Results 91 to 100 of about 102,908 (120)

Comparison, Existence and Uniqueness Theorems for Stochastic Differential Equations

Theory of Probability & Its Applications, 1986
Translation from Teor. Veroyatn. Primen. 30, No.1, 147-152 (Russian) (1985; Zbl 0567.60060).
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Existence and uniqueness theorem for uncertain heat equation

Journal of Ambient Intelligence and Humanized Computing, 2017
Uncertain heat equation is a type of uncertain partial differential equations, whose heat source is affected by uncertain interference. This paper proves an existence and uniqueness theorem of solutions for general uncertain heat equations under linear growth condition and Lipschitz condition. Moreover, for several special uncertain heat equations, the
Xiangfeng Yang, Yaodong Ni
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Existence and uniqueness theorem for uncertain differential equations

Fuzzy Optimization and Decision Making, 2010
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Chen, X., Liu, B.
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Existence and Uniqueness Theorems for Stochastic Differential-Difference Hybrid Systems

Differential Equations
A stochastic differential-difference hybrid system is a system of interacting variables whose dynamics are described by stochastic differential equations for some of them and difference equations for others. Systems with two types of difference equations are examined: first, a difference equation in the form of a process involving the multiplicative ...
Levakov, A. A., Dolzhenkova, D. A.
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Approximations with a sign-sensitive weight: existence and uniqueness theorems

Izvestiya: Mathematics, 1998
Let \(\mathcal L\) be a normed linear space. A sign-sensitive weight on a set \(E\subset \mathcal L\) is an ordered pair \(p=(p_{-},p_{+})\) of nonnegative functions \(p_{-}(x)\) and \(p_{+}(x)\) defined on \(E\) and allowed to assume, in general, the value \(+\infty \). Approximations with a sign-sensitive weight are a particular case of approximation
Dolzhenko, E. P., Sevast'yanov, E. A.
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A Global Existence and Uniqueness Theorem for Ordinary Differential Equations

Canadian Mathematical Bulletin, 1976
As observed by A. Bielecki and others ([1], [3]) the Banach contraction principle, when applied to the theory of differential equations, provides proofs of existence and uniqueness of solutions only in a local sense. S. C. Chu and J. B. Diaz ([2]) have found that the contraction principle can be applied to operator or functional equations and even ...
Derrick, W., Janos, L.
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Existence and Uniqueness Theorems for the Optimal Inventory Equation

SIAM Journal on Applied Mathematics, 1966
The existence and uniqueness of solutions to (1) is discussed in [1, Chap. 41, [31, and [5]. In all these papers it is always assumed that g(x) is bounded by some constant for all x. Recently Iglehart [5] showed the existence and uniqueness of a solution to (1) under the restrictions that g be convex and that h be (essentially) linear.
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On uniqueness, existence and objectivity of S-R decomposition theorem

Applied Mathematics and Mechanics, 1997
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Chen, Mian, Liang, Jingwei, Chen, Xi, Chen, Zhida   +3 more
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Linear Differential Equations: Existence and Uniqueness Theorems

1998
In this section, we prove the fundamental existyence and uniqueness theorems for first-order linear ordinary differential equation. The existence proof presented here is contructive; although it does not generalized readily to nonlinear differential equations, it has its advantages over more abstract approaches to the existence theorem.(See, for ...
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An Existence and Uniqueness Theorem for Difference Equations

SIAM Journal on Mathematical Analysis, 1989
The nonlinear difference equation $Py(t - k) = f(t,y(t)$ with $(j,n - j)$-conjugate boundary conditions is considered, where $Py(t - k) = 0$ is an nth-order linear difference equation and k is a fixed integer, $0 \leq k < n$. Peterson considered this type of problem for the cases $j = n - 1$ and $j = 1$. This paper extends his results to the $(j,n - j)$
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