Extending Mappings between Posets

Abstract

A variety of possible extensions of mappings between posets to their Dedekind order completion is presented. One of such extensions has recently been used for solving large classes of nonlinear systems of partial differential equations with possibly associated initial and/or boundary value problems.

References in corpus (3)

• Hausdorff continuous solutions of nonlinear PDEs through the order completion method
• Hausdorff continuous solutions of arbitrary continuous nonlinear PDEs through the order completion method
• Solving large classes of nonlinear systems of PDEs

Cited by in corpus (2)

• Improvement on a Central Theory of PDEs
• Local Functions : Algebras, Ideals, and Reduced Power Algebras