Wong, Pui-Kei A Sturmian theorem for first order partial differential equations. (English) Zbl 0238.35013 Trans. Am. Math. Soc. 166, 125-131 (1972). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 Documents MSC: 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs 35F15 Boundary value problems for linear first-order PDEs 26D10 Inequalities involving derivatives and differential and integral operators PDFBibTeX XMLCite \textit{P.-K. Wong}, Trans. Am. Math. Soc. 166, 125--131 (1972; Zbl 0238.35013) Full Text: DOI References: [1] Paul R. Beesack, Integral inequalities of the Wirtinger type, Duke Math. J. 25 (1958), 477 – 498. · Zbl 0082.27104 [2] Colin Clark and C. A. Swanson, Comparison theorems for elliptic differential equations, Proc. Amer. Math. Soc. 16 (1965), 886 – 890. · Zbl 0134.09001 [3] G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities, Cambridge, at the University Press, 1952. 2d ed. · Zbl 0047.05302 [4] Philip Hartman, Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. · Zbl 0123.21502 [5] Kurt Kreith, A strong comparison theorem for selfadjoint elliptic equations, Proc. Amer. Math. Soc. 19 (1968), 989 – 990. · Zbl 0159.39802 [6] Kurt Kreith, A Picone identity for first order differential systems, J. Math. Anal. Appl. 31 (1970), 297 – 308. · Zbl 0176.09002 [7] C. A. Swanson, A comparison theorem for elliptic differential equations, Proc. Amer. Math. Soc. 17 (1966), 611 – 616. · Zbl 0144.14601 [8] Pui-kei Wong, Wirtinger type inequalities and elliptic differential inequalities., Tôhoku Math. J. (2) 23 (1971), 117 – 127. · Zbl 0219.35035 [9] Pui Kei Wong, Integral inequalities of Wirtinger-type and fourth-order elliptic differential inequalities, Pacific J. Math. 40 (1972), 739 – 751. · Zbl 0228.35037 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.