Electron. J. Diff. Eqns., Vol. 2007(2007), No. 137, pp. 1-9.

On the solvability of a fourth order operator differential equations

Ahmed Nouar

Abstract:
We establish sufficient conditions for the solvability of a fourth order operator differential equation. These conditions are expressed in terms of operator coefficients.

Submitted February 24, 2007. Published October 17, 2007.
Math Subject Classifications: 47E05, 35K20.
Key Words: Operator Pencil; operator differential equation; normal operator.

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Ahmed Nouar
Département des Sciences Fondamentales
Faculté des Sciences et des Sciences de L'Ingenieur
Université de Skikda, 21000 Skikda, Algeria
email: hamdensk21@Yahoo.fr

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