On connected half-linear differential equations

• Autorzy: Zhang G. , Cheng S.
• Języki publikacji: EN

Abstrakty

EN

In this paper connections between several classes of "half-linear" differential equations with or without delays are established. By means of these connections, existence of eventually positive solutions can be inferred from the properties of either one of these families of equations.

Słowa kluczowe

EN

half-linear differential equations; eventually positive solutions; delay

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 1999
• Tom: Vol. 32, nr 2
• Strony: 345--354
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Zhang G.

• Department of Mathematics, Datong Advanced College, Datong, Shanxi 037008, P. R. China

autor

Cheng S.

• Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043, R. O. China

Bibliografia

• [1] T. Kusano and Y. Norio, Nonoscillation theorems for a class of quasi-linear differential equations of second order, J. Math. Anal. Appl. 189 (1995), 1193-1204.
• [2] H. J. Li and C. C. Yeh, Sturmian comparison theorem for half-linear differential equations, Proc. Roy. Soc. Edinburgh 125A (1995), 1193-1204.
• [3] H. J. Li and C. C. Yeh, An integral criterion for oscillation of nonlinear differential equations, Math. Japonica 41 (1) (1995), 185-188.
• [4] H. J. Li and C. C. Yeh, Nonoscillation criteria for second order half-linear differential equations, Appl. Math. Lett. 8 (5) (1995), 63-70.
• [5] H. J. Li and W. L. Liu, Oscillation of second order neutral differential equations, Math. Comput. Modelling 22 (1) (1995), 45-53.
• [6] G. Zhang and S. S. Cheng, On a functional differential equation related to the Emden-Fowler equation, Funct. Diff. Eq. (4) (1997), 215-221.
• [7] J. S. W. Wong, On the generalized Emden-Fowler equation, SIAM Review 17 (1975), 339-360.