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Hill differential equation
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<h2 id="external-links">External links</h2> <ul><li><a href="https://www.encyclopediaofmath.org/index.php?title=Hill_equation">"Hill equation"</a>, <i><a href="/facts/Encyclopedia_of_Mathematics/WC6mGtPm">Encyclopedia of Mathematics</a></i>, <a href="/facts/European_Mathematical_Society/B3h7b672">EMS Press</a>, 2001 [1994]</li> <li><a href="/facts/Eric_W._Weisstein/FbMuVDep">Weisstein, Eric W.</a> <a href="https://mathworld.wolfram.com/HillsDifferentialEquation.html">"Hill's Differential Equation"</a>. <i><a href="/facts/MathWorld/yc1jodbq">MathWorld</a></i>.</li> <li>Wolf, G. (2010), <a href="http://dlmf.nist.gov/28.29">"Mathieu Functions and Hill's Equation"</a>, in <a href="/facts/Frank_W._J._Olver/nQYQVRHc">Olver, Frank W. J.</a>; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (eds.), <i><a href="/facts/Digital_Library_of_Mathematical_Functions/ymNQBbgK">NIST Handbook of Mathematical Functions</a></i>, Cambridge University Press, <a href="/facts/ISBN_(identifier)/15AdSPa9">ISBN</a> 978-0-521-19225-5, <a href="/facts/MR_(identifier)/uP137L11">MR</a> <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=2723248">2723248</a>.</li></ul> <h2 id="references">References</h2> <ol> <li id="fn:1"><p>Magnus, W.; Winkler, S. (2013). Hill's equation. Courier. ISBN 9780486150291. <a href="9780486150291" target="_blank">9780486150291</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li> <li id="fn:2"><p>Hill, G.W. (1886). "On the Part of the Motion of Lunar Perigee Which is a Function of the Mean Motions of the Sun and Moon". Acta Math. 8 (1): 1–36. doi:10.1007/BF02417081. <a href="/wiki/George_William_Hill" target="_blank">/wiki/George_William_Hill</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li> <li id="fn:3"><p>Teschl, Gerald (2012). Ordinary Differential Equations and Dynamical Systems. Providence: American Mathematical Society. ISBN 978-0-8218-8328-0. <a href="978-0-8218-8328-0" target="_blank">978-0-8218-8328-0</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li> <li id="fn:4"><p>Magnus, W.; Winkler, S. (2013). Hill's equation. Courier. ISBN 9780486150291. <a href="9780486150291" target="_blank">9780486150291</a> <a href="#fnref:4" class="footnote-back-ref">↩</a></p></li> <li id="fn:5"><p>Hill, G.W. (1886). "On the Part of the Motion of Lunar Perigee Which is a Function of the Mean Motions of the Sun and Moon". Acta Math. 8 (1): 1–36. doi:10.1007/BF02417081. <a href="/wiki/George_William_Hill" target="_blank">/wiki/George_William_Hill</a> <a href="#fnref:5" class="footnote-back-ref">↩</a></p></li> <li id="fn:6"><p>Sheretov, Ernst P. (April 2000). "Opportunities for optimization of the rf signal applied to electrodes of quadrupole mass spectrometers.: Part I. General theory". International Journal of Mass Spectrometry. 198 (1–2): 83–96. doi:10.1016/S1387-3806(00)00165-2. <a href="/wiki/International_Journal_of_Mass_Spectrometry" target="_blank">/wiki/International_Journal_of_Mass_Spectrometry</a> <a href="#fnref:6" class="footnote-back-ref">↩</a></p></li> <li id="fn:7"><p>Casperson, Lee W. (November 1984). "Solvable Hill equation". Physical Review A. 30: 2749. doi:10.1103/PhysRevA.30.2749. <a href="/wiki/Lee_Casperson" target="_blank">/wiki/Lee_Casperson</a> <a href="#fnref:7" class="footnote-back-ref">↩</a></p></li> <li id="fn:8"><p>Brillouin, L. (1946). Wave Propagation in Periodic Structures: Electric Filters and Crystal Lattices, McGraw–Hill, New York <a href="/wiki/L%C3%A9on_Brillouin" target="_blank">/wiki/L%C3%A9on_Brillouin</a> <a href="#fnref:8" class="footnote-back-ref">↩</a></p></li> <li id="fn:9"><p>Koutserimpas, Theodoros T.; Fleury, Romain (October 2018). "Electromagnetic Waves in a Time Periodic Medium With Step-Varying Refractive Index". IEEE Transactions on Antennas and Propagation. 66 (10): 5300–5307. doi:10.1109/TAP.2018.2858200. <a href="https://doi.org/10.1109%2FTAP.2018.2858200" target="_blank">https://doi.org/10.1109%2FTAP.2018.2858200</a> <a href="#fnref:9" class="footnote-back-ref">↩</a></p></li> </ol>