M. N. Yakovlev, “Existence of $2^n$ solutions of a system of $n$ nonlinear equations in $n$ unknowns”, Zap. Nauchn. Sem. POMI, 2002, Volume 284,Pages 263

Existence of $2^n$ solutions of a system of $n$ nonlinear equations in $n$ unknowns

M. N. Yakovlev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: It is demonstrated that, under some conditions, a system of $n$ nonlinear equations with $n$ unknowns has at least $2^n$ solutions.

UDC: 519

Received: 13.01.2002