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Nirenberg-type problems in Banach lattices

Duma A., Duma I.

Journal of Applied Analysis

2010

Vol. 16, nr 2

189-197

A slightly modified version of the celebrated Nirenberg problem concerning expanding maps is considered. A positive answer is given for a type of lattice-expansive operators in discrete Hilbert lattices. Our approach is motivated by the study of the infinite systems of nonlinear equations.

The connectivity and compactness of solution set of an integral equation and weak solution set of an initial-boundary value problem

Hoa L., Ngoc L.

Demonstratio Mathematica

2006

Vol. 39, nr 2

357-376

In this paper we show that the set of solutions to the following integral equation.