STABILITY IN DIFFERENTIAL EQUATIONS WITH CONTINUOUS AND PIECEWISE CONSTANT ARGUMENTS

ＳＴＡＢＩＬＩＴＹＩＮＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＷＩＴＨＣＯＮＴＩＮＵＯＵＳＡＮＤＰＩＥＣＥＷＩＳＥＣＯＮＳＴＡＮＴＡＲＧＵＭＥＮＴＳＭｉｎｇ－ＰｏＣｈｅｎＳＴＡＢＩＬＩＴＹＩＮＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＷＩＴＨＣＯＮ...     

AN OPTION PRICING PROBLEM WITH THE UNDERLYING STOCK PAYING DIVIDENDS

ＡＮＯＰＴＩＯＮＰＲＩＣＩＮＧＰＲＯＢＬＥＭＷＩＴＨＴＨＥＵＮＤＥＲＬＹＩＮＧＳＴＯＣＫＰＡＹＩＮＧＤＩＶＩＤＥＮＤＳＸＵＷＥＮＳＨＥＮＧ，ＺＨＵＡＮＧＬＩＮＧＡＮＤＷＵＺＨＥＮＡｂｓｔｒａｃｔ．Ｉｎｔｈｉｓｐａｐｅｒ，ａｐｒｉｃｉｎｇｐｒｏｂｌｅｍ...     

COEXISTENCE,PERMANENCE,AND STABILITY IN A THREE SPECIES COMPETITION MODEL

ＣＯＥＸＩＳＴＥＮＣＥ，ＰＥＲＭＡＮＥＮＣＥ，ＡＮＤＳＴＡＢＩＬＩＴＹＩＮＡＴＨＲＥＥＳＰＥＣＩＥＳＣＯＭＰＥＴＩＴＩＯＮＭＯＤＥＬ￥ＦＥＮＧＷＥＩ（冯薇）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃａｌＳｃｉｅｎｃｅｓ，ＵｎｉｖｅｒｅｉｔｙｏｆＮ...     

GLOBAL ATTRACTIVITY IN A PERIODIC COMPETITION SYSTEM WITH FEEDBACK CONTROLS

ＷＥＮＧＰＥＩＸＵＡＮ（翁佩萱）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｏｕｔｈＣｈｉｎａＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｇｕａｎｇｚｈｏｕ５１０６３１，Ｃｈｉｎａ）ＧＬＯＢＡＬＡＴＴＲＡＣＴＩＶＩＴＹＩＮＡＰＥＲＩＯＤＩＣＣＯＭＰＥＴ...     

EXACT BOUNDS OF THE MODIFIED LPT ALGORITHMS APPLYING TO PARALLEL MACHINES SCHEDULING WITH NONSIMULTANEOUS MACHINE AVAILABLE TIMES

ＥＸＡＣＴＢＯＵＮＤＳＯＦＴＨＥＭＯＤＩＦＩＥＤＬＰＴＡＬＧＯＲＩＴＨＭＳＡＰＰＬＹＩＮＧＴＯＰＡＲＡＬＬＥＬＭＡＣＨＩＮＥＳＳＣＨＥＤＵＬＩＮＧＷＩＴＨＮＯＮＳＩＭＵＬＴＡＮＥＯＵＳＭＡＣＨＩＮＥＡＶＡＩＬＡＢＬＥＴＩＭＥＳＬＩＮＧＵＯＨＵＩ，Ｈ...     

THE SUBDIVISION ALGORITHM FOR GENERATING CURVES AND ITS PROPERTIES

ＴＨＥＳＵＢＤＩＶＩＳＩＯＮＡＬＧＯＲＩＴＨＭＦＯＲＧＥＮＥＲＡＴＩＮＧＣＵＲＶＥＳＡＮＤＩＴＳＰＲＯＰＥＲＴＩＥＳＷＵＺＯＮＧＭＩＮ；ＹＥＱＩＮＧＡＮＤＬＩＵＪＩＡＮＰＩＮＡｂｓｔｒａｃｔ：ＩｎｔｈｅａｐｐｌｉｃａｔｉｏｎｏｆＣＡＤ／ＣＡＭ，ｔｈｅ...     

NON-ISOMORPHIC GROUPS WITH ISOMORPHICSPECTRAL TABLES AND BURNSIDE MATRICES

ＮＯＮ－ＩＳＯＭＯＲＰＨＩＣＧＲＯＵＰＳＷＩＴＨＩＳＯＭＯＲＰＨＩＣＳＰＥＣＴＲＡＬＴＡＢＬＥＳＡＮＤＢＵＲＮＳＩＤＥＭＡＴＲＩＣＥＳ￥Ｗ．ＫＩＭＭＥＲＬＥ；Ｋ．Ｗ．ＲＯＧＧＥＮＫＡＭＰ（ＭａｔｈｅｍａｔｉｓｃｈｅｓｉｎｓｔｉｔｕｔＢ，Ｕｎｉｖｅｒｓ...     

The blow-up property for a system of heat equations with nonlinear boundary conditions

ＴＨＥＢＬＯＷ┐ＵＰＰＲＯＰＥＲＴＹＦＯＲＡＳＹＳＴＥＭＯＦＨＥＡＴＥＱＵＡＴＩＯＮＳＷＩＴＨＮＯＮＬＩＮＥＡＲＢＯＵＮＤＡＲＹＣＯＮＤＩＴＩＯＮＳＬＩＮＺＨＩＧＵＩ,ＸＩＥＣＨＵＮＨＯＮＧＡＮＤＷＡＮＧＭＩＮＧＸＩＮＡｂｓｔｒａｃｔ．Ｔｈｉｓｐａｐ...     

JOULE HEATING AND THERMISTOR PROBLEMS WITH MIXED BOUNDARY CONDITIONS

ＪＯＵＬＥＨＥＡＴＩＮＧＡＮＤＴＨＥＲＭＩＳＴＯＲＰＲＯＢＬＥＭＳＷＩＴＨＭＩＸＥＤＢＯＵＮＤＡＲＹＣＯＮＤＩＴＩＯＮＳＣＨＥＮＱＩＨＯＮＧ（陈启宏）（ＳｕｚｈｏｕＩｎｓｔｉｔｕｔｅｏｆＵｒｂａｎＣｏｎｓｔｒｕｃｔｉｏｎａｎｄＥｎｖｉｒｏｎｍｅｎｔａ...     

EXPONENTIALLY BOUNDED C－SEMIGROUPS AND INTEGRATED SEMIGROUPS WITH NONDENSELY DEFINED GENERATORS──Ⅲ：ANALYTICITY

ＥＸＰＯＮＥＮＴＩＡＬＬＹＢＯＵＮＤＥＤＣ－ＳＥＭＩＧＲＯＵＰＳＡＮＤＩＮＴＥＧＲＡＴＥＤＳＥＭＩＧＲＯＵＰＳＷＩＴＨＮＯＮＤＥＮＳＥＬＹＤＥＦＩＮＥＤＧＥＮＥＲＡＴＯＲＳ──Ⅲ：ＡＮＡＬＹＴＩＣＩＴＹＺｈａｎｇＱｕａｎ（郑权）（Ｄｅｐｔ．ｏｆＭａｔ...     

一种预测—校正式单点迭代方法

本文以Ｎｅｗｔｏｎ迭代法（ｘｎ＋１＝ｘｎ－ｆ（ｘｎ）／ｆ′（ｘｎ），收敛阶为２）为基础，给出了一种新的实用的预测—校正式单点迭代方法（ｘｎ＋１＝ｘｎ－ｕ（ｘｎ）ｆ（ｘｎ）＋１２ｆ（ｘｎ－ｕ（ｘｎ））ｆ（ｘｎ）－１２ｆ（ｘｎ－ｕ（ｘｎ））收敛阶为４）．该方法不仅公式简洁，计算方便，计算量小，而且收敛阶高，收敛速度快     

抽象算子在偏微分方程中的应用(Ⅱ)

Ｔｈｅｏｒｅｍ１　Ｌｅｔｍ∈Ｎａｎｄｍ１,Ｐ（ｘ）ｂｅａｎａｒｂｉｔｒａｒｙｏｒｄｅｒｐａｒｔｉａｌｄｉｆｆｅｒｅｎｔｉａｌｏｐｅｒａ－ｔｏｒ．Ｔｈｅｎｆ（ｘ,ｔ）,φｊ（ｘ）∈Ｊ．（ＷｈｅｒｅＪｓｔａｎｄｆｏｒｔｈｅｓｅｔｏｆａｎａｌｙｔｉｃｆｕｎｃｔｉｏｎｉｎｔｈｉｓｐａｐｅｒ）ｔ＋Ｐ（ｘ）ｍｕ＝ｆ（ｘ,ｔ）ｊｕｔｊｔ＝０＝φｊ（ｘ）　　ｘ∈Ｒｎ,ｔ∈Ｒ１ｊ＝０,１,２,…,ｍ－１．ｕ（ｘ,ｔ）＝∫ｔ０（ｔ－τ）ｍ－１（ｍ－１）！ｅ－（ｔ－τ）Ｐ（ｘ）ｆ（ｘ,τ）ｄτ＋ｅ－…     

一类源自可加、二次、三次和四次映射的泛函方程的模糊稳定性

在模糊Banach空间中研究了混合泛函方程f(x+ky)+f(x-ky)=k~2f(x+y)+k~2f(x-y)+2(1-k~2)f(x)+(k~2(k~2-1))/12(f(2y)-4f(y))的Hyers-Ulam稳定性,这里k>1是固定的一个整数,f(y)=f(y)+f(-y).     

Δu-a(x)u+b(x)u~p=0奇解的渐近性质

讨论了半线性椭圆方程Δu-a(x)u+b(x)up=0奇解的渐近性质,其中u∶Ω→R,ΩRn,n 3,n/(n-2)相似文献   

具有阻尼的半线性波动方程解的衰减估计

研究具有阻尼的半线性波动方程的初边值问题u_(tt)-△u+βu_t=|u|~(p-1)u,x∈Ω,t>0u(x,0)=u_0(x),u_t(x,0)=u_1(x),x∈Ωu|_((?)Ω)=0,t≥0其中γ为正常数,Ω■R~n为有界域,当n≥3时,1相似文献   

一类半线性波动方程的Sobolev指数

Gaustavo Ponce与Thomas C.Sideris猜测：对一些具有特殊非线性项的半线性波动方程,如utt-△u=u^k(Du)^αx∈R^n,k∈Z^ ,ρ＝│α│≥2,其中Sobloev指数会在[n/2,n/2 1]中,他们在x∈R^3时回答了这一问题,本文在R^n(n≥4）中得到了半线性波动方程utt-△u=u^k(Du)^α（x∈R^n,k∈R^n,k∈Z^ ,p=│α│≥2）的Sobolev指数为max{n/2,(n/2-1)1-3/l-1 2},此数确实在区间[n/2,n/2 1]中,特别当ρ≤n-1时,我们得到了此半线性波动方程的Sobolev指数为n/2。     

Multiple Positive Solutions for a Nonlinear Elliptic Equation Involving Hardy–Sobolev–Maz'ya Term

In this paper, we study the existence and nonexistence of multiple positive solutions for the following problem involving Hardy–Sobolev–Maz'ya term:-Δu- λu/|y|2=|u|pt-1u/|y|t+ μf(x), x ∈Ω,where Ω is a bounded domain in RN(N ≥ 2), 0 ∈Ω, x =(y, z) ∈ Rk× RN-kand pt =N +2-2t N-2(0 ≤ t ≤2). For f(x) ∈ C1(Ω)\{0}, we show that there exists a constant μ* 0 such that the problem possessesat least two positive solutions if μ∈(0, μ*) and at least one positive solution if μ = μ*. Furthermore,there are no positive solutions if μ∈(μ*, +∞).     

一类带有时滞的偏微分方程的振动性

研究中立型时滞微分方程     

关于波动方程Cauchy问题解爆破的一个条件

在RN×R+(N≥2)中考虑非线性波动方程: 1980年Kato证明当1     

Existence of positive solutions to nonlinear elliptic equations involving critical Sobolev exponents

In this paper we extend the results of Brezis and Nirenberg in [4] to the problem $$\left\{ \begin{gathered} Lu = - D_i (a_{ij} (x)D_j u) = b(x)u^p + f(x,u) in\Omega , \hfill \\ p = (n + 2)/(n - 2) \hfill \\ u > 0 in\Omega , u = 0 \partial \Omega , \hfill \\ \end{gathered} \right.$$ whereL is a uniformly elliptic operator,b(x)≥0,f(x,u) is a lower order perturbation ofu ^p at infinity. The existence of solutions to (A) is strongly dependent on the behaviour ofa _ij (x), b(x) andf(x, u). For example, for any bounded smooth domain Ω, we have \(a_{ij} \left( x \right) \in C\left( {\bar \Omega } \right)\) such thatLu=u ^p possesses a positive solution inH ₀ ¹ (Ω). We also prove the existence of nonradial solutions to the problem ?Δu=f(|x|, u) in Ω,u>0 in Ωu=0 on ?Ω, Ω=B(0,1). for a class off(r, u).