Global existence of solutions with prescribed asymptotic behavior for second-order nonlinear differential equations

@inproceedings{Mustafa2002GlobalEO,
  title={Global existence of solutions with prescribed asymptotic behavior for second-order nonlinear differential equations},
  author={Octavian G. Mustafa and Yuri V. Rogovchenko},
  year={2002}
}
where the nonlinearity f satis9es certain monotonicity conditions speci9ed in the sequel. We always assume without mentioning that the function f(t; u; v) is continuous in the domain D= {(t; u; v): t ∈ [t0;+∞); u; v∈R}, where t0 ? 1. It is supposed also that all equations and inequalities involving t hold for t? t0 unless otherwise speci9ed, the symbols “o” and “O” have their standard meanings as t → ∞; and we use the notation R+ def =(0;+∞). Eq. (1) is often used for mathematical modelling of… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 33 CITATIONS