Geodesic
On a class of fourth order half-linear differential equations
Czechoslovak Mathematical Journal, Tome 30 (1980) no. 1, pp. 84-97 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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DOI : 10.21136/CMJ.1980.101658
Classification : 34A34, 34C10, 34K25 
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Cheng, Sui-Sun. On a class of fourth order half-linear differential equations. Czechoslovak Mathematical Journal, Tome 30 (1980) no. 1, pp. 84-97. doi: 10.21136/CMJ.1980.101658

[1] I. Bihari: On the second order half-linear differential equation. Studia Sci. Math. Hung., 3 (1968), 411-437. | MR | Zbl

[2] I. Bihari: An oscillation theorem concerning the half-linear differential equation of the second order. Magyar Tud. Akad. Mat. Kutató Int. KözL, 8 (1963), 275 - 280. | MR

[3] G. В. Gustafson: Oscillation criteria for $y'' + p(t) f(y, y') = 0$ with $f$ homogeneous of degree one. Canad. J. Math. 25 (1973), 323-337. | DOI | MR | Zbl

[4] A. G. Kartsatos: On oscillations of nonlinear equations of second order. J. Math. Anal. Appl. 24 (1968), 665-668. | DOI | MR | Zbl

[5] M. S. Keener: On solutions of certain self-adjoint differential equations of fourth order. J. Math. Anal. Appl. 33 (1971), 278-305. | DOI | MR | Zbl

[6] K. Kreith: Rotation properties of adjoint pairs of differential systems. Proc. Roy. Soc. Edinburgh, 75A, 12 (1975/76), 149-155. | MR

[7] K. Kreith: An oscillation theory for fourth order differential equations. Lecture Notes in Mathematics, Vol. 564, Springer-Verlag Berlin, Heidelberg 1976, 301 - 308. | DOI | MR | Zbl

[8] W. Leighton, Z. Nehari: On the oscillation of solutions of self-adjoint linear differential equations of fourth order. Trans. Amer. Math. Soc., 89 (1958), 325 - 377. | DOI | MR

[9] Z. Nehari: On a class of nonlinear second order differential equations. Trans. Amer. Math. Soc. 95 (1960), 101-123. | DOI | MR | Zbl

[10] G. Sansone: Studio degh integrali del sistema $y'' + py = qz$, $z'' + pz = ry + wy'$. Ann. Mat. Рurа. App. (4), 22 (1943), 145-180. | MR

[11] M. Švec: Sur le compontement asymptotique des intégrales de l'équation différentielle $y^{(4)} + Q(x) y = 0$. Czechoslovak Math. J. 8 (83) (1958), 230-245. | MR

[12] W. Whyburn: On self-adjoint ordinary differential equations of the fourth order. Amer. J. Math. 52 (1930), 171-196. | DOI | MR

[13] J. S. W. Wong: On second order nonlinear oscillation. Funkcialaj Ekvacioj, 11 (1969), 207-234. | MR | Zbl

[14] F. V. Atkinson: On second order nonlinear oscillations. Pacific J. Math. 5 (1955), 643 - 647. | DOI | MR

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