Existence and relaxation theorems for differential inclusions involving time dependent maximal monotone operators

A measure differential inclusion involving time-dependent maximal monotone operators

We establish in this paper, an existence and uniqueness result of right continuous with bounded variation solution for a perturbed differential inclusion governed by time-dependent maximal monotone operators.

BV right-continuous solutions of second-order differential inclusions governed by maximal monotone operators

This paper concerns existence of right-continuous with bounded variation solutions of a perturbed second-order differential inclusion governed by time and state-dependent maximal monotone operators.

BV right continuous solutions of differential inclusions involving time dependent maximal monotone operators

This paper is devoted to the study of evolution problems involving time dependent maximal monotone operators, which are right continuous and bounded in variation with respect to the Vladimirov's pseudo distance. Several variants and applications are presented.

Existence of Solutions for Nonconvex Differential Inclusions of Monotone Type

Differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in R^n are studied. Under a weakened monotonicity-type condition the existence of solutions is proved.

具有相对论算子与极大单调边界条件的非势系统

Non-potential systems with relativistic operators and maximal monotone boundary conditions

本文研究了包含两个相对论算子的非势系统在极大单调算子边界条件下的可解性，通过不动点表述、先验估计及收敛于零的矩阵证明了其可解性。

Sharp $\left( H_{p},L_{p}\right) $ type inequalities of maximal operators of $T$ means with respect to Vilenkin systems with monotone coefficients

In this paper we prove and discuss some new $\left( H_{p},L_{p}\right)$ type inequalities of maximal operators of $T$ means with respect to the Vilenkin systems with monotone coefficients. We also apply these inequalities to prove strong convergence theorems of such $T$ means. We also show that these results are the best possible in a special sense. As applications, both some well-known and new results are pointed out.