Picone-type theorems for semidiscrete hyperbolic equations
HTML articles powered by AMS MathViewer
- by Kurt Kreith PDF
- Proc. Amer. Math. Soc. 88 (1983), 436-438 Request permission
Abstract:
A comparison theorem of Picone-type is established for hyperbolic boundary value problems by means of a semidiscrete approximation.References
- Garth A. Baker, Error estimates for finite element methods for second order hyperbolic equations, SIAM J. Numer. Anal. 13 (1976), no. 4, 564–576. MR 423836, DOI 10.1137/0713048
- Kurt Kreith, A Sturm theorem for partial differential equations of mixed type, Proc. Amer. Math. Soc. 81 (1981), no. 1, 75–78. MR 589139, DOI 10.1090/S0002-9939-1981-0589139-6
- Kurt Kreith, Picone-type theorems for hyperbolic partial differential equations, Pacific J. Math. 102 (1982), no. 2, 385–395. MR 686559
- Gordon Pagan, An oscillation theorem for characteristic initial value problems in linear hyperbolic equations, Proc. Roy. Soc. Edinburgh Sect. A 77 (1977), no. 3-4, 265–271. MR 599930, DOI 10.1017/S0308210500025191
- C. A. Swanson, Comparison and oscillation theory of linear differential equations, Mathematics in Science and Engineering, Vol. 48, Academic Press, New York-London, 1968. MR 0463570
- C. A. Swanson, A dichotomy of PDE Sturmian theory, SIAM Rev. 20 (1978), no. 2, 285–300. MR 466896, DOI 10.1137/1020041
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 88 (1983), 436-438
- MSC: Primary 35B05; Secondary 35L20
- DOI: https://doi.org/10.1090/S0002-9939-1983-0699409-0
- MathSciNet review: 699409