In this paper we study the oscillations for a class of functional differential inequalities. By using these properties some forced oscillations to the boundary value problems of functional partial differential equatio...In this paper we study the oscillations for a class of functional differential inequalities. By using these properties some forced oscillations to the boundary value problems of functional partial differential equations are established.展开更多
In this paper, we study a kind of boundary value problem for volterra functional differential equation:ε x″(t)=f(t,ε)x′(t)+g(t,x(t),(t),x(t-τ),ε), t∈(0,1) x(t)=(t,ε), t∈, x(1)=ψ(ε) Using the theory of dif...In this paper, we study a kind of boundary value problem for volterra functional differential equation:ε x″(t)=f(t,ε)x′(t)+g(t,x(t),(t),x(t-τ),ε), t∈(0,1) x(t)=(t,ε), t∈, x(1)=ψ(ε) Using the theory of differential inequality, we prove the existence of the solution and give a uniformly valid asympototic expansions of the solution. Meanwhile, an estimation of the derivative solution is given as well.展开更多
基金Project supported by the Science Foundation of Yunnan.
文摘In this paper we study the oscillations for a class of functional differential inequalities. By using these properties some forced oscillations to the boundary value problems of functional partial differential equations are established.
文摘In this paper, we study a kind of boundary value problem for volterra functional differential equation:ε x″(t)=f(t,ε)x′(t)+g(t,x(t),(t),x(t-τ),ε), t∈(0,1) x(t)=(t,ε), t∈, x(1)=ψ(ε) Using the theory of differential inequality, we prove the existence of the solution and give a uniformly valid asympototic expansions of the solution. Meanwhile, an estimation of the derivative solution is given as well.
