Sturm comparison theorems for elliptic inequalities
HTML articles powered by AMS MathViewer
- by W. Allegretto and C. A. Swanson PDF
- Bull. Amer. Math. Soc. 75 (1969), 1318-1321
References
-
1. W. Allegretto, Comparison and osculation theorems for elliptic equations, Ph.D. thesis, University of British Columbia, Vancouver, British Columbia, Canada, 1969.
- Colin Clark and C. A. Swanson, Comparison theorems for elliptic differential equations, Proc. Amer. Math. Soc. 16 (1965), 886–890. MR 180753, DOI 10.1090/S0002-9939-1965-0180753-X
- J. B. Diaz and Joyce R. McLaughlin, Sturm comparison theorems for ordinary and partial differential equations, Bull. Amer. Math. Soc. 75 (1969), 335–339. MR 239244, DOI 10.1090/S0002-9904-1969-12160-9
- Philip Hartman and Aurel Wintner, On a comparison theorem for selfadjoint partial differential equations of elliptic type, Proc. Amer. Math. Soc. 6 (1955), 862–865. MR 74668, DOI 10.1090/S0002-9939-1955-0074668-9
- V. B. Headley and C. A. Swanson, Oscillation criteria for elliptic equations, Pacific J. Math. 27 (1968), 501–506. MR 236502
- Kurt Kreith, A new proof of a comparison theorem for elliptic equations, Proc. Amer. Math. Soc. 14 (1963), 33–35. MR 149067, DOI 10.1090/S0002-9939-1963-0149067-6
- Kurt Kreith, Comparison theorems for constrained rods, SIAM Rev. 6 (1964), 31–36. MR 160963, DOI 10.1137/1006004
- Kurt Kreith, A strong comparison theorem for selfadjoint elliptic equations, Proc. Amer. Math. Soc. 19 (1968), 989–990. MR 227594, DOI 10.1090/S0002-9939-1968-0227594-5
- Kurt Kreith, A remark on a comparison theorem of Swanson, Proc. Amer. Math. Soc. 20 (1969), 549–550. MR 236503, DOI 10.1090/S0002-9939-1969-0236503-5 10. L. M. Kuks, Sturm’s theorem and oscillation of solutions of strongly elliptic systems, Soviet Math. Dokl. 3 (1962), 24-27.
- A. McNabb, Strong comparison theorems for elliptic equations of second order. , J. Math. Mech. 10 (1961), 431–440. MR 0142881 12. Mauro Picone, Un teorema sulle soluzioni delle equazioni lineari ellittiche autoaggiunte alle derivate parziali del secondo-ordine, Rend. Ace. Lincei 20 (1) (1911), 213-219.
- M. H. Protter, A comparison theorem for elliptic equations, Proc. Amer. Math. Soc. 10 (1959), 296–299. MR 107076, DOI 10.1090/S0002-9939-1959-0107076-6
- R. M. Redheffer, A Sturmian theorem for partial differential equations, Proc. Amer. Math. Soc. 8 (1957), 458–462. MR 86253, DOI 10.1090/S0002-9939-1957-0086253-5
- C. A. Swanson, A generalization of Sturm’s comparison theorem, J. Math. Anal. Appl. 15 (1966), 512–519. MR 204820, DOI 10.1016/0022-247X(66)90105-3
- C. A. Swanson, Comparison theorems for elliptic equations on unbounded domains, Trans. Amer. Math. Soc. 126 (1967), 278–285. MR 203211, DOI 10.1090/S0002-9947-1967-0203211-9
- C. A. Swanson, An identity for elliptic equations with applications, Trans. Amer. Math. Soc. 134 (1968), 325–333. MR 232074, DOI 10.1090/S0002-9947-1968-0232074-1
- 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, Comparison theorems for quasilinear elliptic differential inequalities, J. Differential Equations 7 (1970), 243–250. MR 255968, DOI 10.1016/0022-0396(70)90109-9
Additional Information
- Journal: Bull. Amer. Math. Soc. 75 (1969), 1318-1321
- DOI: https://doi.org/10.1090/S0002-9904-1969-12411-0
- MathSciNet review: 0245959