共查询到20条相似文献,搜索用时 109 毫秒
1.
Tiziana Cardinali 《Journal of Mathematical Analysis and Applications》2005,308(2):620-635
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
2.
Philippe Cieutat 《Journal of Mathematical Analysis and Applications》2009,354(2):494-2634
We give sufficient conditions ensuring the existence, uniqueness and global attractiveness of a pseudo compact almost automorphic solution of the following differential equation:
x′(t)=f(t,x(t)) 相似文献
3.
By means of Mawhin's continuation theorem, we study some second order differential equations with a deviating argument:
x″(t)=f(t,x(t),x(t−τ(t)),x′(t))+e(t). 相似文献
4.
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
5.
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
6.
Shiping Lu 《Journal of Mathematical Analysis and Applications》2007,336(2):1107-1123
By means of Mawhin's continuation theorem, a kind of p-Laplacian differential equation with a deviating argument as follows:
(φp(x′(t)))′=f(t,x(t),x(t−τ(t)),x′(t))+e(t) 相似文献
7.
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(t−τ(t)))=p(t). 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 the first order neutral functional differential equation of the form
(x(t)+Bx(t−δ))′=g1(t,x(t))+g2(t,x(t−τ))+p(t). 相似文献
9.
The reaction-diffusion delay differential equation
ut(x,t)−uxx(x,t)=g(x,u(x,t),u(x,t−τ)) 相似文献
10.
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
11.
Spectral theory of isotropic random fields in Euclidean space developed by M. I. Yadrenko is exploited to find a solution to the problem of optimal linear estimation of the functionalwhich depends on unknown values of a periodically correlated (cyclostationary with period T) with respect to time isotropic on the sphere S n in Euclidean space E n random field ζ(t, x), t?∈?Z, x?∈?S n . Estimates are based on observations of the field ζ(t, x)?+?θ(t, x) at points (t, x), t?=???1,???2, ..., x?∈?S n , where θ(t, x) is an uncorrelated with ζ(t, x) periodically correlated with respect to time isotropic on the sphere S n random field. Formulas for computing the value of the mean-square error and the spectral characteristic of the optimal linear estimate of the functional Aζ are obtained. The least favourable spectral densities and the minimax (robust) spectral characteristics of the optimal estimates of the functional Aζ are determined for some special classes of spectral densities.
相似文献
$$ A\zeta ={\sum\limits_{t=0}^{\infty}}\,\,\,{\int_{S_n}} \,\,a(t,x)\zeta (t,x)\,m_n(dx) $$
12.
Songzhe Lian Chunling Cao Hongjun Yuan 《Journal of Mathematical Analysis and Applications》2008,342(1):27-38
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
13.
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
14.
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
15.
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
16.
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
17.
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
18.
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
19.
A. B. Kostin 《Differential Equations》2016,52(2):220-239
We study the inverse problem of the reconstruction of the coefficient ?(x, t) = ?0(x, t) + r(x) multiplying ut in a nonstationary parabolic equation. Here ?0(x, t) ≥ ?0 > 0 is a given function, and r(x) ≥ 0 is an unknown function of the class L∞(Ω). In addition to the initial and boundary conditions (the data of the direct problem), we pose the problem of nonlocal observation in the form ∫0Tu(x, t) dμ(t) = χ(x) with a known measure dμ(t) and a function χ(x). We separately consider the case dμ(t) = ω(t)dt of integral observation with a smooth function ω(t). We obtain sufficient conditions for the existence and uniqueness of the solution of the inverse problem, which have the form of ready-to-verify inequalities. We suggest an iterative procedure for finding the solution and prove its convergence. Examples of particular inverse problems for which the assumptions of our theorems hold are presented. 相似文献
20.
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