Comparison theorems for functional differential equations
Mathematica Bohemica, Tome 119 (1994) no. 2, pp. 203-211

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In this paper the oscillatory and asymptotic properties of the solutions of the functional differential equation $L_nu(t)+p(t)f(u[g(t)])=0$ are compared with those of the functional differential equation $\alpha_nu(t)+q(t)h(u[w(t)])=0$.
In this paper the oscillatory and asymptotic properties of the solutions of the functional differential equation $L_nu(t)+p(t)f(u[g(t)])=0$ are compared with those of the functional differential equation $\alpha_nu(t)+q(t)h(u[w(t)])=0$.
DOI : 10.21136/MB.1994.126077
Classification : 34C10, 34K15, 34K25, 34K99
Keywords: functional differential equation; oscillatory; nonoscillatory; canonical form; property (A)
Džurina, Jozef. Comparison theorems for functional differential equations. Mathematica Bohemica, Tome 119 (1994) no. 2, pp. 203-211. doi: 10.21136/MB.1994.126077
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[1] J. Džurinа: Oscillation and asymptotic properties of n-th order differential equations. Czech. Math. J. 42 (1992), 11-14. | MR

[2] J. Džurinа: Comparison theorems for nonlinear ODEs. Math. Slovaca 42 (1992), 299-315. | MR

[3] L. Erbe: Oscillation criteria foг second order nonlinear delay equations. Canad. Math. Bull. 16 (1973), 49-56. | DOI | MR

[4] L. Erbe: Oscillation and asymptotic behavior of solutions of third order differential delay equations. SIAM Ј. Math. Anal. 7 (1976), 491-500. | DOI | MR | Zbl

[5] E. Hille: Non-oscillation theorems. Trans. Amer. Math. Soc. 64 (1948), 234-258. | DOI | MR | Zbl

[6] I. T. Kigurаdze: On the oscillation of solutions of the equation $d^m u/ dt^m + a(t)|u|^n \times sign u = 0$. Mat. Sb. 65 (1964), 172-187. (In Russian.)

[7] T. Kusаno аnd M. Nаito: Comparison theorems for functional differential equations with deviating arguments. Ј. Math. Soc. Јapan 3 (1981), 509-532. | MR

[8] T. Kusаno аnd M. Nаito: Oscillation criteria for general linear ordinary differential equations. Pacific Ј. Math. 92 (1981), 345-355. | DOI | MR

[9] W. E. Mаhfoud: Comparison theorems for delay differential equations. Pacifìc Ј. Math. 83 (1979), 187-197. | DOI | MR

[10] W. F. Trench: Canonical forms and principal systems for general disconjugate equations. Trans. Amer. Math. Soc. 189 (1974), 319-327. | DOI | MR | Zbl

[11] W. F. Trench: Oscillation properties of perturbed disconjugate equations. Proc. Amer. Math. Soc. 52 (1975), 147-155. | DOI | MR | Zbl

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