Results 241 to 250 of about 103,871 (266)

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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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An existence and uniqueness theorem in linear elastodynamics

Meccanica, 1975
Laplace transform with respect to time is applied to the boundary-initial-value problem of linear elastodynamics in order to produce a simpler elliptic boundary-value problem. Existence and uniqueness of the weak solution of the latter problem are proved.
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An existence and uniqueness theorem for the Vlasov‐Maxwell system

Communications on Pure and Applied Mathematics, 1984
The purpose of the present paper is to give a local existence and uniqueness theorem for the Vlasov-Maxwell system of equations, which is one of the fundamental sets of equations underlying the kinetic theory of plasma. It is a nonlinear integro-differential system which describes the collective motion of charged particles in the presence of their own ...
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A theorem of existence and uniqueness in nonlinear optics

1979
We consider quasilinear hyperbolic systems of canonical form with boundary conditions for which L. Cesari [Ann. Scuola Norm. Sup. Pisa Cl. Sci. 1 (1974), 311-358 (1975)] proved an existence and uniqueness theorem requiring among other assumptions that the two k×k matrices involved have "dominant main diagonal'' in a suitable sense and a parameter a is ...
P. BASSANINI, SALVATORI, Maria Cesarina
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Existence and Uniqueness Theorems

1999
D W Jordan, P Smith
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