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Języki publikacji
Abstrakty
An abstract problem is studied for a class of linear hyperbolic differential equations with variable domain and non-local boundary conditions. Existence and uniqueness of the strong solution are proved.
Wydawca
Czasopismo
Rocznik
Tom
Strony
883--892
Opis fizyczny
Bibliogr. 9 poz.
Twórcy
autor
- Department of Mathematics, Faculty of Sciences, University Badji Mokhtar, B.P. 12, 23000 Annaba, Algieria
Bibliografia
- [1] A. Brenner, Polyparabolic equations with two-dimensional time, (1998), Citeseer.nj.nec.com/13366.html.
- [2] R. M. Brown, W. Hu, G. M. Lieberman, Weak solutions of parabolic equations in non cylindrical domains, Proc. Amer. Math. Soc. 125 (1997), 1785-1795.
- [3] L. Gunter, R. Schnaubelt, Time dependent problems on non cylindrical domains with inhomogeneous boundary conditions, Jour. Evol. Eq, VI, N°3 (2001), 291-309.
- [4] A. Guezane-Lakoud, On a class of hyperbolic equation with abstract non-local boundary conditions, Internat. J. Appl. Sci. Comput. Vol 8, N°2 (2001), 110-118.
- [5] A. Guezane-Lakoud, F. Rebbani, Strong solution for an abstract non local boundary value problem, Internat. J. Appl. Math. V 4, N°4 (2000), 469-478.
- [6] A. Guezane-Lakoud, F. Rebbani, N. I. Yurchuk, Problème aux limites pour une équation différentielle opérationnelle de second ordre, Maghreb. Mathematical Review. V.6. N°1 (1997), 39-48.
- [7] S. G. Krein, Linear differential equation in Banach space, Engl-Trans Am. Math. Soc. (1972).
- [8] F. E. Lomovtsev, Abstract evolution equations with discontinuous operator coefficients, Diff. Uravn, 31, N°7 (1995), 1132-1141.
- [9] F. E. Lomovtsev, Necessary and sufficient conditions for the unique solvability of the Cauchy problem for the second order hyperbolic equations with a variable domain of operator coefficients, Diff. Uravn, 28, N°5 (1992), 873-886.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0011-0019