共查询到20条相似文献,搜索用时 31 毫秒
1.
Thierry Huillet 《Journal of Computational and Applied Mathematics》2010,233(10):2449-2467
We consider the random walk on Z+={0,1,…}, with up and down transition probabilities given the chain is in state x∈{1,2,…}:
(1) 相似文献
2.
In this paper we study the existence and multiplicity of solutions of the following operator equation in Banach space E:
u=λAu,0<λ<+∞,u∈P?{θ}, 相似文献
3.
In this paper, we afford some sufficient conditions to guarantee the existence of multiple positive solutions for the nonlinear m-point boundary-value problem for the one-dimensional p-Laplacian 相似文献
(φp(u′))′+f(t,u)=0, t(0,1),
4.
For the first-order ordinary delay differential equation where p ∈ L loc(?+; ?+), τ ∈ C(?+; ?+), τ(t) ≤ t for t ∈ ?+, limt→+∞ τ(t) = +∞, and ?+:= [0, ∞), we obtain new criteria for the existence of sign-definite and oscillating solutions, thus generalizing some earlier-known results.
相似文献
$$u'(t) + p(t)u(r(t)) = 0,$$
5.
Xiaojing Yang 《Journal of Mathematical Analysis and Applications》2004,296(2):708-718
In this paper, the unbounded solutions for the following nonlinear planar system:
x′=a+y+−a−y−+f(t),y′=−b+x++b−x−+g(t), 相似文献
6.
Let λ > 0 and be the Bessel operator on R+:= (0,∞). We first introduce and obtain an equivalent characterization of CMO(R+, x2λdx). By this equivalent characterization and by establishing a new version of the Fréchet-Kolmogorov theorem in the Bessel setting, we further prove that a function b ∈ BMO(R+, x2λdx) is in CMO(R+, x2λdx) if and only if the Riesz transform commutator xxxx is compact on Lp(R+, x2λdx) for all p ∈ (1,∞).
相似文献
$${\Delta _\lambda }: = - \frac{{{d^2}}}{{d{x^2}}} - \frac{{2\lambda }}{x}\frac{d}{{dx}}$$
7.
In this article, the authors consider equation ut = div(ψ(Гu)A(|Du|2)Du) -(u- I), where ψ is strictly positive and Г is a known vector-valued mapping, A: R → R is decreasing and A(s) ~ 1/√a as s → ∞. This kind of equation arises naturally from image denoising. For an initial datum I ∈ BVloc ∩ L∞, the existence of BV solutions to the initial value problem of the equation is obtained. 相似文献
8.
Stevo Stevi? 《Applied mathematics and computation》2010,216(1):179-5018
Suppose r∈(0,1],m∈N and 1?k1<k2<?<k2m+1, and let S2m+1={1,2,…,2m+1}. We show that every positive solution to the difference equation
9.
Let \(\mathcal{M} =\{m_{j}\}_{j=1}^{\infty}\) be a family of Marcinkiewicz multipliers of sufficient uniform smoothness in \(\mathbb{R}^{n}\). We show that the L p norm, 1<p<∞, of the related maximal operator is at most C(log(N+2)) n/2. We show that this bound is sharp.
相似文献
$$M_Nf(x)= \sup_{1\leq j \leq N} |\mathcal{F}^{-1} ( m_j \mathcal{F} f)|(x) $$
10.
We study the blow-up and/or global existence of the following p-Laplacian evolution equation with variable source power where Ω is either a bounded domain or the whole space ? N , q(x) is a positive and continuous function defined in Ω with 0 < q ? = inf q(x) ? q(x) ? sup q(x) = q+ < ∞. It is demonstrated that the equation with variable source power has much richer dynamics with interesting phenomena which depends on the interplay of q(x) and the structure of spatial domain Ω, compared with the case of constant source power. For the case that Ω is a bounded domain, the exponent p ? 1 plays a crucial role. If q+ > p ? 1, there exist blow-up solutions, while if q + < p ? 1, all the solutions are global. If q ? > p ? 1, there exist global solutions, while for given q ? < p ? 1 < q +, there exist some function q(x) and Ω such that all nontrivial solutions will blow up, which is called the Fujita phenomenon. For the case Ω = ? N , the Fujita phenomenon occurs if 1 < q ? ? q + ? p ? 1 + p/N, while if q ? > p ? 1 + p/N, there exist global solutions.
相似文献
$${s_j} = {\beta _j} + \overline {{\beta _{n - j}}}p$$
11.
In this article, the dependent steps of a negative drift random walk are modelled as a two-sided linear process Xn =-μ ∞∑j=-∞ψn-jεj, where {ε, εn; -∞< n < ∞}is a sequence of independent, identically distributed random variables with zero mean, μ>0 is a constant and the coefficients {ψi;-∞< i <∞} satisfy 0 <∞∑j=-∞|jψj| <∞. Under the conditions that the distribution function of |ε| has dominated variation and ε satisfies certain tail balance conditions, the asymptotic behavior of P{supn≥0(-nμ ∞∑j=-∞εjβnj) > x}is discussed. Then the result is applied to ultimate ruin probability. 相似文献
12.
We prove the existence of a new class of entire, positive solutions for the classical elliptic problem Δu−u+up=0 in R2, when p>2. The solutions we construct are obtained by perturbing the function
13.
14.
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
15.
Fordyce A. Davidson Bryan P. Rynne 《Journal of Mathematical Analysis and Applications》2004,300(2):491-504
Let TR be a time-scale, with a=infT, b=supT. We consider the nonlinear boundary value problem (2) (4)
u(a)=u(b)=0,