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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
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[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
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[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
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