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On the algebraic characterizations of right invertible operators of higher degree

Mau N., Ngoc L., Tuan N.

Demonstratio Mathematica

2007

Vol. 40, nr 2

399-409

This paper proves some algebraic charaterizations and Volterra charac- terizations of the generalized right invertible operators of degree k in the case of k is more than or equal to 2. A class of equations induced by generalized right invertible operators of degree of k can be solved in a closed form.

On a nonlinear Kirchhoff-Carrier wave equation in the unit membrane: the quadratic convergence and asymptotic expansion of solutions

Long N., Ngoc L.

Demonstratio Mathematica

2007

Vol. 40, nr 2

365-392

In this paper we consider the initial-boundary value problem for the nonlinear wave equation.

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.