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 ?
Among the topics are an equilibrium existence theorem without complete or transitive preferences, efficiency and decentralization in the pure theory of public goods, the price equilibrium existence problem in topological vector lattices, an equivalence theorem for a bargaining set, and a simple adaptive procedure leading to correlated equilibrium.
Even today, Tonelli's theorem remains the central existence theorem for dynamic problems, although the hypotheses of the theorem can be relaxed: see, for example, [12].
Lecko, An existence theorem for a class of infinite systems of integral equations, Math.
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.
Existence theorem of a super quasi-Einstein manifold
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.