William C. Troy - Publications

Affiliations: 
University of Pittsburgh, Pittsburgh, PA, United States 
Area:
Mathematics

34 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2015 Troy WC. Existence and exact multiplicity of phaselocked solutions of a Kuramoto model of mutually coupled oscillators Siam Journal On Applied Mathematics. 75: 1745-1760. DOI: 10.1137/15100309X  0.637
2012 Troy WC, Krisner EP. Radially symmetric solutions of Δw+wp-1w=0 International Journal of Differential Equations. 2012. DOI: 10.1155/2012/296591  0.503
2012 Troy WC. Low temperature properties of the Fermi-Dirac, Boltzmann and Bose-Einstein equations Physics Letters, Section a: General, Atomic and Solid State Physics. 376: 2887-2893. DOI: 10.1016/j.physleta.2012.10.003  0.342
2011 Krisner EP, Troy WC. Radially symmetric solutions of a nonlinear elliptic equation International Journal of Mathematics and Mathematical Sciences. 2011. DOI: 10.1155/2011/608576  0.502
2005 Troy WC. The existence and uniqueness of bound-state solutions of a semi-linear equation Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 461: 2941-2963. DOI: 10.1098/rspa.2005.1482  0.658
2003 Laing CR, Troy WC. PDE methods for nonlocal models Siam Journal On Applied Dynamical Systems. 2: 487-516. DOI: 10.1137/030600040  0.629
2003 Laing CR, Troy WC. Two-bump solutions of Amari-type models of neuronal pattern formation Physica D: Nonlinear Phenomena. 178: 190-218. DOI: 10.1016/S0167-2789(03)00013-7  0.328
2003 Sweers G, Troy WC. On the bifurcation curve for an elliptic system of FitzHugh-Nagumo type Physica D: Nonlinear Phenomena. 177: 1-22. DOI: 10.1016/S0167-2789(02)00774-1  0.605
2001 Van Den Berg GJB, Peletier LA, Troy WC. Global branches of multi-bump periodic solutions of the Swift-Hohenberg equation Archive For Rational Mechanics and Analysis. 158: 91-153.  0.668
2000 Aftalion A, Troy WC. On the uniqueness of solutions of the Ginzburg-Landau system for thin films European Journal of Applied Mathematics. 11: 365-380.  0.453
1999 Aftalion A, Troy WC. On the solutions of the one-dimensional Ginzburg-Landau equations for superconductivity Physica D: Nonlinear Phenomena. 132: 214-232. DOI: 10.1016/S0167-2789(99)00026-3  0.475
1998 Hastings SP, Troy WC. There are asymmetric minimizers for the one-dimensional Ginzburg-Landau model of superconductivity Siam Journal On Mathematical Analysis. 30: 1-18. DOI: 10.1137/S0036141096301956  0.539
1998 Peletier LA, Troy WC. Multibump periodic travelling waves in suspension bridges Royal Society of Edinburgh - Proceedings A. 128: 631-659.  0.615
1996 Hastings SP, Troy WC. A shooting approach to chaos in the Lorenz equations Journal of Differential Equations. 127: 41-53. DOI: 10.1006/jdeq.1996.0060  0.479
1996 Hastings SP, Kwong MK, Troy WC. The existence of multiple solutions for a Ginzburg-Landau type model of superconductivity European Journal of Applied Mathematics. 7: 559-574.  0.624
1994 Hassard B, Zhang J, Hastings SP, Troy WC. A computer proof that the Lorenz equations have "chaotic" solutions Applied Mathematics Letters. 7: 79-83. DOI: 10.1016/0893-9659(94)90058-2  0.656
1994 Hastings SP, Troy WC. A Proof That the Lorenz Equations Have a Homoclinic Orbit Journal of Differential Equations. 113: 166-188. DOI: 10.1006/jdeq.1994.1119  0.409
1992 Hastings SP, Troy WC. A shooting approach to the lorenz equations Bulletin of the American Mathematical Society. 27: 298-303. DOI: 10.1090/S0273-0979-1992-00327-0  0.543
1992 Jones J, Troy WC, MacGillivary AD. Steady solutions of the Kuramoto-Sivashinsky equation for small wave speed Journal of Differential Equations. 96: 28-55. DOI: 10.1016/0022-0396(92)90143-B  0.608
1992 Kwong MK, McLeod JB, Peletier LA, Troy WC. On ground state solutions of -Δu = up - uq Journal of Differential Equations. 95: 218-239. DOI: 10.1016/0022-0396(92)90030-Q  0.457
1991 Troy WC. Solutions of a nonlinear boundary layer problem arising in physical oceanography Rocky Mountain Journal of Mathematics. 21: 813-820. DOI: 10.1216/RMJ-1982-21-2-813  0.495
1991 McLeod JB, Troy WC. The Skyrme model for nucleons under spherical symmetry Proceedings of the Royal Society of Edinburgh: Section a Mathematics. 118: 271-288. DOI: 10.1017/S0308210500029085  0.573
1990 McLeod K, Troy WC, Weissler FB. Radial solutions of Δu + f(u) = 0 with prescribed numbers of zeros Journal of Differential Equations. 83: 368-378. DOI: 10.1016/0022-0396(90)90063-U  0.413
1989 Troy WC. Multiple solutions of a nonlinear boundary value problem Proceedings of the Royal Society of Edinburgh: Section a Mathematics. 113: 191-209. DOI: 10.1017/S0308210500024069  0.599
1989 Troy WC. The existence of steady solutions of the Kuramoto-Sivashinsky equation Journal of Differential Equations. 82: 269-313. DOI: 10.1016/0022-0396(89)90134-4  0.739
1988 Peletier LA, Troy WC. On nonexistence of similarity solutions Journal of Mathematical Analysis and Applications. 133: 57-67. DOI: 10.1016/0022-247X(88)90364-2  0.53
1988 Hastings SP, Troy WC. Oscillating solutions of the Falkner-Skan equation for positive β Journal of Differential Equations. 71: 123-144. DOI: 10.1016/0022-0396(88)90041-1  0.581
1987 Eberly D, Troy WC. Existence of logarithmic-type solutions to the Kapila-Kassoy problem in dimensions 3 through 9 Journal of Differential Equations. 70: 309-324. DOI: 10.1016/0022-0396(87)90153-7  0.543
1984 Klaasen GA, Troy WC. The existence, uniqueness, and instability of spherically symmetric solutions of a system of reaction-Diffusion equations Journal of Differential Equations. 52: 91-115. DOI: 10.1016/0022-0396(84)90137-2  0.435
1981 Troy WC. Symmetry properties in systems of semilinear elliptic equations Journal of Differential Equations. 42: 400-413. DOI: 10.1016/0022-0396(81)90113-3  0.592
1980 Troy WC. The existence of traveling wave front solutions of a model of the Belousov-Zhabotinskii chemical reaction Journal of Differential Equations. 36: 89-98. DOI: 10.1016/0022-0396(80)90078-9  0.332
1977 Troy WC. The disappearance of solitary travelling wave solutions of a model of the belousov-zhabotinskii reaction Rocky Mountain Journal of Mathematics. 7: 467-478. DOI: 10.1216/RMJ-1977-7-3-467  0.316
1977 Troy WC. Large amplitude periodic solutions of a system of equations derived from the Hodgkin-Huxley equations Archive For Rational Mechanics and Analysis. 65: 227-247. DOI: 10.1007/BF00280442  0.623
1976 Troy WC. Bifurcation phenomena in FitzHugh's nerve conduction equations Journal of Mathematical Analysis and Applications. 54: 678-690. DOI: 10.1016/0022-247X(76)90187-6  0.582
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