共查询到20条相似文献,搜索用时 15 毫秒
1.
On some third order nonlinear boundary value problems: Existence, location and multiplicity results 总被引:1,自引:0,他引:1
Feliz Manuel Minhós 《Journal of Mathematical Analysis and Applications》2008,339(2):1342-1353
We prove an Ambrosetti-Prodi type result for the third order fully nonlinear equation
u?(t)+f(t,u(t),u′(t),u″(t))=sp(t) 相似文献
2.
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
3.
For a risk process R_u(t) = u + ct- X(t), t≥0, where u≥0 is the initial capital, c 0 is the premium rate and X(t), t≥0 is an aggregate claim process, we investigate the probability of the Parisian ruin P_S(u, T_u) = P{inf (t∈[0,S]_(s∈[t,t+T_u])) sup R_u(s) 0}, S, T_u 0.For X being a general Gaussian process we derive approximations of P_S(u, T_u) as u →∞. As a by-product, we obtain the tail asymptotic behaviour of the infimum of a standard Brownian motion with drift over a finite-time interval. 相似文献
4.
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
5.
Let ξ(t) be a zero-mean stationary Gaussian process with the covariance function r(t) of Pickands type, i.e., r(t) = 1 ? |t| α + o(|t| α ), t → 0, 0 < α ≤ 2, and η(t), ζ(t) be periodic random processes. The exact asymptotic behavior of the probabilities P(max t∈[0,T] η(t)ξ(t) > u), P(max t∈[0,T] (ξ(t) + η(t)) > u) and P(max t∈[0,T] (η(t)ξ(t) + ζ(t)) > u) is obtained for u → ∞ for any T > 0 and independent ξ(t), η(t), ζ(t). 相似文献
6.
Ruyun Ma 《Journal of Mathematical Analysis and Applications》2011,384(2):527-535
We consider the existence of positive ω-periodic solutions for the equation
u′(t)=a(t)g(u(t))u(t)−λb(t)f(u(t−τ(t))), 相似文献
7.
C. Bereanu 《Journal of Mathematical Analysis and Applications》2009,352(1):218-233
Using Leray-Schauder degree theory we obtain various existence results for the quasilinear equation problems
(?(u′))′=f(t,u,u′) 相似文献
8.
Ivan Kiguradze 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(3):757-767
For the differential equation
u″=f(t,u) 相似文献
9.
In this paper, the Fokas unified method is used to analyze the initial-boundary value for the Chen- Lee-Liu equation on the half line (?∞, 0] with decaying initial value. Assuming that the solution u(x, t) exists, we show that it can be represented in terms of the solution of a matrix Riemann-Hilbert problem formulated in the plane of the complex spectral parameter λ. The jump matrix has explicit (x, t) dependence and is given in terms of the spectral functions {a(λ), b(λ)} and {A(λ), B(λ)}, which are obtained from the initial data u0(x) = u(x, 0) and the boundary data g0(t) = u(0, t), g1(t) = ux(0, t), respectively. The spectral functions are not independent, but satisfy a so-called global relation.
相似文献
$i{\partial _t}u + {\partial_{xx}u - i |u{|^2}{\partial _x}u = 0}$
10.
Xinfu Chen 《Journal of Differential Equations》2004,206(2):399-437
We study the full-time dynamics of the initial value problem, for uε=uε(x,t),
11.
We study generalized solutions of the nonlinear wave equation
utt−uss=au+−bu−+p(s,t,u), 相似文献
12.
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
13.
Nguyen Huy Tuan Dang Duc Trong 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(7):1966-1972
The nonlinear backward Cauchy problem
ut+Au(t)=f(u(t)),u(T)=φ, 相似文献
14.
In this paper we study the equation of viscoelasticity
utt−uxxt−Fx(ux)=f(x,t) 相似文献
15.
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
16.
R.F. Barostichi 《Journal of Differential Equations》2009,247(6):1899-260
Let (x,t)∈Rm×R and u∈C2(Rm×R). We study the Gevrey micro-regularity of solutions u of the nonlinear equation
ut=f(x,t,u,ux), 相似文献
17.
Jörg Härterich 《Journal of Mathematical Analysis and Applications》2005,307(2):395-414
This paper deals with the singular limit for
L?u:=ut−Fx(u,?ux)−?−1g(u)=0, 相似文献
18.
Tariel Kiguradze V. Lakshmikantham 《Journal of Mathematical Analysis and Applications》2006,324(2):1242-1261
For the nonlinear hyperbolic equation
u(2,1)=f(x,t,u,u(1,0),u(2,0),u(0,1),u(1,1)) 相似文献
19.
Óscar Ciaurri T. Alastair Gillespie Luz Roncal José L. Torrea Juan Luis Varona 《Journal d'Analyse Mathématique》2017,132(1):109-131
It is well known that the fundamental solution of with u(n, 0) = δ nm for every fixed m ∈ Z is given by u(n, t) = e ?2t I n?m (2t), where I k (t) is the Bessel function of imaginary argument. In other words, the heat semigroup of the discrete Laplacian is described by the formal series W t f(n) = Σ m∈Z e ?2t I n?m (2t)f(m). This formula allows us to analyze some operators associated with the discrete Laplacian using semigroup theory. In particular, we obtain the maximum principle for the discrete fractional Laplacian, weighted ? p (Z)-boundedness of conjugate harmonic functions, Riesz transforms and square functions of Littlewood-Paley. We also show that the Riesz transforms essentially coincide with the so-called discrete Hilbert transform defined by D. Hilbert at the beginning of the twentieth century. We also see that these Riesz transforms are limits of the conjugate harmonic functions. The results rely on a careful use of several properties of Bessel functions.
相似文献
$${u_t}\left( {n,t} \right) = u\left( {n + 1,t} \right) - 2u\left( {n,t} \right) + u\left( {n - 1,t} \right),n \in \mathbb{Z},$$
20.
P. V. Vinogradova 《Differential Equations》2008,44(7):970-979
We study a projection-difference method for approximately solving the Cauchy problem u′(t) + A(t)u(t) + K(t)u(t) = h(t), u(0) = 0 for a linear differential-operator equation in a Hilbert space, where A(t) is a self-adjoint operator and K(t) is an operator subordinate to A(t). Time discretization is based on a three-level difference scheme, and space discretization is carried out by the Galerkin method. Under certain smoothness conditions on the function h(t), we obtain estimates for the convergence rate of the approximate solutions to the exact solution. 相似文献