Graef, John R. and Spikes, Paul W.:
Nonoscillation theorems for forced second order non linear differential equations
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 59 (1975), fasc. n.6, p. 694-701, (English)
pdf (658 Kb), djvu (985 Kb). | MR 0486797 | Zbl 0415.34033
Sunto
Gli Autori provano alcuni nuovi criteri sufficienti, indipendenti da altri criteri da loro ottenuti in precedenza, perché gli integrali dell'equazione $(a(t) x^{\prime})^{\prime} + q(t) f(x) g(x^{\prime}) = r(t)$ siano tutti non oscillatori.
Referenze Bibliografiche
[1]
F. V. ATKINSON (
1955) -
On second-order non-linear oscillations, «
Pacific J. Math.»,
5, 643-647. |
MR 72316 |
Zbl 0065.32001[2]
C. V. COFFMAN and
J. S. W. WONG (
1972) -
Oscillation and non-oscillation of solutions of generalized Emden-Fowler equations, «
Trans. Amer. Math. Soc.»,
167, 399-434. |
fulltext (doi) |
MR 296413 |
Zbl 0278.34026[3]
C. V. COFFMAN and
J. S. W. WONG (
1972) -
Oscillation and non-oscillation theorems for second order ordinary differential equations, «
Funkcial. Ekvac.»,
15, 119-130. |
MR 333337 |
Zbl 0287.34024[4]
H. E. GOLLWITZEE (
1970) -
Nonoscillation theorems for a nonlinear differential equation, «
Proc. Amer. Math. Soc.»,
26, 78-84. |
fulltext (doi) |
MR 259243[5]
J. R. GRAEF and
P. W. SPIKES (
1974) -
A nonoscillation result for second order ordinary differential equations, «
Rend. Accad. Sci. fis. mat. Napoli» (4),
41, 3-12. |
MR 486795[6]
J. R. GRAEF and
P. W. SPIKES (
1975) -
Sufficient conditions for nonoscillation of a second order nonlinear differential equation, «
Proc. Amer. Math. Soc.»,
50, 289-292. |
fulltext (doi) |
MR 369808[7]
J. R. GRAEF and
P. W. SPIKES (
1975) -
Sufficient conditions for the equation $(a(t) x^{\prime})^{\prime} + h(t,x,x^{\prime}) + q(t) f(x,x^{\prime}) = e (t,x,x^{\prime})$ to be nonoscillatory, «
Funkcial. Ekvac.»,
18, 35-40. |
MR 385234 |
Zbl 0331.34030[8]
M. E. HAMMETT (
1967) -
Oscillation and nonoscillation theorems for nonhomogeneous linear differential equations of second order, Ph. D. Dissertation, Auburn University. |
MR 2616309[9]
E. HILLE (
1948) -
Nonoscillation theorems, «
Trans. Amer. Math. Soc.»,
64, 234-252. |
fulltext (doi) |
MR 27925[10]
D. V. IZYUMOVA (
1966) -
On the conditions for the oscillation and nonoscillation of solutions of nonlinear second-order differential equations, «
Differencial'nye Uravnenija»,
2, 1572-1586. |
MR 209579[11]
D. V. IZYUMOVA and
I. T. KIGURADZE (
1968) -
Some remarks on solutions of the equation $u^{\prime\prime} + a(t)f(u) = 0$, «
Differencial'nye Uravnenija»,
4, 589-605. |
MR 227544[12]
I. V. KAMENEV (
1970) -
Oscillations of solutions of nonlinear equations with multiplicatively separable right sides, «
Differencial'nye Uravnenija»,
6, 1510-1513. |
MR 273117[13]
M. S. KEENER (
1971) -
On the solutions of certain linear non-homogeneous second-order differential equations, «
Applicable Analysis»,
1, 57-63. |
fulltext (doi) |
MR 281997 |
Zbl 0215.43802[14]
J. W. MACKI and
J. S. W. WONG (
1968) -
Oscillation of solutions to second order non linear differential equations, «
Pacific J. Math.»,
24, 111-117. |
MR 224908 |
Zbl 0165.42402[15]
R. A. MOORE (
1955) -
The behavior of solutions of a linear differential equation of second order, «
Pacific J. Math.»,
5, 125-145. |
MR 68690 |
Zbl 0064.08401[16]
R. A. MOORE and
Z. NEHARI (
1959) -
Nonoscillation theorems for a class of nonlinear differential equations, «
Trans. Amer. Math. Soc.»,
93, 30-52. |
fulltext (doi) |
MR 111897 |
Zbl 0089.06902