... 2.1 again, wehaveQ=Q,h=˜handH=H. □FootnoteThis work was partially supported by the National Science Council, Taiwan, ROC.Author details1Department of Mathematics, Tamkang ... Nangang District, Taipei City 115, Taiwan, PR ChinaAuthors’ contributionsBoth authors contributed to each part of this work equally and read and approved the final version of themanuscript.Competing ... case m = 1, (1.1)-(1.2) is a scalarSturm-Liouville equation. The scalar Sturm-Liouville equation often arises from somephysical problems, for example, vibration of a string, quantum m echanics...