Edit Profile Troy, William C. Compute Distance To: Compute Author ID: troy.william-c Published as: Troy, W.; Troy, W. C.; Troy, William; Troy, William C. Documents Indexed: 108 Publications since 1976, including 1 Book all top 5 Co-Authors 31 single-authored 21 Peletier, Lambertus Adrianus 14 Hastings, Stuart P. 9 McLeod, John Bryce 6 Ermentrout, George Bard 4 Klaasen, Gene A. 3 Laing, Carlo R. 3 Rajagopal, Kumbakonam Ramamani 2 Aftalion, Amandine 2 Bebernes, Jerrold W. 2 Hale, Jack Kenneth 2 Krisner, Edward P. 2 Kwong, Man Kam 2 Lu, Chunqing 2 Mizel, Victor J. 2 Rinzel, John 2 Rotariu-Bruma, A. I. 2 Stuart, Charles Alexander 1 Anderson, Stewart J. 1 Caginalp, Gunduz 1 Chen, Xinfu 1 Eberly, Dave 1 Ermentrout, Bard G. 1 Field, Richard J. 1 González Llorente, José 1 Gutkin, Boris S. 1 Hassard, Brian D. 1 Jones, James A. 1 Jones, James D. 1 Kazarinoff, Nicholas D. 1 Keener, James P. 1 Kneezel, Timothy 1 MacGillivary, A. D. 1 Manfredi, Juan J. 1 Massoudi, Mehrdad 1 McLeod, Kevin 1 Merdan, Hüseyin 1 Overman, Edward A. II 1 Paullet, Joseph Edward 1 Pinto, David J. 1 Raghavan, Serugudi V. 1 Rubin, Jonathan E. 1 Shusterman, Vladimir 1 Sweers, Guido H. 1 Szeri, Andras Z. 1 van den Berg, Jan Bouwe 1 Vandervorst, Robertus C. A. M. 1 Weissler, Fred B. 1 Wineman, Alan S. 1 Wu, Jang-Mei 1 Zhang, Jianhe all top 5 Serials 15 Journal of Differential Equations 12 SIAM Journal on Applied Mathematics 12 SIAM Journal on Mathematical Analysis 7 Quarterly of Applied Mathematics 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Archive for Rational Mechanics and Analysis 4 Journal of Mathematical Analysis and Applications 4 Rocky Mountain Journal of Mathematics 4 SIAM Journal on Applied Dynamical Systems 3 Physica D 3 European Journal of Applied Mathematics 3 Differential and Integral Equations 2 Applied Mathematics Letters 2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 International Journal of Non-Linear Mechanics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Arabian Journal for Science and Engineering 1 Differential Equations 1 International Journal of Mathematics and Mathematical Sciences 1 CWI Quarterly 1 European Journal of Mechanics. B. Fluids 1 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 1 Bulletin of the American Mathematical Society. New Series 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 RIMS Kokyuroku 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Pure and Applied Mathematics 1 International Journal of Differential Equations 1 Progress in Nonlinear Differential Equations and Their Applications all top 5 Fields 60 Ordinary differential equations (34-XX) 49 Partial differential equations (35-XX) 22 Biology and other natural sciences (92-XX) 15 Fluid mechanics (76-XX) 8 Integral equations (45-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Mechanics of deformable solids (74-XX) 5 Numerical analysis (65-XX) 3 Optics, electromagnetic theory (78-XX) 3 Geophysics (86-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 85 Publications have been cited 1,270 times in 921 Documents Cited by ▼ Year ▼ Symmetry properties in systems of semilinear elliptic equations. Zbl 0486.35032Troy, William C. 116 1981 Spatial patterns. Higher order models in physics and mechanics. Zbl 1076.34515Peletier, L. A.; Troy, W. C. 102 2001 Multiple bumps in a neuronal model of working memory. Zbl 1017.45006Laing, Carlo R.; Troy, William C.; Gutkin, Boris; Ermentrout, G. Bard 76 2002 PDE methods for nonlocal models. Zbl 1088.34011Laing, Carlo R.; Troy, William C. 53 2003 An existence theorem for the flow of a non-Newtonian fluid past an infinite porous plate. Zbl 0599.76013Rajagopal, K. R.; Szeri, A. Z.; Troy, W. 45 1986 Spatial patterns described by the extended Fisher-Kolmogorov equation: Periodic solutions. Zbl 0891.34048Peletier, L. A.; Troy, W. C. 44 1997 Uniqueness of flow of a second-order fluid past a stretching sheet. Zbl 0613.76006Troy, William C.; Overman, Edward A. II; Ermentrout, G. B.; Keener, James P. 43 1987 Stationary solutions of a fourth order nonlinear diffusion equation. Zbl 0856.35029Peletier, L. A.; Troy, W. C.; van der Vorst, R. C. A. M. 39 1995 A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation. Zbl 0862.34030Peletier, L. A.; Troy, W. C. 37 1995 Exact homoclinic and heteroclinic solutions of the Gray-Scott model for autocatalysis. Zbl 0965.34037Hale, J. K.; Peletier, L. A.; Troy, W. C. 31 2000 Two-bump solutions of Amari-type models of neuronal pattern formation. Zbl 1011.92007Laing, Carlo R.; Troy, William C. 30 2003 Spatial patterns described by the extended Fisher-Kolmogorov (EFK) equation: Kinks. Zbl 0826.34056Peletier, L. A.; Troy, W. C. 30 1995 Radial solutions of \(\Delta u+f(u)=0\) with prescribed numbers of zeros. Zbl 0695.34020McLeod, Kevin; Troy, W. C.; Weissler, F. B. 29 1990 Chaotic spatial patterns described by the extended Fisher-Kolmogorov equation. Zbl 0862.34012Peletier, L. A.; Troy, W. C. 28 1996 Global branches of multi-bump periodic solutions of the Swift-Hohenberg equation. Zbl 0983.34032van den Berg, G. J. B.; Peletier, L. A.; Troy, W. C. 27 2001 Spatial patterns in higher order phase transitions. Zbl 0872.34032Peletier, L. A.; Troy, W. C. 27 1996 Solutions of third-order differential equations relevant to draining and coating flows. Zbl 0807.34030Troy, William C. 26 1993 The existence of bounded solutions of a semilinear heat equation. Zbl 0655.35039Troy, William C. 22 1987 The existence of traveling wave front solutions of a model of the Belousov-Zhabotinskii chemical reaction. Zbl 0429.34025Troy, William C. 22 1980 Periodic phases in second-order materials. Zbl 0931.74006Mizel, V. J.; Peletier, L. A.; Troy, W. C. 21 1998 Stability and instability in the Gray-Scott model: The case of equal diffusivities. Zbl 0936.92034Hale, J. K.; Peletier, L. A.; Troy, W. C. 19 1999 On ground state solutions of \(-\Delta{} u=u^ p-u^ q\). Zbl 0778.35039Kwong, M. K.; McLeod, J. B.; Peletier, L. A.; Troy, W. C. 19 1992 Sustained spatial patterns of activity in neuronal populations without recurrent excitation. Zbl 1075.45011Rubin, Jonathan E.; Troy, William C. 17 2004 The existence of spiral waves in an oscillatory reaction-diffusion system. Zbl 0823.92003Paullet, Joseph; Ermentrout, Bard; Troy, William 17 1994 Stationary wave solutions of a system of reaction-diffusion equations derived from the FitzHugh-Nagumo equations. Zbl 0543.35051Klaasen, Gene A.; Troy, William C. 17 1984 A computer proof that the Lorenz equations have “chaotic” solutions. Zbl 0792.65050Hassard, B.; Zhang, J.; Hastings, S. P.; Troy, W. C. 16 1994 A shooting approach to the Lorenz equations. Zbl 0764.58023Hastings, S. P.; Troy, W. C. 16 1992 Bifurcation phenomena in FitzHugh’s nerve conduction equations. Zbl 0329.92001Troy, William C. 14 1976 On the bifurcation curve for an elliptic system of FitzHugh-Nagumo type. Zbl 1082.35068Sweers, Guido; Troy, William C. 13 2003 A proof that the Lorenz equations have a homoclinic orbit. Zbl 0807.34059Hastings, S. P.; Troy, W. C. 12 1994 Nonexistence for the Kassoy problem. Zbl 0645.34008Bebernes, J.; Troy, W. 12 1987 A shooting approach to chaos in the Lorenz equations. Zbl 0849.34031Hastings, S. P.; Troy, W. C. 11 1996 Existence of logarithmic-type solutions to the Kapila-Kassoy problem in dimensions 3 through 9. Zbl 0648.34018Eberly, D.; Troy, W. C. 11 1987 Multibump periodic travelling waves in suspension bridges. Zbl 0909.35143Peletier, L. A.; Troy, W. C. 10 1998 Existence of solutions to the equations governing the flow of granular materials. Zbl 0755.76012Rajagopal, K. R.; Troy, W.; Massoudi, M. 10 1992 The existence of steady solutions of the Kuramoto-Sivashinsky equation. Zbl 0693.34053Troy, William C. 10 1989 Oscillating solutions of the Falkner-Skan for positive \(\beta\). Zbl 0703.34044Hastings, S. P.; Troy, W. C. 10 1988 The bifurcation of periodic solutions in the Hodgkin-Huxley equations. Zbl 0403.35090Troy, William C. 10 1978 On the solutions of the one-dimensional Ginzburg-Landau equations for superconductivity. Zbl 0946.34023Aftalion, Amandine; Troy, William C. 9 1999 Large amplitude stationary waves in an excitable lateral-inhibitory medium. Zbl 0561.92001Ermentrout, G. B.; Hastings, S. P.; Troy, W. C. 9 1984 The stability of traveling wave front solutions of a reaction-diffusion system. Zbl 0467.35011Klaasen, Gene A.; Troy, William C. 9 1981 Oscillation phenomena in the Hodgkin-Huxley equations. Zbl 0373.34019Troy, William C. 8 1976 The asymptotic behavior of solutions of a system of reaction-diffusion equations which models the Belousov-Zhabotinskii chemical reaction. Zbl 0467.35015Klaasen, Gene A.; Troy, William C. 7 1981 Pulse-like spatial patterns described by higher-order model equations. Zbl 0920.34048Peletier, L. A.; Rotariu-Bruma, A. I.; Troy, W. C. 6 1998 The existence of multiple solutions for a Ginzburg-Landau type model of superconductivity. Zbl 0880.34023Hastings, S. P.; Kwong, M. K.; Troy, W. C. 6 1996 A one-variable map analysis of bursting in the Belousov-Zhabotinskii reaction. Zbl 0514.34033Rinzel, John; Troy, William C. 6 1983 Uniqueness of positive ground state solutions of the logarithmic Schrödinger equation. Zbl 1348.35247Troy, William C. 5 2016 Patterns and features of families of traveling waves in large-scale neuronal networks. Zbl 1210.34030Troy, William C.; Shusterman, Vladimir 5 2007 There are asymmetric minimizers for the one-dimensional Ginzburg–Landau model of superconductivity. Zbl 0923.34019Hastings, Stuart P.; Troy, William C. 5 1999 The Skyrme model for nucleons under spherical symmetry. Zbl 0734.34023McLeod, J. B.; Troy, W. C. 5 1991 On some conjectures of Turcotte, Spence, Bau, and Holmes. Zbl 0704.34027Hastings, S. P.; Troy, W. C. 5 1989 Oscillating solutions of the Falkner-Skan equation for negative \(\beta\). Zbl 0621.76033Hastings, S. P.; Troy, W. C. 5 1987 The role of Painleve II in predicting new liquid crystal self-assembly mechanisms. Zbl 1393.35210Troy, William C. 4 2018 Traveling waves and synchrony in an excitable large-scale neuronal network with asymmetric connections. Zbl 1166.45006Troy, William C. 4 2008 The existence and uniqueness of bound-state solutions of a semi-linear equation. Zbl 1186.34038Troy, W. C. 4 2005 Stability of standing waves for some nonlinear Schrödinger equations. Zbl 1037.34022McLeod, J. B.; Stuart, C. A.; Troy, W. C. 4 2003 Pattern formation described by the Swift-Hohenberg equation. Zbl 1058.35528Peletier, L. A.; Troy, W. C. 4 2000 An exact reduction of Maxwell’s equations. Zbl 0797.34035McLeod, J. B.; Stuart, C. A.; Troy, W. C. 4 1992 Steady solutions of the Kuramoto-Sivashinsky equation for small wave speed. Zbl 0745.34037Jones, J.; Troy, W. C.; MacGillivary, A. D. 4 1992 Nonexistence of monotone solutions in a model of dendritic growth. Zbl 0701.34046Troy, William C. 4 1990 Existence of solutions of the similarity equations for floating rectangular cavities and disks. Zbl 0657.76032Lu, Chunqing; Kazarinoff, Nicholas D.; McLeod, J. Bryce; Troy, William C. 4 1988 A note on non-universal deformations of nonlinear elastic layers. Zbl 0613.73036Rajagopal, K. R.; Troy, W. C.; Wineman, A. S. 4 1986 Phaselocking in a reaction-diffusion system with a linear frequency gradient. Zbl 0606.92012Ermentrout, G. B.; Troy, W. C. 4 1986 Oscillatory solutions of the Falkner-Skan equation. Zbl 0586.76049Hastings, S. P.; Troy, W. 4 1985 The existence of solitary traveling wave solutions of a model of the Belousov-Zhabotinskii reaction. Zbl 0449.35091Field, Richard J.; Troy, William C. 4 1979 Non-monotonic solutions of the Falkner-Skan boundary layer equation. Zbl 0423.76028Troy, William C. 4 1979 Asymmetric activity waves in synaptic cortical systems. Zbl 1171.92012Pinto, David J.; Troy, William; Kneezel, Timothy 3 2009 Self-similar solutions for infiltration of dopant into semiconductors. Zbl 0752.35029Peletier, L. A.; Troy, W. C. 3 1991 On nonexistence of similarity solutions. Zbl 0673.35045Peletier, L. A.; Troy, W. C. 3 1988 Oscillations in a third order differential equation modeling a nuclear reactor. Zbl 0349.34030Troy, William C. 3 1977 Existence and exact multiplicity of phaselocked solutions of a Kuramoto model of mutually coupled oscillators. Zbl 1322.45005Troy, William C. 2 2015 Self-similar solutions for diffusion in semiconductors. Zbl 0811.35146Peletier, L. A.; Troy, W. C. 2 1994 Bounded solutions of \(\Delta u+|u|^{p-1}u-|u|^{q-1}u=0\) in the supercritical case. Zbl 0736.34026Troy, William C. 2 1990 The uniqueness and stability of the rest state for strongly coupled oscillators. Zbl 0701.35019Ermentrout, G. Bard; Troy, William C. 2 1989 The behavior of solutions of a nonlinear boundary layer equation. Zbl 0652.76015Lu, Chunqing; Troy, William C. 2 1988 On \(p\)-harmonic measures in half-spaces. Zbl 1432.35100Llorente, José G.; Manfredi, Juan J.; Troy, William C.; Wu, Jang-Mei 1 2019 Bifurcation analysis of a single-group asset flow model. Zbl 1403.91390Merdan, H.; Caginalp, G.; Troy, W. C. 1 2016 Wave phenomena in neuronal networks. Zbl 1218.92025Troy, W. C. 1 2008 Boundary value problems in the Fanno model for turbulent compressible flow. Zbl 1007.76029Hastings, S. P.; McLeod, J. B.; Troy, W. C. 1 2002 On the Opial-Olech-Beesack inequalities. Zbl 0979.26011Troy, William C. 1 2001 On the uniqueness of solutions to the Ginzburg-Landau system for thin films. Zbl 0976.34027Aftalion, Amandine; Troy, William C. 1 2000 A singular perturbation problem arising from the Kuramoto-Sivashinski equation. Zbl 0879.34028Raghavan, S. V.; McLeod, J. B.; Troy, W. C. 1 1997 Static spherically symmetric solutions of a Yang-Mills field coupled to a dilaton. Zbl 0840.34016Hastings, S. P.; McLeod, J. B.; Troy, W. C. 1 1995 Linear stability of a solid ball in an undercooled liquid. Zbl 0832.73006Chen, Xinfu; Jones, James; Troy, William C. 1 1995 A threshold phenomenon in the Field-Noyes model of the Belousov- Zhabotinskii reaction. Zbl 0381.92004Troy, William C. 1 1977 On \(p\)-harmonic measures in half-spaces. Zbl 1432.35100Llorente, José G.; Manfredi, Juan J.; Troy, William C.; Wu, Jang-Mei 1 2019 The role of Painleve II in predicting new liquid crystal self-assembly mechanisms. Zbl 1393.35210Troy, William C. 4 2018 Uniqueness of positive ground state solutions of the logarithmic Schrödinger equation. Zbl 1348.35247Troy, William C. 5 2016 Bifurcation analysis of a single-group asset flow model. Zbl 1403.91390Merdan, H.; Caginalp, G.; Troy, W. C. 1 2016 Existence and exact multiplicity of phaselocked solutions of a Kuramoto model of mutually coupled oscillators. Zbl 1322.45005Troy, William C. 2 2015 Asymmetric activity waves in synaptic cortical systems. Zbl 1171.92012Pinto, David J.; Troy, William; Kneezel, Timothy 3 2009 Traveling waves and synchrony in an excitable large-scale neuronal network with asymmetric connections. Zbl 1166.45006Troy, William C. 4 2008 Wave phenomena in neuronal networks. Zbl 1218.92025Troy, W. C. 1 2008 Patterns and features of families of traveling waves in large-scale neuronal networks. Zbl 1210.34030Troy, William C.; Shusterman, Vladimir 5 2007 The existence and uniqueness of bound-state solutions of a semi-linear equation. Zbl 1186.34038Troy, W. C. 4 2005 Sustained spatial patterns of activity in neuronal populations without recurrent excitation. Zbl 1075.45011Rubin, Jonathan E.; Troy, William C. 17 2004 PDE methods for nonlocal models. Zbl 1088.34011Laing, Carlo R.; Troy, William C. 53 2003 Two-bump solutions of Amari-type models of neuronal pattern formation. Zbl 1011.92007Laing, Carlo R.; Troy, William C. 30 2003 On the bifurcation curve for an elliptic system of FitzHugh-Nagumo type. Zbl 1082.35068Sweers, Guido; Troy, William C. 13 2003 Stability of standing waves for some nonlinear Schrödinger equations. Zbl 1037.34022McLeod, J. B.; Stuart, C. A.; Troy, W. C. 4 2003 Multiple bumps in a neuronal model of working memory. Zbl 1017.45006Laing, Carlo R.; Troy, William C.; Gutkin, Boris; Ermentrout, G. Bard 76 2002 Boundary value problems in the Fanno model for turbulent compressible flow. Zbl 1007.76029Hastings, S. P.; McLeod, J. B.; Troy, W. C. 1 2002 Spatial patterns. Higher order models in physics and mechanics. Zbl 1076.34515Peletier, L. A.; Troy, W. C. 102 2001 Global branches of multi-bump periodic solutions of the Swift-Hohenberg equation. Zbl 0983.34032van den Berg, G. J. B.; Peletier, L. A.; Troy, W. C. 27 2001 On the Opial-Olech-Beesack inequalities. Zbl 0979.26011Troy, William C. 1 2001 Exact homoclinic and heteroclinic solutions of the Gray-Scott model for autocatalysis. Zbl 0965.34037Hale, J. K.; Peletier, L. A.; Troy, W. C. 31 2000 Pattern formation described by the Swift-Hohenberg equation. Zbl 1058.35528Peletier, L. A.; Troy, W. C. 4 2000 On the uniqueness of solutions to the Ginzburg-Landau system for thin films. Zbl 0976.34027Aftalion, Amandine; Troy, William C. 1 2000 Stability and instability in the Gray-Scott model: The case of equal diffusivities. Zbl 0936.92034Hale, J. K.; Peletier, L. A.; Troy, W. C. 19 1999 On the solutions of the one-dimensional Ginzburg-Landau equations for superconductivity. Zbl 0946.34023Aftalion, Amandine; Troy, William C. 9 1999 There are asymmetric minimizers for the one-dimensional Ginzburg–Landau model of superconductivity. Zbl 0923.34019Hastings, Stuart P.; Troy, William C. 5 1999 Periodic phases in second-order materials. Zbl 0931.74006Mizel, V. J.; Peletier, L. A.; Troy, W. C. 21 1998 Multibump periodic travelling waves in suspension bridges. Zbl 0909.35143Peletier, L. A.; Troy, W. C. 10 1998 Pulse-like spatial patterns described by higher-order model equations. Zbl 0920.34048Peletier, L. A.; Rotariu-Bruma, A. I.; Troy, W. C. 6 1998 Spatial patterns described by the extended Fisher-Kolmogorov equation: Periodic solutions. Zbl 0891.34048Peletier, L. A.; Troy, W. C. 44 1997 A singular perturbation problem arising from the Kuramoto-Sivashinski equation. Zbl 0879.34028Raghavan, S. V.; McLeod, J. B.; Troy, W. C. 1 1997 Chaotic spatial patterns described by the extended Fisher-Kolmogorov equation. Zbl 0862.34012Peletier, L. A.; Troy, W. C. 28 1996 Spatial patterns in higher order phase transitions. Zbl 0872.34032Peletier, L. A.; Troy, W. C. 27 1996 A shooting approach to chaos in the Lorenz equations. Zbl 0849.34031Hastings, S. P.; Troy, W. C. 11 1996 The existence of multiple solutions for a Ginzburg-Landau type model of superconductivity. Zbl 0880.34023Hastings, S. P.; Kwong, M. K.; Troy, W. C. 6 1996 Stationary solutions of a fourth order nonlinear diffusion equation. Zbl 0856.35029Peletier, L. A.; Troy, W. C.; van der Vorst, R. C. A. M. 39 1995 A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation. Zbl 0862.34030Peletier, L. A.; Troy, W. C. 37 1995 Spatial patterns described by the extended Fisher-Kolmogorov (EFK) equation: Kinks. Zbl 0826.34056Peletier, L. A.; Troy, W. C. 30 1995 Static spherically symmetric solutions of a Yang-Mills field coupled to a dilaton. Zbl 0840.34016Hastings, S. P.; McLeod, J. B.; Troy, W. C. 1 1995 Linear stability of a solid ball in an undercooled liquid. Zbl 0832.73006Chen, Xinfu; Jones, James; Troy, William C. 1 1995 The existence of spiral waves in an oscillatory reaction-diffusion system. Zbl 0823.92003Paullet, Joseph; Ermentrout, Bard; Troy, William 17 1994 A computer proof that the Lorenz equations have “chaotic” solutions. Zbl 0792.65050Hassard, B.; Zhang, J.; Hastings, S. P.; Troy, W. C. 16 1994 A proof that the Lorenz equations have a homoclinic orbit. Zbl 0807.34059Hastings, S. P.; Troy, W. C. 12 1994 Self-similar solutions for diffusion in semiconductors. Zbl 0811.35146Peletier, L. A.; Troy, W. C. 2 1994 Solutions of third-order differential equations relevant to draining and coating flows. Zbl 0807.34030Troy, William C. 26 1993 On ground state solutions of \(-\Delta{} u=u^ p-u^ q\). Zbl 0778.35039Kwong, M. K.; McLeod, J. B.; Peletier, L. A.; Troy, W. C. 19 1992 A shooting approach to the Lorenz equations. Zbl 0764.58023Hastings, S. P.; Troy, W. C. 16 1992 Existence of solutions to the equations governing the flow of granular materials. Zbl 0755.76012Rajagopal, K. R.; Troy, W.; Massoudi, M. 10 1992 An exact reduction of Maxwell’s equations. Zbl 0797.34035McLeod, J. B.; Stuart, C. A.; Troy, W. C. 4 1992 Steady solutions of the Kuramoto-Sivashinsky equation for small wave speed. Zbl 0745.34037Jones, J.; Troy, W. C.; MacGillivary, A. D. 4 1992 The Skyrme model for nucleons under spherical symmetry. Zbl 0734.34023McLeod, J. B.; Troy, W. C. 5 1991 Self-similar solutions for infiltration of dopant into semiconductors. Zbl 0752.35029Peletier, L. A.; Troy, W. C. 3 1991 Radial solutions of \(\Delta u+f(u)=0\) with prescribed numbers of zeros. Zbl 0695.34020McLeod, Kevin; Troy, W. C.; Weissler, F. B. 29 1990 Nonexistence of monotone solutions in a model of dendritic growth. Zbl 0701.34046Troy, William C. 4 1990 Bounded solutions of \(\Delta u+|u|^{p-1}u-|u|^{q-1}u=0\) in the supercritical case. Zbl 0736.34026Troy, William C. 2 1990 The existence of steady solutions of the Kuramoto-Sivashinsky equation. Zbl 0693.34053Troy, William C. 10 1989 On some conjectures of Turcotte, Spence, Bau, and Holmes. Zbl 0704.34027Hastings, S. P.; Troy, W. C. 5 1989 The uniqueness and stability of the rest state for strongly coupled oscillators. Zbl 0701.35019Ermentrout, G. Bard; Troy, William C. 2 1989 Oscillating solutions of the Falkner-Skan for positive \(\beta\). Zbl 0703.34044Hastings, S. P.; Troy, W. C. 10 1988 Existence of solutions of the similarity equations for floating rectangular cavities and disks. Zbl 0657.76032Lu, Chunqing; Kazarinoff, Nicholas D.; McLeod, J. Bryce; Troy, William C. 4 1988 On nonexistence of similarity solutions. Zbl 0673.35045Peletier, L. A.; Troy, W. C. 3 1988 The behavior of solutions of a nonlinear boundary layer equation. Zbl 0652.76015Lu, Chunqing; Troy, William C. 2 1988 Uniqueness of flow of a second-order fluid past a stretching sheet. Zbl 0613.76006Troy, William C.; Overman, Edward A. II; Ermentrout, G. B.; Keener, James P. 43 1987 The existence of bounded solutions of a semilinear heat equation. Zbl 0655.35039Troy, William C. 22 1987 Nonexistence for the Kassoy problem. Zbl 0645.34008Bebernes, J.; Troy, W. 12 1987 Existence of logarithmic-type solutions to the Kapila-Kassoy problem in dimensions 3 through 9. Zbl 0648.34018Eberly, D.; Troy, W. C. 11 1987 Oscillating solutions of the Falkner-Skan equation for negative \(\beta\). Zbl 0621.76033Hastings, S. P.; Troy, W. C. 5 1987 An existence theorem for the flow of a non-Newtonian fluid past an infinite porous plate. Zbl 0599.76013Rajagopal, K. R.; Szeri, A. Z.; Troy, W. 45 1986 A note on non-universal deformations of nonlinear elastic layers. Zbl 0613.73036Rajagopal, K. R.; Troy, W. C.; Wineman, A. S. 4 1986 Phaselocking in a reaction-diffusion system with a linear frequency gradient. Zbl 0606.92012Ermentrout, G. B.; Troy, W. C. 4 1986 Oscillatory solutions of the Falkner-Skan equation. Zbl 0586.76049Hastings, S. P.; Troy, W. 4 1985 Stationary wave solutions of a system of reaction-diffusion equations derived from the FitzHugh-Nagumo equations. Zbl 0543.35051Klaasen, Gene A.; Troy, William C. 17 1984 Large amplitude stationary waves in an excitable lateral-inhibitory medium. Zbl 0561.92001Ermentrout, G. B.; Hastings, S. P.; Troy, W. C. 9 1984 A one-variable map analysis of bursting in the Belousov-Zhabotinskii reaction. Zbl 0514.34033Rinzel, John; Troy, William C. 6 1983 Symmetry properties in systems of semilinear elliptic equations. Zbl 0486.35032Troy, William C. 116 1981 The stability of traveling wave front solutions of a reaction-diffusion system. Zbl 0467.35011Klaasen, Gene A.; Troy, William C. 9 1981 The asymptotic behavior of solutions of a system of reaction-diffusion equations which models the Belousov-Zhabotinskii chemical reaction. Zbl 0467.35015Klaasen, Gene A.; Troy, William C. 7 1981 The existence of traveling wave front solutions of a model of the Belousov-Zhabotinskii chemical reaction. Zbl 0429.34025Troy, William C. 22 1980 The existence of solitary traveling wave solutions of a model of the Belousov-Zhabotinskii reaction. Zbl 0449.35091Field, Richard J.; Troy, William C. 4 1979 Non-monotonic solutions of the Falkner-Skan boundary layer equation. Zbl 0423.76028Troy, William C. 4 1979 The bifurcation of periodic solutions in the Hodgkin-Huxley equations. Zbl 0403.35090Troy, William C. 10 1978 Oscillations in a third order differential equation modeling a nuclear reactor. Zbl 0349.34030Troy, William C. 3 1977 A threshold phenomenon in the Field-Noyes model of the Belousov- Zhabotinskii reaction. Zbl 0381.92004Troy, William C. 1 1977 Bifurcation phenomena in FitzHugh’s nerve conduction equations. Zbl 0329.92001Troy, William C. 14 1976 Oscillation phenomena in the Hodgkin-Huxley equations. Zbl 0373.34019Troy, William C. 8 1976 all cited Publications top 5 cited Publications all top 5 Cited by 1,239 Authors 28 Hayat, Tasawar 28 Troy, William C. 16 Peletier, Lambertus Adrianus 14 Wei, Juncheng 13 Momoniat, Ebrahim 12 Galaktionov, Victor Aleksandrovich 10 Vajravelu, Kuppalapalle 10 Wyller, John A. 9 Dancer, Edward Norman 9 Laing, Carlo R. 8 Ariel, P. Donald 8 Kilpatrick, Zachary P. 8 Llibre, Jaume 8 Massoudi, Mehrdad 8 Tersian, Stepan Agop 7 Asghar, Saleem 7 Hastings, Stuart P. 6 Bonheure, Denis 6 Coombes, Stephen 6 da Silva, Severino Horácio 6 Gazzola, Filippo 6 Ponosov, Arcady V. 6 Rajagopal, Kumbakonam Ramamani 6 Saanouni, Tarek 6 van den Berg, Jan Bouwe 6 Weth, Tobias 5 Abelman, Shirley 5 Agarwal, Ravi P. 5 Budd, Christopher John 5 Chen, Chaonien 5 Deng, Shengfu 5 Faye, Grégory 5 Feng, Yuqiang 5 Guo, Zongming 5 Mahomed, Fazal M. 5 McLeod, John Bryce 5 Oleynik, Anna 5 Pakdemirli, Mehmet 5 Poláčik, Peter 5 Qi, Yuanwei 5 Rottschäfer, Vivi 5 Sajid, Muhammad 5 Shi, Junping 5 Wang, Jiang 5 Wang, Mingxin 5 Winter, Matthias 4 Abel, M. Subhas 4 Ai, Shangbing 4 Bartuccelli, Michele V. 4 Bhowmik, Samir Kumar 4 Bolley, Catherine 4 Bressloff, Paul C. 4 Chaparova, Julia V. 4 Doelman, Arjen 4 Einevoll, Gaute T. 4 Ermentrout, Bard G. 4 Hai, Dang Dinh 4 Helffer, Bernard 4 Hutt, Axel 4 Khalique, Chaudry Masood 4 Moreira dos Santos, Ederson 4 Nandeppanavar, Mahantesh M. 4 Paullet, Joseph Edward 4 Touboul, Jonathan 4 Tsai, Je-Chiang 4 Valls Anglés, Cláudia 4 Wang, Zhi-Qiang 4 Yan, Shusen 4 Yurusoy, Muhammet 4 Zhang, Chengxiang 4 Zhou, Jun 3 Ali, Nasir 3 Álvarez-Caudevilla, Pablo 3 Bhakta, Mousomi 3 Bramburger, Jason J. 3 Champneys, Alan R. 3 Chen, Xinfu 3 Chossat, Pascal 3 Collot, Charles 3 Cortázar, Carmen 3 Danumjaya, Palla 3 Eberly, David H. 3 Faugeras, Olivier Paul 3 Fei, Xiangyang 3 García-Huidobro, Marta 3 Guo, Jong-Shenq 3 Han, Pigong 3 Iaia, Joseph A. 3 Jia, Yunfeng 3 Kaper, Tasso J. 3 Kühn, Christian 3 Lacey, Andrew A. 3 Leonov, Gennadiĭ Alekseevich 3 Lessard, Jean-Philippe 3 Li, Kaitai 3 Li, Wan-Tong 3 Lin, Taichia 3 Luo, Hong 3 Marcus, Moshe M. 3 Merle, Frank ...and 1,139 more Authors all top 5 Cited in 203 Serials 78 Journal of Differential Equations 57 Journal of Mathematical Analysis and Applications 56 Physica D 42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Nonlinear Analysis. Real World Applications 23 Applied Mathematics and Computation 20 Applied Mathematics Letters 19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 18 Computers & Mathematics with Applications 15 Archive for Rational Mechanics and Analysis 15 Journal of Mathematical Biology 14 Discrete and Continuous Dynamical Systems 12 Rocky Mountain Journal of Mathematics 12 Communications in Nonlinear Science and Numerical Simulation 11 Applicable Analysis 11 Journal of Computational and Applied Mathematics 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 11 Journal of Dynamics and Differential Equations 11 Calculus of Variations and Partial Differential Equations 10 Chaos, Solitons and Fractals 10 Abstract and Applied Analysis 10 Nonlinear Analysis. Theory, Methods & Applications 9 Biological Cybernetics 9 Transactions of the American Mathematical Society 9 Nonlinear Dynamics 8 International Journal of Engineering Science 8 Mathematical Methods in the Applied Sciences 8 Communications in Partial Differential Equations 8 The Journal of Mathematical Neuroscience 7 Acta Mechanica 7 Proceedings of the American Mathematical Society 7 Quarterly of Applied Mathematics 7 Journal of Computational Neuroscience 6 Journal of Functional Analysis 6 European Journal of Applied Mathematics 6 Differential Equations and Dynamical Systems 6 Chaos 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Communications on Pure and Applied Analysis 6 SIAM Journal on Applied Dynamical Systems 5 Communications in Mathematical Physics 5 Journal of Engineering Mathematics 5 Nonlinearity 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Mathematische Annalen 5 Studies in Applied Mathematics 5 Applied Mathematics and Mechanics. (English Edition) 5 Discrete and Continuous Dynamical Systems. Series B 4 International Journal for Numerical Methods in Fluids 4 Physics Letters. A 4 Applied Numerical Mathematics 4 Mathematical and Computer Modelling 4 Neural Computation 4 Japan Journal of Industrial and Applied Mathematics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of Nonlinear Science 4 Boundary Value Problems 3 Journal of Mathematical Physics 3 Journal of Statistical Physics 3 Mathematical Biosciences 3 Bulletin of Mathematical Biology 3 Chinese Annals of Mathematics. Series B 3 Neural Networks 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 SIAM Journal on Applied Mathematics 3 Continuum Mechanics and Thermodynamics 3 Applied Mathematics. Series B (English Edition) 3 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of the European Mathematical Society (JEMS) 3 Journal of Applied Mathematics and Computing 3 Science China. Mathematics 3 Afrika Matematika 3 International Journal of Applied and Computational Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal of Heat and Mass Transfer 2 Indian Journal of Pure & Applied Mathematics 2 Ukrainian Mathematical Journal 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Archiv der Mathematik 2 Meccanica 2 Ricerche di Matematica 2 Acta Mathematicae Applicatae Sinica. English Series 2 Japan Journal of Applied Mathematics 2 Numerical Methods for Partial Differential Equations 2 Dynamics and Stability of Systems 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 International Journal of Computer Mathematics 2 Journal of Elasticity 2 SIAM Journal on Mathematical Analysis 2 Bulletin of the American Mathematical Society. New Series 2 Topological Methods in Nonlinear Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Journal of Difference Equations and Applications 2 Mathematical Problems in Engineering 2 Acta Mathematica Sinica. English Series 2 Communications in Contemporary Mathematics 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Journal of Applied Mathematics ...and 103 more Serials all top 5 Cited in 39 Fields 480 Partial differential equations (35-XX) 279 Ordinary differential equations (34-XX) 165 Biology and other natural sciences (92-XX) 132 Fluid mechanics (76-XX) 107 Dynamical systems and ergodic theory (37-XX) 76 Numerical analysis (65-XX) 46 Operator theory (47-XX) 43 Integral equations (45-XX) 36 Classical thermodynamics, heat transfer (80-XX) 33 Mechanics of deformable solids (74-XX) 32 Global analysis, analysis on manifolds (58-XX) 27 Statistical mechanics, structure of matter (82-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 13 Systems theory; control (93-XX) 11 Functional analysis (46-XX) 11 Probability theory and stochastic processes (60-XX) 11 Quantum theory (81-XX) 10 Optics, electromagnetic theory (78-XX) 8 Mechanics of particles and systems (70-XX) 5 Real functions (26-XX) 5 Difference and functional equations (39-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Potential theory (31-XX) 4 Computer science (68-XX) 3 Differential geometry (53-XX) 3 Relativity and gravitational theory (83-XX) 3 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year