Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (4): 590-595.

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Bounded Nonoscillatory Solutions of Nonlinear Functional Differential Equations 

  

  1. 1. Department of Information and Computing Science, Guangxi University of Technology2. School of Mathematics and Computational Science, Xiangtan University

  • Received:2009-09-05 Online:2011-12-30 Published:2023-04-14
  • About author:WANG Xiao-yan(1963-), male, native of Bobai, Guangxi, a lecturer of Guangxi University of Technology, M.S.D., engages in differential equation; LI Ming-jun(1968-), male, native of Yiyang, Hunan, a professor of Xingtan University, Ph.D., engages in computational fluid mechanics.
  • Supported by:
    Supported by the Key NSF of China(40333031); Supported by the NSF of Education Department of Hunan Province(04C646);

Abstract: In this paper, we obtain some nonoscillatory theories of the functional differential equation (r(t)ψ(x(t))x (t)) + f(t, x(t), x(σ(t))) = 0, t ≥ t0, where r ∈ C1([t0, ∞); (0, ∞)), ψ∈ C1(R, R) and f ∈ C([t0, ∞) × R × R, R).

Key words: nonoscillatory solution, nonlinear term, condensing operator

CLC Number: