Gli Autori provano alcuni nuovi criteri sufficienti, indipendenti da altri criteri da loro ottenuti in precedenza, perché gli integrali dell'equazione siano tutti non oscillatori.
@article{RLINA_1975_8_59_6_694_0, author = {John R. Graef and Paul W. Spikes}, title = {Nonoscillation theorems for forced second order non linear differential equations}, journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti}, volume = {59}, year = {1975}, pages = {694-701}, zbl = {0415.34033}, mrnumber = {0486797}, language = {en}, url = {http://dml.mathdoc.fr/item/RLINA_1975_8_59_6_694_0} }
Graef, John R.; 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, Tome 59 (1975) pp. 694-701. http://gdmltest.u-ga.fr/item/RLINA_1975_8_59_6_694_0/
[1] On second-order non-linear oscillations, «Pacific J. Math.», 5, 643-647. | MR 72316 | Zbl 0065.32001
(1955) -[2] Oscillation and non-oscillation of solutions of generalized Emden-Fowler equations, «Trans. Amer. Math. Soc.», 167, 399-434. | MR 296413 | Zbl 0278.34026
and (1972) -[3] Oscillation and non-oscillation theorems for second order ordinary differential equations, «Funkcial. Ekvac.», 15, 119-130. | MR 333337 | Zbl 0287.34024
and (1972) -[4] Nonoscillation theorems for a nonlinear differential equation, «Proc. Amer. Math. Soc.», 26, 78-84. | MR 259243
(1970) -[5] A nonoscillation result for second order ordinary differential equations, «Rend. Accad. Sci. fis. mat. Napoli» (4), 41, 3-12. | MR 486795
and (1974) -[6] Sufficient conditions for nonoscillation of a second order nonlinear differential equation, «Proc. Amer. Math. Soc.», 50, 289-292. | MR 369808
and (1975) -[7] Sufficient conditions for the equation to be nonoscillatory, «Funkcial. Ekvac.», 18, 35-40. | MR 385234 | Zbl 0331.34030
and (1975) -[8] Oscillation and nonoscillation theorems for nonhomogeneous linear differential equations of second order, Ph. D. Dissertation, Auburn University. | MR 2616309
(1967) -[9] Nonoscillation theorems, «Trans. Amer. Math. Soc.», 64, 234-252. | MR 27925
(1948) -[10] On the conditions for the oscillation and nonoscillation of solutions of nonlinear second-order differential equations, «Differencial'nye Uravnenija», 2, 1572-1586. | MR 209579
(1966) -[11] Some remarks on solutions of the equation , «Differencial'nye Uravnenija», 4, 589-605. | MR 227544
and (1968) -[12] Oscillations of solutions of nonlinear equations with multiplicatively separable right sides, «Differencial'nye Uravnenija», 6, 1510-1513. | MR 273117
(1970) -[13] On the solutions of certain linear non-homogeneous second-order differential equations, «Applicable Analysis», 1, 57-63. | MR 281997 | Zbl 0215.43802
(1971) -[14] Oscillation of solutions to second order non linear differential equations, «Pacific J. Math.», 24, 111-117. | MR 224908 | Zbl 0165.42402
and (1968) -[15] The behavior of solutions of a linear differential equation of second order, «Pacific J. Math.», 5, 125-145. | MR 68690 | Zbl 0064.08401
(1955) -[16] Nonoscillation theorems for a class of nonlinear differential equations, «Trans. Amer. Math. Soc.», 93, 30-52. | MR 111897 | Zbl 0089.06902
and (1959) -[17] Z. Nehari (1969) - A nonlinear oscillation problem, «J. Differential Eqs.», 5, 452-460. | MR 235203 | Zbl 0181.09702