Consider the scalar nonlinear delay differential equationddt[x(t)-f(t,x(t-τ))]+g(t,x(t-δ))=0,tt 0,where τ,δ(0,∞),f,gC([t 0,∞)×R,R)and xg(t,x)0 for tt 0,x∈R.The author obtains sufficient conditions for the ...Consider the scalar nonlinear delay differential equationddt[x(t)-f(t,x(t-τ))]+g(t,x(t-δ))=0,tt 0,where τ,δ(0,∞),f,gC([t 0,∞)×R,R)and xg(t,x)0 for tt 0,x∈R.The author obtains sufficient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stable.展开更多
Neutral hyperbolic differential equations with continuous distributed devia-ting arguments are studied, and sufficient conditions for each solution of the boundary value problem to be oscillatory in a cylindrical doma...Neutral hyperbolic differential equations with continuous distributed devia-ting arguments are studied, and sufficient conditions for each solution of the boundary value problem to be oscillatory in a cylindrical domain are obtained.展开更多
文摘Consider the scalar nonlinear delay differential equationddt[x(t)-f(t,x(t-τ))]+g(t,x(t-δ))=0,tt 0,where τ,δ(0,∞),f,gC([t 0,∞)×R,R)and xg(t,x)0 for tt 0,x∈R.The author obtains sufficient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stable.
文摘Neutral hyperbolic differential equations with continuous distributed devia-ting arguments are studied, and sufficient conditions for each solution of the boundary value problem to be oscillatory in a cylindrical domain are obtained.
