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1.
This paper is concerned with the existence of three positive T-periodic solutions of the first order functional differential equations of the form
x(t)=a(t)x(t)-λb(t)f(t,x(h(t))),  相似文献   

2.
By refining the standard integral averaging technique, we obtain new oscillation criteria for a class of second order nonlinear neutral differential equations of the form
(r(t)(x(t)+p(t)x(t-τ)))+q(t)f(x(t),x(σ(t)))=0.  相似文献   

3.
In this paper, we provide oscillation properties of every solution of the neutral differential equation with positive and negative coefficients
[x(t)−R(t)x(tr)]+P(t)x(tτ)−Q(t)x(tσ)=0,  相似文献   

4.
In this paper, we consider the second-order nonlinear delay dynamic equation
(r(t)xΔ(t)+p(t)f(x(τ(t)))=0,  相似文献   

5.
In this paper, we proved that the odd order nonlinear neutral delay differential equation
[x(t)−p(t)g(x(tτ))](n)+q(t)h(x(tσ))=0  相似文献   

6.
The authors of this paper study the Dirichlet problem of the following equation
ut−div(|u|ν(x,t)u)=f−|u|p(x,t)−1u.  相似文献   

7.
In this paper, sufficient conditions are established for the asymptotical behavior of solutions of the delay differential equation
x(t)=F(t,xt)+G(t,xt)  相似文献   

8.
In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for a kind of forced Rayleigh equation of the form
x+f(x(t))+g(t,x(t))=e(t).  相似文献   

9.
In this paper we deal with a Cauchy problem governed by the following semilinear evolution differential inclusion:
x(t)∈A(t)x(t)+F(t,x(t))  相似文献   

10.
This paper is concerned with oscillation of the second-order half-linear dynamic equation
(r(t)(xΔγ)Δ)+p(t)xγ(t)=0,  相似文献   

11.
In this paper we study the existence of positive solutions of the equation
(φ(x))+a(t)f(x(t))=0,  相似文献   

12.
The reaction-diffusion delay differential equation
ut(x,t)−uxx(x,t)=g(x,u(x,t),u(x,tτ))  相似文献   

13.
The purpose of this paper to establish oscillation criteria for second order nonlinear dynamic equation
(r(t)(xΔ(t))γ)Δ+f(t,x(g(t)))=0,  相似文献   

14.
This paper contains new estimates for the distance between adjacent zeros of solutions of the first order delay differential equation
x(t)+p(t)x(tτ)=0  相似文献   

15.
In this paper, we use the coincidence degree theory to establish new results on the existence of T-periodic solutions for the Rayleigh equation with a deviating argument of the form
x+f(x(t))+g(t,x(tτ(t)))=p(t).  相似文献   

16.
In this paper, we study the existence, uniqueness and asymptotic stability of travelling wavefronts of the following equation:
ut(x,t)=D[u(x+1,t)+u(x-1,t)-2u(x,t)]-du(x,t)+b(u(x,t-r)),  相似文献   

17.
With the help of the coincidence degree continuation theorem, the existence of periodic solutions of a nonlinear second-order differential equation with deviating argument
x(t)+f1(x(t))x(t)+f2(x(t))(x(t))2+g(x(tτ(t)))=0,  相似文献   

18.
In this paper, the well known oscillation criteria due to Hille and Nehari for second-order linear differential equations will be generalized and extended to the third-order nonlinear dynamic equation
(r2(t)((r1(t)xΔ(t))Δ)γ)Δ+q(t)f(x(t))=0  相似文献   

19.
In this paper, we deal with the existence of periodic solutions of the second order differential equations x+g(x)=p(t) with singularity. We prove that the given equation has at least one periodic solution when g(x) has singularity at origin, satisfies
  相似文献   

20.
For each n=1,2,3, we obtain the general solution and the stability of the functional equation
f(2x+y)+f(2x-y)=2n-2[f(x+y)+f(x-y)+6f(x)].  相似文献   

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