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On the stability of solutions of a second-order differential equation

On the stability of solutions of a second-order differential equation

This paper deals with the Hill differential equation <disp-formula content-type="math/mathml"> \[ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="d squared y slash d x squared plus StartFraction r Over 1 minus 2 a cosine x plus a squared EndFraction y equals 0"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>d</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:mrow> <mml:mi>y</mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mo>/</mml:mo> …