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@article{1372601, author = {Kalas, Josef}, article_location = {Berlin}, article_number = {1}, doi = {http://dx.doi.org/10.1515/gmj-2017-0001}, keywords = {Liénard–Mathieu equation; periodic solutions; quasiperiodic solutions; averaging method; method of complexification; phase space analysis}, language = {eng}, issn = {1072-947X}, journal = {Georgian Mathematical Journal}, title = {Periodic solutions of Liénard-Mathieu differential equation with a small parameter}, volume = {24}, year = {2017} }
TY - JOUR ID - 1372601 AU - Kalas, Josef PY - 2017 TI - Periodic solutions of Liénard-Mathieu differential equation with a small parameter JF - Georgian Mathematical Journal VL - 24 IS - 1 SP - 81-95 EP - 81-95 PB - WALTER DE GRUYTER GMBH SN - 1072947X KW - Liénard–Mathieu equation KW - periodic solutions KW - quasiperiodic solutions KW - averaging method KW - method of complexification KW - phase space analysis N2 - The Liénard–Mathieu equation with a small parameter is examined. The existence of periodic and quasiperiodic solutions is proved using the averaging method, the method of complexification and the phase space analysis of an associated autonomous equation. The results extend and generalize those of Kalas and Kadeřábek (2014). ER -
KALAS, Josef. Periodic solutions of Liénard-Mathieu differential equation with a small parameter. \textit{Georgian Mathematical Journal}. Berlin: WALTER DE GRUYTER GMBH, 2017, vol.~24, No~1, p.~81-95. ISSN~1072-947X. Available from: https://dx.doi.org/10.1515/gmj-2017-0001.
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