MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
ON SINGULAR FIFTH-ORDER BOUNDARY VALUE PROBLEMS WITH DEFICIENCY INDICES $\boldsymbol{(5,5)}$
E. U\u{g}urlu, K. Taş

Abstract

This paper is devoted to introduce a way of construction of the well-defined boundary conditions for the solutions of a singular fifth-order equation with deficiency indices $(5,5)$. Imposing suitable separated and coupled boundary conditions some properties of the eigenvalues of the problems have been investigated.

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Keywords: Fifth-order equation; eigenvalue problems; boundary conditions.

MSC: 34B05, 34B40, 34B09

Pages:  79$-$88     

Volume  74 ,  Issue  2 ,  2022