On a Stability Inequality for Nonlinear Operators
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In this paper we prove a stability inequality for nonlinear operators mapping a subset of a partially ordered vector space into a space of the same type. On the basis of this general setting, we study applications to nonlinear systems, to the stability of a wide class of finite difference methods for ordinary and partial differential equations, as well as to nonlinear differential operators.
Numerical solution of boundary value problems involving ordinary differential equations, Equations involving nonlinear operators (general), General theory of numerical analysis in abstract spaces, Additive difference equations, Ordered topological linear spaces, vector lattices
Numerical solution of boundary value problems involving ordinary differential equations, Equations involving nonlinear operators (general), General theory of numerical analysis in abstract spaces, Additive difference equations, Ordered topological linear spaces, vector lattices
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