On nonlinear problems for functional differential equation
A. S. Larionov1, P. M. Simonov2
Annotation | Given the approval of the solvability of nonlinear problems for first order differential equation with retarded argument. The statements are derived from the monotone iterative technique. |
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Keywords | Isotonic and antitonic operators, upper and lower solutions, the operator of internal superposition, a problem of Cauchy -- Nicoletti, a model of Mackey -- Glass |
1Docent of the Department of Mathematics, Bratsk State University, Bratsk, larios84@yandex.ru
2Professor of the Department of Information Systems and Mathematical Methods in Economics, Perm State National Research University, Perm, simpm@mail.ru
Citation: A. S. Larionov, P. M. Simonov, "[On nonlinear problems for functional differential equation]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:1 (2015) 82–88 (In Russian)