共查询到20条相似文献,搜索用时 15 毫秒
1.
In this paper, we consider the second-order nonlinear delay dynamic equation
(r(t)xΔ(t)Δ)+p(t)f(x(τ(t)))=0, 相似文献
2.
Taher S. Hassan 《Journal of Mathematical Analysis and Applications》2008,345(1):176-185
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
3.
Taher S. Hassan 《Applied mathematics and computation》2011,217(12):5285-5297
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
4.
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
5.
Let us consider the time-dependent Schrödinger equation,
iφt=−Δφ+V(x,t)φ, 相似文献
6.
Özkan Öcalan 《Journal of Mathematical Analysis and Applications》2007,331(1):644-654
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(t−r)]′+P(t)x(t−τ)−Q(t)x(t−σ)=0, 相似文献
7.
In this paper we study nonlinear, discrete, multipoint boundary value problems of the form
x(t+1)=A(t)x(t)+?f(t,x(t)) 相似文献
8.
Mustafa Hasanbulli 《Applied mathematics and computation》2010,215(12):4392-4399
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
9.
X.H. Tang 《Journal of Mathematical Analysis and Applications》2006,322(2):864-872
In this paper, we proved that the odd order nonlinear neutral delay differential equation
[x(t)−p(t)g(x(t−τ))](n)+q(t)h(x(t−σ))=0 相似文献
10.
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
11.
Youssef N. Raffoul 《Journal of Mathematical Analysis and Applications》2006,324(2):1356-1362
In this research we study the stability of the zero solution of delay difference equations and the existence of unique periodic solution by utilizing fixed point theory. Mainly, we are interested in the qualitative analysis of the complete delay difference equation
Δx(t)=−a(t)x(t−τ). 相似文献
12.
Gwang Hui Kim 《Journal of Mathematical Analysis and Applications》2007,325(1):237-248
The aim of this paper is to study the stability problem of the d'Alembert type and Jensen type functional equations:
f(x+y)+f(x+σy)=2g(x)f(y), 相似文献
13.
We analyse the dynamics of the non-autonomous nonlinear reaction-diffusion equation
ut−Δu=f(t,x,u), 相似文献
14.
João Marcos do Ó Everaldo Medeiros 《Journal of Mathematical Analysis and Applications》2008,345(1):286-304
In this paper we study a class of nonhomogeneous Schrödinger equations
−Δu+V(x)u=f(u)+h(x) 相似文献
15.
Hong Gao 《Applied mathematics and computation》2009,211(1):148-154
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
16.
In this paper, we investigate a class of stochastic functional differential equations of the form
dx(t)=(Ax(t)+F(t,x(t),xt))dt+G(t,x(t),xt)°dW(t). 相似文献
17.
Fukun Zhao Leiga Zhao Yanheng Ding 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2011,62(3):495-511
This paper is concerned with the following periodic Hamiltonian elliptic systemwhere the potential V is periodic and 0 lies in a gap of the spectrum of ?Δ + V, f(x, t) and g(x, t) depend periodically on x and are superlinear but subcritical in t at infinity. By establishing a variational setting, existence of a ground state solution and multiple solution for odd f and g are obtained.
相似文献
$$\left \{\begin{array}{l}-\Delta u+V(x)u=g(x,v)\, {\rm in }\,\mathbb{R}^N,\\-\Delta v+V(x)v=f(x,u)\, {\rm in }\, \mathbb{R}^N,\\ u(x)\to 0\, {\rm and}\,v(x)\to0\, {\rm as }\,|x|\to\infty,\end{array}\right.$$
18.
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
19.
In this paper, we study the existence of periodic solutions of the Rayleigh equations
x″+f(x′)+g(x)=e(t). 相似文献
20.
Shao-Yan Zhang 《Applied mathematics and computation》2010,216(10):2837-2848
This paper is concerned with the oscillation of second-order nonlinear neutral dynamic equations of the form
(r(t)((y(t)+p(t)y(τ(t)))Δ)γ)Δ+f(t,y(δ(t)))=0, 相似文献