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In this paper, we prove that a kind of second order stochastic differential op-erator can be represented by the limit of solutions of BSDEs with uniformly continuous coe?cients. This result is a genera... 相似文献
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In this paper, we deal with Lp(p > 1) solutions to one dimensional backward stochastic differential equations(BSDEs) with discontinuous(left or right continuous)generators. We obtain an existence theorem of Lpsolutions to BSDEs whose generators are discontinuous, monotonic in y and uniformly continuous in z. 相似文献
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《Annals of Differential Equations》2010,(3):303-313
This paper is concerned with backward stochastic differential equations with Poisson jumps under some weak assumptions. We prove the existence and uniqueness of the adapted solution, which extends the result of Situ (Stoch. Process. Appl., (1997) 66) to the case where the monotonicity conditions (Briand, Stoch. Process. Appl., (2003) 108) is satisfied, using the extended Bihari inequality and a series of approximate equations. The stability of the solutions can also be obtained for such kind of equations. 相似文献
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本文给出了两个指标的非常系数的线性递推式的显式解。有关方法,避免了由于解高阶线性代数方程所带来的困难。其结果,为求解组合计数中相应定解问题,提供了一个明确的计算公式。 相似文献
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We consider the partial regularity for weak solutions to superquadratic elliptic systems with controllable growth condition, under the assumption of Dini continuous coefficients. The proof relies upon an iteration scheme of a decay estimate for a new type of excess functional. To establish the decay estimate, we use the technique of A-harmonic approximation and obtain a general criterion for a weak solution to be regular in the neighborhood of a given point. In particular, the proof yields directly the optimal H¨older exponent for the derivative of the weak solutions on the regular set. 相似文献
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Let us consider fOllowing the linear differential equation system:We transfrom this system to vector-matrix form:whereand writeTheorem 1 Suppose that the coefficient matrixs A*(t) and A**(t) aIld tl1e frec terIllvectors W*(t) and W**(t) of the lillear differe1ltial equationsare L-iIltegrablc in tlle interval (a, oo) a11dwllere A1, A2, B1 a11d B2 are constants, E a11d n axe sma1l constants.If Y*(t) aIl相似文献
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91. IntroductionSince the result of monotonic lied theorem of BSDE and its aPPlication to nonlinearDoolyMeyer decomposition theorem, the smallest g-supersolution with a constraint on (Y, Z)(see [1]), some developments have been done, for example, in 14], where by a penallzationmethod, Chen and Peng discussed nonlinear Doob-Meyer decomposition theorem ash theBSDE introduced by Duffie and EPsteinI3]. In [51 Lin discussed the smallest g-supersolutionto BSDE with a constraint on (y,z) wi… 相似文献
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设d≥1为正整数,S为Rd中的单纯形,C(S)为S上的连续函数类,f(x)∈C(S),f(x)≥0,f≠0,则文中证明存在Pn(x)∈Ⅱ+n,d={Pn(x)=∑|k|≤n akxk(1-|x|)n-|k|x∈S,ak≥ 0},绝对常数C>0使||f-1/Pn||≤C[ωψ(f,1/√n)+||f||/√n],这里k,x∈Rd,k=(k1,k2,…,kd),x=(x1,x2,…,xd),|k|=k1+k2+…+kd,|x|=x1+x2+…+xd,xk=x1k1x2k2…xdkd,ωψ(f,t)为单纯形S上的一阶Ditzian-Totik光滑模,||f||=maxx∈S|f(x)|. 相似文献
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1 引 言
在古典的微分方程中,利用阶数为实数的分数阶导数代替整数阶导数,能更好地模拟许多物理现象.特别是具有复杂结构的多孔介质中的反常扩散问题. 相似文献
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高阶常系数中立型线性周期系统的周期解 总被引:3,自引:0,他引:3
本文利用Fourier分析方法,对高阶常系数中立型线性周期系统给出了周期解存在、唯一的充要条件,从而推广并改进了以前的结果. 相似文献
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Let \[{\mathfrak{M}_k}\] denote the space of Lorentz witb. constant curvature:
\[1 + {K_{\eta pq}}{x^p}{x^q}\]
where K is a constant and \[\eta = ({\eta _{pq}})\]=diag [1,... 1,-1], We have considered the
wave equation with variable coefficients
\[\frac{\partial }{{\partial {x^j}}}(\sqrt {|\tilde g|} ){{\tilde g}^{jk}}\frac{{\partial u}}{{\partial {x^k}}}) = 0\]
in \[{\mathfrak{M}_k}\] where
\[|\tilde g| = |1 + {K_{\eta pq}}{x^p}{x^q}{|^{ - (n + 1)}},{{\tilde g}^{jk}} = (1 + {K_{\eta pq}}{x^p}{x^q})({\eta _{jk}} + K{x^j}{x^k})\]
and found the explicit solution of the Cauchy problem for equation (1) 相似文献
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考虑具有正负系数的连续变量的差分方程 x(t)-x(t-γ)+P(t)x(t-τ)-Q(t)x(t-σ)=0,其中P,Q∈C([t_0,∞),R~+),τ,σ,γ∈(0,∞)。本文给出了上述方程解的零点分布及方程所有解振动的充分条件并改进和推广了已有的结果。 相似文献
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具有正负系数的连续变量的差分方程解的零点分布 总被引:1,自引:0,他引:1
考虑具有正负系数的连续变量的差分方程x(t)-x(t-γ)+P(t)x(t-т)-Q(t)x(t-σ)=0,其中P,Q∈C([t0,∞),R+),т,σ,γ∈(0,∞).本文给出了上述方程解的零点分布及方程所有解振动的充分条件并改进和推广了已有的结果. 相似文献
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In this paper we study multi-dimensional mean-field backward doubly stochastic differential equations(BDSDEs), that is, BDSDEs whose coefficients depend not only on the solution processes but also on their law. The first part of the paper is devoted to the comparison theorem for multi-dimensional mean-field BDSDEs with Lipschitz conditions.With the help of the comparison result for the Lipschitz case we prove the existence of a solution for multi-dimensional mean-field BDSDEs with an only contin... 相似文献
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