Monotone semiflows in scalar non-quasi-monotone functional differential equations

Set Differential Equations and Monotone Flows

Monotone iterative technique is extended to set differential equations. The nonlinear function involved is allowed to be difference of two monotone functions, which takes care of several results known and new.

Non-Monotone Stochastic Generalized Porous Media Equations∗

By using the Nash inequality and a monotonicity approximation argument, existence and uniqueness of strong solutions are proved for a class of non-monotone stochastic generalized porous media equations. Moreover, we prove for a large class of stochastic PDE that the solutions stay in the smaller L2-space provided the initial value does, so that some recent results in the literature are consider...

Monotone Semiflows Generated by Neutral Equations with Different Delays in Neutral and Retarded Parts

Non-monotone Dualization via Monotone Dualization

The non-monotone dualization (NMD) is one of the most essential tasks required for finding hypotheses in various ILP settings, like learning from entailment [1, 2] and learning from interpretations [3]. Its task is to generate an irredundant prime CNF formula ψ of the dual f where f is a general Boolean function represented by CNF [4]. The DNF formula φ of f is easily obtained by De Morgan’s la...

Solving Monotone Polynomial Equations

We survey some recent results on iterative methods for approximating the least solution of a system of monotone fixed-point polynomial equations.