List of publications

Transcription

1 List of publications Gerd Herzog [1] On universal functions and interpolation. Analysis 11 (1991), [2] On linear operators having supercyclic vectors. Studia Math. 103 (1992), [3] Über gewöhnliche Differentialgleichungen in Frécheträumen. Doctoral Thesis, Universiy of Karlsruhe [4] Ordinary differential equations in Fréchet spaces (with R. Lemmert). Proc. Third Int. Colloq. Diff. Eq., Plovdiv, Bulgaria (1992), [5] Über Endomorphismen mit dichten Bahnen (with R. Lemmert). Math. Z. 213 (1993), [6] On operators T such that f(t ) is hypercyclic (with Ch. Schmoeger). Studia Math. 108 (1994), [7] Remarks concerning Driver s equation (with R. Lemmert). Ann. Polon. Math. 59 (1994), [8] On infinite systems of linear boundary value problems (with R. Lemmert). WSSIAA 3 (1994), [9] On zero-free universal entire functions. Arch. Math. 63 (1994), [10] On a theorem of Seidel and Walsh. Period. Math. Hungar. 30 (1995), [11] On ordinary linear differential equations in C J. Demonstratio Math. 28 (1995), [12] On linear time-dependent row-finite systems of differential equations. Travaux Math. Sem. Math. Luxemb. 8 (1996), [13] On existence and uniqueness conditions for ordinary differential equations in Fréchet spaces. Stud. Sci. Math. Hungar. 23 (1996), [14] On a universality of the heat equation. Math. Nachr. 188 (1997), [15] An existence and uniqueness theorem for ordinary differential equations in ordered Banach spaces. Demonstratio Math. 30 (1997),

2 [16] One sided estimates for ordinary differential equations in Fréchet spaces. Ricerche Mat. 46 (1997), [17] On a Theorem of Mierczyński. Colloq. Math. 76 (1998), [18] On ordinary differential equations with quasimonotone increasing right hand side. Arch. Math. 70 (1998), [19] On quasipositive elements in ordered Banach algebras (with R. Lemmert). Stud. Math. 129 (1998), [20] On Lipschitz conditions for ordinary differential equations in Fréchet spaces. Czechoslovak Math. J. 48 (1998), [21] C 1 Solutions of x = f(x ) are convex or concave. Amer. Math. Month. 105 (1998), [22] A fixed point theorem for quasimonotone increasing mappings. Acta Sci. Math. 64 (1998), [23] One sided estimates for linear quasimonotone increasing operators. Numerical Funct. Anal. Opt. 19 (1998), [24] On universal subsets of Banach spaces (with R. Lemmert). Math. Z. 229 (1998), [25] On row finite systems of ordinary differential equations in Banach spaces. Demonstratio Math. 31 (1998) [26] Asymptotisches Verhalten der Maxima der Lösungen gewisser Differentialgleichungen (with R. M. Redheffer). Arch. Math. 72 (1999), [27] On one sided estimates for row finite systems of differential equations. Math. Bohemica 124 (1999), [28] Intermediate value theorems for quasimonotone increasing mappings (with R. Lemmert). Numerical Funct. Anal. Opt. 20 (1999), [29] An existence theorem for systems of boundary value problems (with R. Lemmert). Proc. Amer. Math. Soc. 128 (2000), [30] On quasimonotone increasing systems of ordinary differential equations. Portugaliae Math. 57 (2000), [31] On nonlinear summability. Amer. Math. Month. 107 (2000), [32] On the structure of the solution set of u = f(t, u), u(0) = u(1) = 0 (with R. Lemmert). Math. Nachr. 215 (2000), [33] A funnel section property for systems with quasimonotone increasing right hand side. Glasgow Math. J. 42 (2000),

3 [34] On ω limit sets of autonomous systems in infinite dimensional Banach spaces. Bull. Austr. Math. Soc. 61 (2000), [35] A note on discrete heat conduction (with R. Lemmert). Arch. Math. 75 (2000), [36] Nonlinear fundamental systems for linear differential equations in Fréchet spaces (with R. Lemmert). Demonstratio Math. 33 (2000), [37] On ordered spaces of polynomials (with R. Lemmert). Linear Algebra Appl. 320 (2000), [38] Polynomials solving Dirichlet boundary value problems. Amer. Math. Month. 107 (2000), [39] On maximal and minimal solutions for x (t) = f(t, x(t), x(h(t))), x(0) = x 0 (with R. Lemmert). Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 40 (2000), [40] Differential inequalities (with R. Lemmert). Seminar LV, No. 8, 10 pp., DOI: /IR/42001 [41] On quasimonotone increasing homeomorphisms. Arch. Math. 76 (2001), [42] Stability for families of positive semigroups and partial differential equations via one sided estimates (with P. Ch. Kunstmann). Demonstratio Math. 34 (2001), [43] On ω-limit sets in codimension two subspaces. Acta Sci. Math. 67 (2001), [44] Quasimonotonicity. Proc. Third WCNA (2000), Nonlinear Analysis 47 (2001), [45] On positive solutions of linear second order equations in Banach spaces. Demonstratio Math. 34 (2001), [46] Second order differential inequalities in Banach spaces (with R. Lemmert). Ann. Polon. Math. 77 (2001), [47] Differential-functional inequalities for bounded vector valued functions. Z. Anal. Anwend. 20 (2001), [48] Bernstein functions and parabolic equations in BUC(IR n, IR) (with R. Lemmert). Hiroshima Math. J. 31 (2001), [49] Universal perturbations of linear differential equations. Proc. Amer. Math. Soc. 130 (2002),

4 [50] Universal elements for families of discontinuous mappings (with R. Lemmert). Demonstratio Math. 35 (2002), [51] Lagrange interpolation for the disk algebra: The worst case. J. Approximation Theory 115 (2002), [52] On Riccati equations in ordered Banach algebras (with R. Lemmert). Demonstratio Math. 35 (2002), [53] Second order differential-functional inequalities for bounded functions. Positivity 7 (2003), [54] Monotonicity of the inverse of weakly elliptic differential operators (with R. Lemmert). Arch. Math. 80 (2003), [55] Generalized M-matrices and ordered Banach algebras. Linear Algebra Appl. 363 (2003), [56] A note on a Theorem of Raubenheimer and Rode (with Ch. Schmoeger). Proc. Amer. Math. Soc. 131 (2003), [57] Second-order elliptic differential inequalities in Banach spaces (with R. Lemmert). Nonlinear Anal., Theory Methods Appl. 53 (2003), [58] One-sided estimates for quasimonotone increasing functions (with R. Lemmert). Bull. Austral. Math. Soc. 67 (2003), [59] On quasimonotone homeomorphisms in ordered Banach spaces. Demonstratio Math. 36 (2003), [60] Positive solutions of systems of boundary value problems (with R. Lemmert). Extracta Math. 18 (2003), [61] Semicontinuous solutions of systems of functional equations. Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 43 (2003) [62] The Dirichlet problem for quasimonotone systems of second order equations. Rocky Mountain J. Math. 34 (2004), [63] Nonautonomous SEIRS and Thron models for epidemiology and cell biology (with R. Redheffer). Nonlinear Anal., Real World Appl. 5 (2004), [64] On a theorem of Vesentini (with Ch. Schmoeger). Studia Math. 162 (2004), [65] One-sided estimates for quasimonotone systems of boundary value problems. Demonstratio Math. 37 (2004),

5 [66] A characterization of quasimonotone increasing functions. Seminar LV, No. 19, 4 pp., DOI: /IR/ [67] Universal fundamental systems in ordered Banach spaces. Arch. Math. 83 (2004), [68] Weak growth conditions for ODEs in pre-ordered Banach spaces (with R. Lemmert). Math. Ann. 331 (2005), [69] Enclosing solutions of second order equations (with R. Lemmert). Ann. Polon. Math. 85 (2005), [70] On BVPs in l (A) (with R. Lemmert). Extracta Math. 20 (2005), [71] On Green s Theorem (with R. Lemmert). Seminar LV, No. 21, 2 pp., DOI: /IR/ [72] Banach algebra homomorphisms via orthogonal projections (with Ch. Schmoeger). Demonstratio Math. 39 (2006), [73] A class of hypercyclic Volterra composition operators (with A. Weber). Demonstratio Math. 39 (2006), [74] On bounded solutions of second order systems. Demonstratio Math. 39 (2006), [75] On pointwise one-sided estimates for continuous functions (with R. Lemmert). Glasgow Math. J. 48 (2006), [76] Majorization of C 0 -semigroups in ordered Banach spaces (with P. Ch. Kunstmann). Comment. Math. Univ. Carolin. 47 (2006), [77] Universality of methods approximating the derivative (with R. Lemmert). Bull. Austral. Math. Soc. 73 (2006), [78] On the functional equation defined by Lie s product formula (with Ch. Schmoeger). Studia Math. 175 (2006), [79] Extreme points of certain subsets of hermitian elements in Banach algebras (zusammen mit Ch. Schmoeger). Turk. J. Math. 31 (2007), [80] Quasimonotone embedding of one-sided Lipschitz continuous functions. Math. Scand. 101 (2007), [81] Second order differential inequalities via aggregation. (with R. Lemmert). Demonstratio Math. 40 (2007), [82] An example on ordered Banach algebras (with Ch. Schmoeger). Proc. Amer. Math. Soc. 135 (2007),

6 [83] The Brauer-Ostrowski theorem for matrices of operators (with Ch. Schmoeger). Integral Equations Oper. Theory 57 (2007), [84] Application of the mean ergodic theorem to certain semigroups (with Ch. Schmoeger). Publ. Inst. Math. (Beograd) (N.S.) 83(97) (2008), [85] Comparison results for generalized Kolmogorov systems with respect to multiplicative semigroups (with R. Lemmert). Missouri J. Math. Sci. 20 (2008), [86] A note on convex dependence of solutions of IVPs relative to initial values (with R. Lemmert). Nonlinear Anal., Theory Methods Appl. 68 (2008), [87] A one-sided version of a theorem of Kantorovich (with R. Lemmert). Numerical Funct. Anal. Opt. 29 (2008), [88] Spectral radii of generalized inverses of simply polar matrices (with Ch. Schmoeger). Seminar LV, No. 29, 6 pp., DOI: /IR/ [89] Boundary value problems via an intermediate value theorem (with R. Lemmert). Glasgow Math. J. 50 (2008), [90] A note on Gateaux differentials of hermitian elements in Banach algebras (with Ch. Schmoeger). Demonstratio Math. 41 (2008), [91] On Hölder continuous universal primitives (with R. Lemmert). Bull. Korean Math. Soc. 46 (2009), [92] A universal property of C 0 -semigroups (with Ch. Schmoeger). Comment. Math. Univ. Carolin. 50 (2009), [93] An intermediate value theorem in ordered Banach spaces. Ann. Polon. Math. 98 (2010), [94] On coupled first and second order boundary value problems in ordered Banach spaces (with R. Lemmert). Demonstratio Math. 43 (2010), [95] Boundary value problems for linear operators in ordered Banach spaces (with Ch. Schmoeger). Studia Math. 198 (2010), [96] A note on Kantorovich s majorant method. Numerical Funct. Anal. Opt. 31 (2010), [97] Suprema of chains of operators (with Ch. Schmoeger). Positivity 15 (2011), [98] Symmetry of solutions for quasimonotone second-order elliptic systems in ordered Banach spaces (with W. Reichel). Math. Ann. 352 (2012),

7 [99] A fixed point theorem for decreasing functions (with P. Ch. Kunstmann). Numerical Funct. Anal. Opt. 34 (2013), [100] A local Landau type inequality for semigroup orbits (with P. Ch. Kunstmann). Studia Math. 223 (2014), [101] A proof of Lie s product formula. Amer. Math. Month. 121 (2014), [102] Inequalities and means from a cyclic differential equation (with P. Ch. Kunstmann). Demonstratio Math. 47 (2014), [103] Kuratowski s measure of noncompactness with respect to Thompson s metric (with P. Ch. Kunstmann). Z. Anal. Anwend. 33 (2014), [104] Global asymptotic stability for semilinear equations via Thompson s metric (with P. Ch. Kunstmann) Extracta Math. 29 (2014), [105] Multiplicative relaxation with respect to Thompson s metric. Rev. Colombiana Mat. 48 (2014), [106] Universally divergent Fourier series via Landau s extremal functions (with P. Ch. Kunstmann). Comment. Math. Univ. Carolin. 56 (2015), [107] Asymptotic estimates in Thompson s metric for semilinear parabolic equations (with P. Ch. Kunstmann). Nonlinear Anal., Theory Methods Appl. 131 (2016), [108] A fixed point theorem for monotone operators in ordered Banach spaces (with P. Volkmann). KITopen (2016), 6 pp. DOI: /IR/ [109] Two applications of a generalization of an asymptotic fixed point theorem (with P. Ch. Kunstmann). Order 34 (2017), [110] A note on vector translation with respect to Thompson s metric (with P. Ch. Kunstmann). Numerical Funct. Anal. Opt. 38 (2017),