About Solutions in the Broad Sense of Nonlinear Systems
Bekbauova A. Meirambekuly A.
2026John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2026
Using the method of characteristics this work investigates the existence of periodic solutions in the broad sense for nonlinear systems with non-uniform principal parts where the linear part does not decompose into independent homogeneous equations. Under the assumptions of continuity, boundedness and periodicity in some of the variables of the initial data, solutions in the broad sense are constructed. To study the solutions in the broad sense of a nonlinear system, nonlinear integral operators are constructed within a ball based on integral representations of solutions periodic in some variables for linear systems. The fixed-point principle is then applied to these operators.
differential equation systems , fundamental matrix of the system , nonlinear oscillations , periodic solutions , quasilinear system , solutions in the broad sense
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K.Zhubanov Aktobe Regional University, Aktobe, Kazakhstan
K.Zhubanov Aktobe Regional University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026