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961.
Robert Piessens 《BIT Numerical Mathematics》1970,10(4):476-480
Gaussian quadrature rules for the evaluation of Cauchy principal values of integrals are considered, their relation with Gauss-Legendre formulas is studied, and they are compared with other rules. 相似文献
962.
Lyle Cook 《Journal of multivariate analysis》1974,4(2):235-240
If W and Z are independent random vectors and Y1, Y2, …, Yn are the result of a transformation satisfying certain general conditions then W and Z are distributed according to a certain class of densities if and only if for suitable q, (Y1, …, Yq) and (Yq+1, …, Yn) are independent. 相似文献
963.
A linear integro-differential equation modelling multiple fragmentation with inherent mass loss is investigated by means of substochastic semigroup theory. The existence of a semigroup is established and, under natural conditions on certain coefficients, the generator of this semigroup is identified. This yields, in particular, a validation of the formal mass-loss rate equation for the model. 相似文献
964.
Janusz Matkowski 《Journal of Mathematical Analysis and Applications》2011,373(1):227-234
For a function f defined in an interval I, satisfying the conditions ensuring the existence and uniqueness of the Lagrange mean L[f], we prove that there exists a unique two variable mean M[f] such that
965.
Tsukasa Iwabuchi 《Journal of Mathematical Analysis and Applications》2011,379(2):930-1750
The Cauchy problems for Keller-Segel system are studied using homogeneous Besov spaces. With the homogeneous Besov spaces , which is the scaling critical case for Keller-Segel system, global solutions for small initial data are obtained in the space. In addition, ill-posedness for Keller-Segel system is also studied. 相似文献
966.
Ricardo Abreu-Blaya 《Journal of Mathematical Analysis and Applications》2011,380(1):177-187
In this paper we introduce an alternative way of defining the curvilinear Cauchy integral over non-rectifiable curves in the case of complex functions of one complex variable. Especially the jump behavior on the boundary is considered. As an application, solvability conditions of the Riemann boundary value problem are derived on very weak conditions to the boundary. Besides the complex case the consideration can be extended to the theory of Douglis algebra valued functions. 相似文献
967.
968.
Hernán R. Henríquez Claudio Cuevas 《Mathematical Methods in the Applied Sciences》2014,37(16):2372-2392
In this paper, we study the approximate controllability of control systems with state and control in Banach spaces and described by a second‐order semilinear abstract differential equation. We compare the approximate controllability of the system with the approximate controllability of an associated discrete system. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
969.
路见可 《数学物理学报(B辑英文版)》2004,24(3):507-512
The solutions of the nonlinear singular integral equation ψo(t)2 2b/πi ∫L ψ(τ)/T-t dr =f(t), t ∈ L, are considered, where L is a closed contour in the complex plane, b ≠- 0 is a constant and f(t) is a polynomial. It is an extension of the results obtained in [1] when f(t) is a constant. Certain special cases are illustrated. 相似文献
970.
Cheng-Shi Liu 《Applied Mathematics Letters》2013,26(9):957-962
By a simple mathematical method, we obtain the transition probability density functions of the Ornstein–Uhlenbeck process, Cauchy process, and Ornstein–Uhlenbeck–Cauchy process on a circle. 相似文献