [5] W. Obłoza, Construction of the fundamental solution for the parabolic initial value problem with weak singularity, Bull. Polish Acad. Sci. vol. 45, no. 3 (1997) 269-279.
• [6] A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer 1983.
• [7] K. Taira, The theory of semigroups with weak singularity and its applications to partial differential equations, Tsukuba J. Math. Vol. 13 No 2 (1989), 513-562.
• [8] T. Winiarska, Differential Equations with Parameter, Technical University of Cracow, Monograph 68, 1988.
• [9] K. Yosida, Functional Analysis, New York, 1980.