Geodesic
A Kneser Theorem for Higher order Elliptic Equations
Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 1-8

Voir la notice de l'article provenant de la source Cambridge University Press

The problem of establishing oscillation and non-oscillation criteria for elliptic equations has recently been considered by several authors. Extensive bibliographies may be found in the books by C. A. Swanson, [7], and by K. Kreith, [3].Most of the interest has so far centered on equations of second order with some results also established for fourth order equations. Non-oscillation theorems for higher order equations have recently been established by the author, [1], and by Noussair and Yoshida, [5]. In particular, both in [1] and [5], Kneser-type theorems were established for classes of higher order elliptic equations. 
Allegretto, W. A Kneser Theorem for Higher order Elliptic Equations. Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 1-8. doi: 10.4153/CMB-1977-001-6
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[1] 1. Allegretto, W., Nonoscillation theory of elliptic equations of order 2n, Pacific J. Math., 64 (1976), 1-16. Google Scholar

[2] 2. Friedman, A., Partial differential equation, Holt, Rinehart and Winston, Inc., New York 1969. Google Scholar

[3] 3. Kreith, K., Oscillation theory, Lecture Notes in Mathematics, Vol. 324, Springer-Verlag, Berlin 1973. Google Scholar

[4] 4. Noussair, E. S., Oscillation theory of elliptic equations of order 2m, J. Differential Equations 10 (1971), 100-111. MR43, #6564. Google Scholar

[5] 5. Noussair, E. and Yoshida, N., Nonoscillation criteria for elliptic equations of order 2 m, submitted for publication. Google Scholar

[6] 6. Rellich, F., Perturbation theory of eigenvalue problems, Gordon and Breach, New York 1969. MR39, #2014. Google Scholar

[7] 7. Swanson, C. A., Comparison and oscillation theory of linear differential equations Academic Press, New York and London, 1968. Google Scholar

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