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Zap. Nauchn. Sem. POMI, 2002 Volume 284, Pages 247–262 (Mi znsl1546)

Existence of $2^n$ periodic solutions of a system of $n$ differential equations of first order

M. N. Yakovlev

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

Abstract: Conditions sufficient for a system of $n$ first-order differential equations with deviating argument to be solvable and to have at least $2^n$ periodic solutions are obtained.

UDC: 519

Received: 15.01.2002


 English version:
Journal of Mathematical Sciences (New York), 2004, 121:4, 2576–2584

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