Article PDF
Avoid common mistakes on your manuscript.
References
Bjerklov K., Johnson R.A.: Minimal subsets of projective flows. Discrete Continuous Dyn. Syst. Ser. B 9, 495–516 (2008)
Colonius F., Johnson R.A.: Local and global null controllability of time varying linear control systems. ESAIM Control Optim. Calc. Var. 2, 329–341 (1997)
De Concini C., Johnson R.A.: The algebraic-geometric AKNS potentials. Ergod. Theory Dyn. Syst. 7, 1–24 (1987)
Ellis R., Johnson R.A.: Topological dynamics and linear differential systems. J. Differ. Equ. 44, 2139 (1982)
Fabbri R., Johnson R.A.: On the Lyapunov exponent of certain \({sl(2, {\mathbb R})}\) -valued cocycles. Differ. Equ. Dyn. Syst. 7, 349–370 (1999)
Fabbri R., Johnson R.A.: Genericity of exponential dichotomy for two-dimensional differential systems. Ann. Mat. Pura Appl. 178, 175–193 (2000)
Fabbri R., Johnson R.A., Kloeden P.E.: Digitization of nonautonomous control systems. J. Differ. Equ. 195, 210–229 (2003)
Fabbri R., Johnson R.A., Núnẽz C.: Rotation number for nonautonomous linear Hamiltonian systems I. Basic properties. Z. Angew. Math. Phys. 54, 484–502 (2003)
Fabbri R., Johnson R.A., Núnẽz C.: Rotation number for nonautonomous linear Hamiltonian systems II. The Floquet coefficients. Z. Angew. Math. Phys. 54, 652–676 (2003)
Fabbri R., Johnson R.A., Núnẽz C.: On the Yakubovich frequency theorem for linear non-autonomous control processes. Discrete Continuous Dyn. Syst. 9, 677–704 (2003)
Fabbri R., Impram S.T., Johnson R.A.: On a criterion of Yakubovich type for the absolute stability of nonautonomous control processes. Int. J. Math. Math. Sci. 16, 1027–1041 (2003)
Fabbri R., Jäger T., Johnson R.A., Keller G.: A Sharkovskii-type theorem for minimally forced interval maps. Topol. Methods Nonlinear Anal. 26, 163–188 (2005)
Fabbri R., Johnson R.A., Zampogni L.: On the Lyapunov exponent of certain \({{SL}(2, \mathbb{R})}\) -valued cocycles II. Differ. Equ. Dyn. Syst. 18, 135–161 (2010)
Fabbri R., Johnson R.A., Novo S., Núnẽz C.: Some remarks concerning weakly disconjugate linear Hamiltonian systems. J. Math. Anal. Appl. 380, 853–864 (2011)
Franca M., Johnson R.A.: Ground states and singular ground states for quasilinear partial differential equations with critical exponent in the perturbative case. Adv. Nonlinear Stud. 4, 93–120 (2004)
Giachetti R., Johnson R.A.: The Floquet exponent for two-dimensional linear systems with bounded coefficients. J. Math. Pures Appl. 65, 93–117 (1986)
Johnson R.A.: Representations of compact groups on topological vector spaces: some remarks. Proc. Am. Math. Soc. 61, 131–136 (1976)
Johnson R.A.: Disintegration of measures on compact transformation groups. Trans. Am. Math. Soc. 233, 249–264 (1977)
Johnson R.A.: The measure-theoretic structure group is not invariant. Illinois J. Math. 21, 178–184 (1977)
Johnson R.A.: Ergodic theory and linear differential equations. J. Differ. Equ. 28, 23–34 (1978)
Johnson R.A.: Existence of a strong lifting commuting with a compact group of transformations. Pac. J. Math. 76, 69–81 (1978)
Johnson R.A.: Concerning a theorem of Sell. J. Differ. Equ. 30, 324–339 (1978)
Johnson R.A.: Measurable subbundles in linear skew-product flows. Illinois J. Math. 23, 183–198 (1979)
Johnson R.A.: Analyticity of spectral subbundles. J. Differ. Equ. 35, 366–387 (1980)
Johnson R.A.: On a Floquet theory for almost periodic, two dimensional linear systems. J. Differ. Equ. 37, 184–205 (1980)
Johnson R.A.: Linear differential equations with interval spectrum. Proc. Am. Math. Sci. 80, 90–94 (1980)
Johnson R.A.: Bounded solutions of scalar, almost periodic linear equations. Illinois J. Math. 25, 632–643 (1981)
Johnson R.A.: Two-dimensional, almost periodic linear systems with proximal and recurrent behavior. Proc. Am. Math. Soc. 82, 417–422 (1981)
Johnson R.A.: A linear, almost periodic equation with an almost automorphic solution. Proc. Am. Math. Soc. 82, 199–205 (1981)
Johnson R.A.: On almost-periodic linear differential systems of Millionščikov and Vinograd. J. Math. Anal. Appl. 85, 452–460 (1982)
Johnson R.A.: The recurrent Hill’s equation. J. Differ. Equ. 46, 165–193 (1982)
Johnson R.A.: Lyapounov numbers for the almost periodic Schrödinger equation. Illinois J. Math. 28, 397–419 (1984)
Johnson, R.A.: An Example Concerning the Geometric Significance of the Rotation Number—Integrated Density of States, Lyapunov Exponents (Bremen, 1984). Lecture Notes in Mathematics, vol. 1186, pp. 216–226. Springer, Berlin (1986)
Johnson R.A.: m-functions and Floquet exponents for linear differential systems. Ann. Mat. Pura Appl. 147, 211–248 (1987)
Johnson R.A.: Hopf bifurcation from nonperiodic solutions of differential equations: I. Linear theory. J. Dyn. Differ. Equ. 1, 179–198 (1989)
Johnson R.A.: Cantor spectrum for the quasi-periodic Schrödinger equation. J. Differ. Equ. 91, 88–110 (1991)
Johnson R.A.: Oscillation theory and the density of states for the Schrödinger operator in odd dimension. J. Differ. Equ. 92, 145–162 (1991)
Johnson, R.A.: An application of topological dynamics to bifurcation theory. In: Topological dynamics and applications (Minneapolis, MN, 1995). Contemporary Mathematics, 215, pp. 323–334. American Mathematical Society, Providence (1998)
Johnson R.A., Kloeden P.E.: Nonautonomous attractors of skew-product flows with digitized driving systems. Electron J Differ. Equ. 58, 16 (2001)
Johnson R.A., Mantellini F.: A nonautonomous transcritical bifurcation problem with an application to quasi-periodic bubbles. Discrete Continuous Dyn. Syst. 9, 209–224 (2003)
Johnson R.A., Moser J.: The rotation number for almost periodic potentials. Commun. Math. Phys. 84, 403–438 (1982)
Johnson R.A., Munoz-Villarragut V.: Some questions concerning attractors for nonautonomous dynamical systems. Nonlinear Anal. TMA 71, 1858–1868 (2009)
Johnson R.A., Nerurkar M.: On null controllability of linear systems with recurrent coefficients and constrained control. J. Dyn. Differ. Equ. 4, 259–273 (1992)
Johnson R.A., Nerurkar M.: Exponential dichotomy and rotation number for linear Hamiltonian systems. J. Differ. Equ. 108, 01–216 (1994)
Johnson R.A., Nerurkar M.: Stabilization and linear regulator problem for random linear control process. J. Math. Anal. Appl. 197, 608–629 (1996)
Johnson, R.A., Nerurkar, M.: Controllability, stabilization and the regulator problem for random differential systems. Memoirs of the American Mathematical Society 136, no. 646 (1998)
Johnson R.A., Sell G.R.: Smoothness of spectral subbundles and reducibility of quasi-periodic linear differential systems. J. Differ. Equ. 41, 262–288 (1981)
Johnson R.A., Yi Y.: Hopf bifurcation from nonperiodic solutions of differential equations: II. J. Differ. Equ. 107, 310–340 (1994)
Johnson R.A., Zampogni L.: Description of the algebro-geometric Sturm-Liouville coefficients. J. Differ. Equ. 244, 716–740 (2008)
Johnson R.A., Zampogni L.: On the Camassa-Holm and K-dV hierarchies. J. Dyn. Differ. Equ. 22, 331–366 (2010)
Johnson R.A., Palmer K.J., Sell G.R.: Ergodic properties of linear dynamical systems. SIAM J. Math. Anal. 18, 1–33 (1987)
Johnson R.A., Pan X., Yi Y.: Singular ground states of semi-linear elliptic equations via invariant manifolds theory. Nonlinear Anal. TMA 20, 1279–1302 (1993)
Johnson R.A., Pan X., Yi Y.: Positive solutions of super-critical elliptic equations and asymptotics. Commun. Partial Differ. Equ. 18, 977–1019 (1993)
Johnson R.A., Pan X., Yi Y.: The Melnikov method and elliptic equations with critical exponent. Indiana Univ. Math. J. 43, 1045–1077 (1994)
Johnson, R.A., Pan, X., Yi, Y.: Singular solutions of elliptic equation Δu − u + u p = 0. Annali di Matematicá prera ed Applićata (IV) CLXVI, 203–225 (1994)
Johnson R.A., Nistri P., Kamenski M.: On periodic solutions of a damped wave equation in a thin domain using degree-theoretic methods. J. Differ. Equ. 140, 186–208 (1997)
Johnson R.A., Nistri P., Kamenski M.: Bifurcation of periodic solutions of the Navier-Stokes equations in a thin domain. Topol. Methods Nonlinear Anal. 13, 281–300 (1999)
Johnson R.A., Nistri P., Kamenski M.: On the existence of periodic solutions of the Navier-Stokes equations in a thin domain using the topological degree. J. Dyn. Differ. Equ. 12, 681–712 (2000)
Johnson R.A., Novo S., Obaya R.: Ergodic properties and Weyl MM-functions for random linear Hamiltonian systems. Proc. R. Soc. Edinb Sect. A 130, 1045–1079 (2000)
Johnson R.A., Novo S., Obaya R.: An ergodic and topological approach to disconjugate linear Hamiltonian systems. Illinois J. Math. 45, 803–822 (2001)
Johnson R.A., Kloeden P.E., Pavani R.: Two-step transition in nonautonomous bifurcations: an explanation. Stoch. Dyn. 2, 67–92 (2002)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sell, G.R., Yi, Y. A Biography of Russell A. Johnson. J Dyn Diff Equat 23, 397–404 (2011). https://doi.org/10.1007/s10884-011-9221-6
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10884-011-9221-6