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Systems of nonlinear algebraic equations with positive solutions.


ABSTRACT: We are concerned with the positive solutions of an algebraic system depending on a parameter [Formula: see text] and arising in economics. For [Formula: see text] we prove that the system has at least a solution. For [Formula: see text] we give three proofs of the existence and a proof of the uniqueness of the solution. Brouwer's theorem and inequalities involving convex functions are essential tools in our proofs.

SUBMITTER: Ciurte A 

PROVIDER: S-EPMC5539268 | biostudies-other | 2017

REPOSITORIES: biostudies-other

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