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Showing 1 to 20 of 907 for “"Uniqueness"”.
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Uniqueness implies uniqueness and existence for nonlocal boundary value problems for third order ordinary differential equations.
For the third order ordinary differential equation, $y'''=f(x,y,y',y'')$, it is assumed that, for some $m\geq 4$, solutions of nonlocal boundary value problems satisfying \[y(x_1)=y_1,\ y(x_2)=y_2,\] \[y(x_m)-\sum_{i=3}^{m-1} y(x_{i})=y_3,\] $a<x_1<x_2<\cdots<x_m<b$, and $y_1,y_2,y_3\in\mathbb{R}$, …
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Uniqueness of Solutions of Differential Equations
Uniqueness of solutions for ordinary differential equations is studied. The classical theorems which guarantee uniqueness are surveyed, including discussion and examples. Other results concerning uniqueness are considered in the final chapter, including the relationship between convergence of …
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Uniqueness problems in mean curvature flow
We investigate uniqueness phenomena in mean curvature flow, focusing on two central problems: the behavior of the flow near singularities and the extension of the flow beyond singular times. These questions have significant applications in geometry, topology, and analysis. For the first problem, …
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Uniqueness of p-local truncated Brown-Peterson spectra
When p is an odd prime, we prove that the Fp-cohomology of BP⟨n⟩ as a module over the Steenrod algebra determines the p-local spectrum BP⟨n⟩. In particular, we prove that the p-local spectrum BP⟨n⟩ only depends on its p-completion BP⟨n⟩p̂. As a corollary, this proves that the p-local homotopy type …
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Existence and uniqueness theorems for ordinary differential equations
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1959.
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Existence and uniqueness of best approximants, with numerical applications
Part I of the thesis deals with existence and uniqueness theorems. Strengthening a result due to J. Blatter, it is proved in chapter 3 that a normed linear space is complete if every closed, bounded, and convex set is proximinal. It is also shown, that in a semi-reflexive, locally convex, real …
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Khovanov Homology & Uniqueness of Surfaces in the 4-ball
<p>We use the functoriality of Khovanov homology to examine the smooth, boundary-preserving isotopy of surfaces embedded in the 4-ball. We exemplify an infinite family of prime knots that bound an arbitrarily-large number of smoothly-distinct slice disks by distinguishing the maps they induce on …
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Uniqueness of the Invariant Mean on an Abelian Semigroup
Made available in DSpace on 2014-12-05T21:50:08Z (GMT). No. of bitstreams: 1 0023352.pdf: 1762719 bytes, checksum: 2d20176fb8029d74df5412a24fb95d8d (MD5) Previous issue date: 1957
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Redundancy and uniqueness of subject access points in online catalogs
"The purpose of this study is to examine to what extent the classification number, title, and subject heading fields in catalog records overlap each other in providing subject access points (SAPs), to determine the unique SAPs existing in these fields, and to explore the relationship of the three …
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Mitigating the Problem of Non-uniqueness in Fluid-flow Modeling
Modeling fluid flow in porous media is a valuable and essential tool for developing underground resources such as hydrocarbon reservoirs, groundwater aquifers, or CO₂ sequestration projects. The modeling, if done accurately, can provide a reliable forecast of future fluid behavior. However, the …
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The Long and Bloody Spring: The Uniqueness of the Syrian Uprising
No abstract prepared.
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Uniqueness and Estimation of Three-Dimensional Motion Parameters of Rigid Objects
… fundamental breakthroughs have been made on the uniqueness and estimation of 3-D motion parameters of rigid objects, both on theoretical and computational aspects. When the object surface is restricted to be planar, we show that given two image frames, one can determine uniquely eight "pure …
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Stochastic Stefan problems: existence, uniqueness, and modeling of market limit orders
… or Stefan problems, and show the existence and uniqueness of the solutions to a number of stochastic equations of this kind. We also derive the space and time regularities of the solutions and the associated boundaries via Kolmogorov's Continuity Theorem in a defined normed space. Moreover, we …
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Topological uniqueness results for the special linear and other classical Lie Algebras.
… over finite fields. We establish the topological uniqueness of the special linear Lie algebras over local fields other than the complex numbers (for which this result is not true) in the context of complete separable metric Lie rings. Along the way the topological uniqueness of all local fields …
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