In Ref [1] the asymptotic stability of nonlinear slowly changing system has been discussed .In Ref [2] the instability of solution for the order linear differential equaiton with varied coefficient has been discussed ...In Ref [1] the asymptotic stability of nonlinear slowly changing system has been discussed .In Ref [2] the instability of solution for the order linear differential equaiton with varied coefficient has been discussed .In this paper,we have discussed instability of solution for a class of the third order nonlinear diffeential equation by means of the metod of Refs [1] and [2] .展开更多
We consider the numerical solution of a singularly perturbed problem for the quasilinear parabolic differential equation, and construct a linear three-level finite difference scheme on a nonuniform grid. The uniform c...We consider the numerical solution of a singularly perturbed problem for the quasilinear parabolic differential equation, and construct a linear three-level finite difference scheme on a nonuniform grid. The uniform convergence in the sense of discrete L2 norm is proved and numerical examples are presented.展开更多
The purpose of this note is to provide some concrete existence criteria for Hopf bifurcations of the second-order functional differential equations with infinite delay (?)(t)=A(k)x(t)+B(k)integral from -∞ to 0 (C(τ)...The purpose of this note is to provide some concrete existence criteria for Hopf bifurcations of the second-order functional differential equations with infinite delay (?)(t)=A(k)x(t)+B(k)integral from -∞ to 0 (C(τ)x(t+τ)dτ+f(k,x(·))), where x∈R^2, t≥0, A, B and C are 2×2 real matrices sufficiently smooth in k∈Rorτ∈(-∞, 0], f(k,x(·)) is a nonlinear functional of high-order terms of x|(-∞,t] parameterized by k,展开更多
文摘In Ref [1] the asymptotic stability of nonlinear slowly changing system has been discussed .In Ref [2] the instability of solution for the order linear differential equaiton with varied coefficient has been discussed .In this paper,we have discussed instability of solution for a class of the third order nonlinear diffeential equation by means of the metod of Refs [1] and [2] .
文摘We consider the numerical solution of a singularly perturbed problem for the quasilinear parabolic differential equation, and construct a linear three-level finite difference scheme on a nonuniform grid. The uniform convergence in the sense of discrete L2 norm is proved and numerical examples are presented.
基金Projct supported by the National Natural Science Foundation of ChinaNatural ScienceEngineering Research Council of Canada
文摘The purpose of this note is to provide some concrete existence criteria for Hopf bifurcations of the second-order functional differential equations with infinite delay (?)(t)=A(k)x(t)+B(k)integral from -∞ to 0 (C(τ)x(t+τ)dτ+f(k,x(·))), where x∈R^2, t≥0, A, B and C are 2×2 real matrices sufficiently smooth in k∈Rorτ∈(-∞, 0], f(k,x(·)) is a nonlinear functional of high-order terms of x|(-∞,t] parameterized by k,
