A Sturm theorem for partial differential equations of mixed type
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- by Kurt Kreith PDF
- Proc. Amer. Math. Soc. 81 (1981), 75-78 Request permission
Abstract:
A generalization of the Sturm comparison theorem is given for differential equations of mixed type. The results constitute a generalization of Sturmian theorems used in the study of hyperbolic initial boundary value problems.References
- Kurt Kreith, Sturmian theorems for hyperbolic equations, Proc. Amer. Math. Soc. 22 (1969), 277–281. MR 244602, DOI 10.1090/S0002-9939-1969-0244602-7
- Gordon Pagan, Oscillation theorems for characteristic initial value problems for linear hyperbolic equations, Atti. Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 55 (1973), 301–313 (1974) (English, with Italian summary). MR 0369874
- 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 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 81 (1981), 75-78
- MSC: Primary 35B05; Secondary 35M05
- DOI: https://doi.org/10.1090/S0002-9939-1981-0589139-6
- MathSciNet review: 589139