existence theorem


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existence theorem

[ig′zis·təns ‚thir·əm]
(mathematics)
The theorem that at least one object of a specified type exists.
References in periodicals archive ?
In contrast to Part 1, Part 2 is devoted to the proof of a global existence theorem for another particular case of (gCLM) equation.
It is based on the linearization properties of measure and has many advantages like automatic existence theorem, converting even the strong no-linear problems into a linear, a known method for determining optimal control as a piece wise constant function.
US) add refinements to the existence theorem for Stein structures and present new results concerning surrounding of subsets by J-convex hypersurfaces.
A global existence theorem for autonomous differential equations in Banach spaces, Proc.
Our approach is based on the following sampling existence theorem for differentiable manifolds that was recently presented and applied in the context of Image Processing ([47], [48]) (1):
We obtain the existence theorem of a generalized Sasakian space form with a semi-symmetric non-metric connection and give some examples by the use of warped products.
2006, On the Existence Theorem for Invariant Differential Operators on the Heisenberg Group, Global Journal of Pure and Applied Mathematics, ISSN 0973-1768, 2(2):103-109.
An existence theorem for a nonlinear difference equation.
Without at least an existence theorem for multi-body configurations, all talk of black hole binaries and black hole collisions is twaddle (see also [11]).
Rohn, An existence theorem for systems of nonlinear equations, Z.
The book concludes with a transition to more advanced topics, including the proof of an existence theorem for the Dirichlet problem and an introduction to distributions.