Taylor, Willie E.:
On the solutions of certainnon-self-adjoint differential equations of fourth order
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 58 (1975), fasc. n.6, p. 851-860, (English)
pdf (644 Kb), djvu (975 Kb). | MR 0437854 | Zbl 0395.34033
Sunto
Con opportune ipotesi su p(x) si studia il comportamento asintotico degli integrali dell'equazione $y^{(4)} + (p(x) y)^{\prime} + p(x) y^{\prime} = 0$ e della sua equazione aggiunta.
Referenze Bibliografiche
[1]
J. DOLAN (
1970) -
On the Relationship Between the Oscillatory Behavior of a Linear Third Order Differential Equation and Its Adjoint, «
J. of Differential Equations»,
7, 367-388. |
fulltext (doi) |
MR 255908 |
Zbl 0191.10001[2]
M. HANAN (
1961) -
Oscillation Criteria for Third Order Differential Equations, «
Pacific Journal of Math.»,
11, 919-944. |
MR 145160 |
Zbl 0104.30901[3]
M. KEENER (
1972) -
On Oscillatory Solutions of Certain Fourth Order Linear Differential Equations, «
Siam Journal of Math. Anal.»,
3, 599-605. |
fulltext (doi) |
MR 315208 |
Zbl 0222.34037[4]
A. C. LAZER (
1966) -
The Behavior of Solutions of the Differential Equation $y^{\prime\prime\prime} + p(x) y^{\prime} + q(x) y = 0$, «
Pacific Journal of Mathematics»,
17, 435-465. |
MR 193332 |
Zbl 0143.31501[5]
A. C. PETERSON (
1969) -
Distribution of Zeros of Solutions of a Fourth Order Differential Equation, «
Pacific Journal of Math.»,
30 (3), 751-763. |
MR 252758[6] W. E. TAYLOR - On Certain Classes of Linear Fourth Order Differential Equations (to appear).
Con il contributo del Ministero per i Beni e le Attività Culturali