Asymptotic behavior of solutions of generalized ``food-limited'' type functional differential equations

Rok, strany: 2005, 136 - 142

Using a new method, we establish sufficient conditions which guarantee every solution of generalized ``food-limited'' type functional differential equation

$$ x'(t)+\frac{(1+x(t))(1-λ x(t))} {1+λ} F(t,[x(·)]^α \=)=0 ,    t≥ 0 , $$

to converge to zero as $t$ tends to infinity, where $α >1$ is a ratio of two positive odd integers. The results in [LIU, Y. J.: Global attractivity for a differential-difference population model, Appl. Math. E@-Notes 1 (2001), 56–64], [FENG, W.— ZHAO, A. M.—YAN, J. Y.: Global attractivity of generalized delay Logistic equation, Appl. Math. J. Chinese Univ. Ser. A 16 (2001), 136–142] are generalized and improved.

ISO 690:

Liu, Y., Ge, W. 2005. Asymptotic behavior of solutions of generalized ``food-limited'' type functional differential equations. In Mathematica Slovaca, vol. 55, no.2, pp. 136-142. 0139-9918.

APA:

Liu, Y., Ge, W. (2005). Asymptotic behavior of solutions of generalized ``food-limited'' type functional differential equations. Mathematica Slovaca, 55(2), 136-142. 0139-9918.