BRANCHING OF PERIODIC SOLUTIONS TO SYSTEMS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
DOI:
https://doi.org/10.52754/16948645_2024_1(4)_7Keywords:
nonlinear partial differential equations of the second order, analytic function, periodic solutionAbstract
In this work, it was investigated that if the function is analytical in terms of the arguments , then using the residue method it is shown that, for >1, the unknown n-dimensional vector C has a small solution. Then the problem (1) either has a unique periodic solution, since the set of periodic solutions with period in t expands in integer and fractional powers of the parameter.
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Боташев А.И., Артыков А.Ж. Метод выделения особенностей в теории возмущений .// Исслед.по интегро-дифференц.уравнениям. – Бишкек: Илим,1994. – Вып.25. – С. 211-221.
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