M. Krasnoselskii et A. Lusnikov, ON A CLASS OF NONLINEAR PROBLEMS AND RELATED SPECIAL PROPERTIES OF LINEAR-OPERATORS, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 221-224
We consider equations and discret time dynamical systems with disconti
nuous nonlinear operators. The aim is to find solutions of equations a
nd steady stales of dynamical systems, which possess some additional i
mportant properties. Some applications are indicated. For some particu
lar problems such an investigation was started by A. Pokrovskii and th
e first author in 1973-78. General results below have been obtained by
the authors in 1993-95.