共查询到20条相似文献,搜索用时 187 毫秒
1.
Hassan A. El-Morshedy 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(10):3353-3362
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(t−τ)=0 相似文献
2.
Ricardo Enguiça 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(9):2968-2979
We start by studying the existence of positive solutions for the differential equation
u″=a(x)u−g(u), 相似文献
3.
Simona Fišnarová Robert Ma?ík 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(17):6427-6433
In this paper, we study the half-linear differential equation with one-dimensional p-Laplacian
(r(t)Φp(x′))′+c(t)Φp(x)=0, 相似文献
4.
In this paper, a higher order p-Laplacian neutral functional differential equation with a deviating argument:
[φp([x(t)−c(t)x(t−σ)](n))](m)+f(x(t))x′(t)+g(t,x(t−τ(t)))=e(t) 相似文献
5.
As p-Laplacian equations have been widely applied in the field of fluid mechanics and nonlinear elastic mechanics, it is necessary to investigate the periodic solutions of functional differential equations involving the scalar p-Laplacian. By using Lu’s continuation theorem, which is an extension of Manásevich-Mawhin, we study the existence of periodic solutions for a Rayleigh type p-Laplacian equation
(φp(x′(t)))′+f(x′(t))+g1(x(t-τ1(t,|x|∞)))+β(t)g2(x(t-τ2(t,|x|∞)))=e(t). 相似文献
6.
In this paper, we use the coincidence degree theory to establish new results on the existence of T-periodic solutions for the Liénard type p-Laplacian equation with a deviating argument of the form:
相似文献
(?p(x′(t)))′+f(x(t))x′(t)+g(t,x(t-τ(t)))=e(t).
7.
In this paper, we prove a sufficient and necessary condition for the stability of the equilibrium x=x′=0 of the damped oscillator with damping changing sign
8.
Oscillation and nonoscillation of the second order differential equation with delay depending on the unknown function
in the case when ∫∞ds/r(s)<∞ holds are consider. The results obtained in this paper can be conjugated with the theorems given by Bainov et al. [J. Comput. Appl. Math. 91 (1998) 87–96]. 相似文献
(r(t)x′(t))′+f(t,x(t),x(?(t,x(t))))=0
9.
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
相似文献
x″+f(t,x′(t))+g(t,x(t))=e(t).
10.
Ivan Kiguradze 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(3):757-767
For the differential equation
u″=f(t,u) 相似文献
11.
Javier Chavarriga 《Journal of Differential Equations》2003,194(1):116-139
We mainly study polynomial differential systems of the form dx/dt=P(x,y), dy/dt=Q(x,y), where P and Q are complex polynomials in the dependent complex variables x and y, and the independent variable t is either real or complex. We assume that the polynomials P and Q are relatively prime and that the differential system has a Darboux first integral of the form
12.
Douglas R. Anderson Joan Hoffacker 《Journal of Mathematical Analysis and Applications》2006,323(2):958-973
We are concerned with the fourth-order nonuniform cantilever beam problem
(I(x)WΔ∇(x))Δ∇=f(x,W(x)), 相似文献
13.
Ronald Begg 《Journal of Mathematical Analysis and Applications》2006,322(2):1168-1187
A class of nonlocal second-order ordinary differential equations of the form
y″(x)=f(x,y(x),(y○λ)(x),y′(x)) 相似文献
14.
Yuanfeng WangZhiting Xu 《Journal of Computational and Applied Mathematics》2012,236(9):2354-2366
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
15.
Seng-Kee Chua 《Journal of Differential Equations》2010,249(7):1531-1548
Using Schauder's fixed point theorem, with the help of an integral representation in ‘Sharp conditions for weighted 1-dimensional Poincaré inequalities’, Indiana Univ. Math. J., 49 (2000) 143-175, by Chua and Wheeden, we obtain existence and uniqueness theorems and ‘continuous dependence of average condition’ for average value problem:
y′=F(x,y), 相似文献
16.
In this paper, the boundedness of all solutions of the oscillator
is discussed, where ω is a positive constant, f(x,y),?(x) and p(t) are smooth functions, and p(t)=p(t+2π). 相似文献
x″+f(x,x′)+ω2x+?(x)=p(t)
17.
18.
G.A. Afrouzi 《Journal of Mathematical Analysis and Applications》2005,303(1):342-349
In this paper we shall study the following variant of the logistic equation with diffusion:
−du″(x)=g(x)u(x)−u2(x) 相似文献