V. M. Savchin, S. A. Budochkina, “On the Existence of a Variational Principle for an Operator Equation with Second Derivative with Respect to “Time””, Mat. Zametki, 2006, Volume 80, Issue 1,Pages <nobr>87

This article is cited in 9 papers

On the Existence of a Variational Principle for an Operator Equation with Second Derivative with Respect to “Time”

V. M. Savchin, S. A. Budochkina

Peoples Friendship University of Russia

Abstract: Using methods of nonlinear functional analysis, we define the structure of an evolution operator equation of second order that can be formulated in direct variational terms.

Keywords: operator equation with time second derivative, variational principle, Gâteaux derivative, operator potential, Volterra equation.

UDC: 517.93, 517.972.5

Received: 30.04.2003
Revised: 15.07.2005

DOI: 10.4213/mzm2783