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L'equazioney″+2α[(x-a)y]′+4βy(1-x 2)−1=0 (1965)

Sansone, G. ; Merli, L.

Springer

Annali di matematica pura ed applicata 67 (1965), S. 95-112

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ISSN: 1618-1891

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Description / Table of Contents: Summary It is proved the existence of infinite eigenvalues for the equation $$\frac{{d^2 y}}{{dx^2 }} + 2x\frac{d}{{dx}}[(x - a)y] + \frac{{4\beta y}}{{1 - x^2 }} = 0,$$ with the conditions y(-1)=0, y(1)=0. Two methods of numerical calculus for the evoluation of the least eigenvalue are also indicated.

Notes: Sunto Per l'equazione $$\frac{{d^2 y}}{{dx^2 }} + 2x\frac{d}{{dx}}[(x - a)y] + \frac{{4\beta y}}{{1 - x^2 }} = 0,$$ con le condizioni ai limiti y(−1)=0,y (1)=0, si dimostra l'esistenza di infiniti autovalori e si indicano dei procedimenti di calcolo numerico per la determinazione del primo autovalore.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02410806

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