$L^p$ Solutions of Second Order Differential Equations

MR2547105 Renato MANFRIN Renato MANFRIN $L^p$ Solutions of Second Order Differential Equations Funkcialaj Ekvacioj. Serio Internacia 52 2009 255--279 http://fe.math.kobe-u.ac.jp/FE/FullPapers/52-2/52_255.pdf http://www.ams.org/mathscinet-getitem?mr=MR2547105 We give criteria for the $p$-integrability of the solutions of $u''+q(t)u=0$. Second order ODE, Boundedness of solutions, $L^p$ solutions. 34C11, 34D05, 34D10. 52-255 2009 $L^p$ Solutions of Second Order Differential Equations Renato MANFRIN Renato MANFRIN 1 Bellman, R. Stability Theory of Differential Equations McGraw-Hill Book Company, New York 1953 MR0061235

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