Abstract variable domain hyperbolic differential equations

• Autorzy: Guezane-Lakoud A.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Banach space; functional equations; differential equations; variable domain

PL

przestrzeń Banacha; równania funkcyjne; równania różniczkowe; domeny zmienne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 4
• Strony: 883--892
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Guezane-Lakoud A.

• Department of Mathematics, Faculty of Sciences, University Badji Mokhtar, B.P. 12, 23000 Annaba, Algieria

Bibliografia

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• [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.