##
**Sixty years of professor František Neuman.**
*(English)*
Zbl 0930.01023

### MSC:

01A70 | Biographies, obituaries, personalia, bibliographies |

01A65 | Development of contemporary mathematics |

### Biographic References:

Neuman, František### References:

[1] | U. Elias: Oscillation Theory of Two-Term Linear Differential Equations. Kluwer Academic Publishers, Dordrecht, 1996. |

[2] | Functional Equations. SNTL, Praha, 1986, pp. 104. · Zbl 0922.34047 |

[3] | Global Properties of Linear Ordinary Differential Equations. Mathematics and Its Applications, East European Series 52, Kluwer Academic Publishers (with Academia Praha), Dordrecht, 1991, pp. 334. · Zbl 0784.34009 |

[4] | Sur les équations différentielles linéaires du second ordre dont les solutions ont des racines formant une suite convexe. Acta Math. Acad. Sci. Hungar. 13 (1962), 281-287. · Zbl 0117.30303 |

[5] | On a certain ordering of the vertices of a tree. Časopis Pěst. Mat. 89 (1964), 323-339. · Zbl 0131.20901 |

[6] | Sur les équations différentielles linéaires oscillatoires du deuxième ordre avec la dispersion fondamentale \(\phi (t) = t + \pi \). Bull. Polyt. Inst. Jassy 10 (14) (1964), 37-42. · Zbl 0151.12202 |

[7] | (with M. Sekanina) Equivalent systems of sets and homeomorphic topologies. Czechoslovak Math. J. 15 (1965), 323-328. · Zbl 0139.40103 |

[8] | Construction of second-order linear differential equations with solutions of prescribed properties. Arch. Math. (Brno) 1 (1965), 229-246. · Zbl 0199.13802 |

[9] | On ordering vertices of infinite trees. Časopis Pěst. Mat. 91 (1966), 170-177. · Zbl 0136.44801 |

[10] | Note on the second phase of the differential equation \( y^{\prime \prime } = q(t)y\). Arch. Math. (Brno) 2 (1966), 56-62. · Zbl 0217.40201 |

[11] | Criterion of periodicity of solutions of a certain differential equation with a periodic coefficient. Ann. Mat. Pura Appl. 75 (1967), 385-396. · Zbl 0148.07104 |

[12] | Extremal property of the equation \(y^{\prime \prime } = k^2 y\). Arch. Math. (Brno) 3 (1967), 161-164. · Zbl 0217.40202 |

[13] | Relation between the distribution of the zeros of the solutions of a 2nd order linear differential equation and the boundedness of these solutions. Acta Math. Acad. Sci. Hungar. 19 (1968), 1-6. · Zbl 0162.12304 |

[14] | Centroaffine invariants of plane curves in connection with the theory of the secondorder linear differential equations. Arch. Math. (Brno) 4 (1968), 201-216. · Zbl 0218.34007 |

[15] | Note on a bounded non-periodic solutions of the second-order linear differential equations with periodic coefficients. Math. Nachrichten 39 (1969), 217-222. · Zbl 0169.41703 |

[16] | On bounded solutions of a certain differential equation. Proceedings of the Conference on Differential Equations and Their Applications Equadiff 2 Bratislava 1966. Acta Fac. Rerum Natur. Univ. Comenian. Math. 17 (1969), 213-215. |

[17] | On the coexistence of periodic solutions. J. Differential Equations 8 (1970), 277-282. · Zbl 0208.10903 |

[18] | An explicit form of the differential equation \(y^{\prime \prime } = q(t)y\) with periodic solutions. Ann. Mat. Pura Appl. 85 (1970), 295-300. · Zbl 0201.10603 |

[19] | On the Liouville transformation. Rend. Mat. 3 (1970), 133-140. · Zbl 0241.34005 |

[20] | A note on differential equations with periodic solutions. Arch. Math. (Brno) 6 (1970), 189-192. · Zbl 0241.34028 |

[21] | Construction of differential equations with coexisting periodic solutions. Bull. Polyt. Inst. Jassy 14 (20) (1970), 67-75. · Zbl 0267.34039 |

[22] | Note on Kummer’s transformation. Arch. Math. (Brno) 6 (1970), 185-188. · Zbl 0241.34006 |

[23] | Closed plane curves and differential equations. Rend. Mat. 3 (1970), 423-433. · Zbl 0235.53003 |

[24] | Periodic curvatures and closed curves. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 48 (1970), 494-498. · Zbl 0201.23703 |

[25] | Some results concerning Abel’s equation in the theory of differential equations and consequences for the affine geometry of closed plane curves. Aequationes Math. 4 (1970), 282-284. |

[26] | (with F. M. Arscott and M. Greguš) Three-point boundary value problems in differential equations. J. London Math. Soc. (2) 3 (1971), 429-436. |

[27] | A role of Abel’s equation in the stability theory of differential equations. Aequationes Math. 6 (1971), 66-70. · Zbl 0215.43803 |

[28] | \(L^2\)-solutions of \(y^{\prime \prime } = q(t)y\) and a functional equation. Aequationes Math. 6 (1971), 162-169. · Zbl 0389.41013 |

[29] | Linear differential equations of the second order and their applications. Rend. Mat. 4 (1971), 559-617. · Zbl 0227.34005 |

[30] | Some results on geometrical approach to linear differential equations of the \(n\)-th order. Comment. Math. Univ. Carolin. 12 (1971), 307-315. · Zbl 0217.12001 |

[31] | A note on Santaló’s isoperimetric theorem. Revista Mat. Fis. Teor. Tucuman 21 (1971), 203-206. · Zbl 0278.52004 |

[32] | Geometrical approach to linear differential equations of the \(n\)-th order. Rend. Mat. 5 (1972), 579-602. · Zbl 0257.34029 |

[33] | Oscillation in linear differential equations. Proceedings of the Conference Equadiff 3, J. E. Purkyně University, Brno, 1972, pp. 119-125. |

[34] | Distribution of zeros of solutions of \(y^{\prime \prime }=q(t) y\) in relation to their behaviour in large. Studia Sci. Math. Hungar. 8 (1973), 177-185. · Zbl 0286.34050 |

[35] | On \(n\)-dimensional closed curves and periodic solutions of linear differential equations of the \(n\)-th order. Demonstratio Mat. 6 (1973), 329-337. · Zbl 0286.34063 |

[36] | On a problem of transformations between limit-circle and limit-point differential equations. Proc. Roy. Soc. Edinburgh Sect. A 72 (1973/74), 187-193. |

[37] | On two problems about oscillation of linear differential equations of the third order. J. Differential Equations 15 (1974), 589-596. · Zbl 0287.34029 |

[38] | Global transformation of linear differential equations of the \(n\)-th order. Knižnice odb. a věd. spisů VUT Brno B-56 (1975), 165-171. |

[39] | On solutions of the vector functional equation \(y(\xi (x))=f(x)\cdot A \cdot y(x)\). Aequationes Math. 16 (1977), 245-257. · Zbl 0375.34013 |

[40] | (with J. Vosmanský) On functions (sequences) the derivatives (differences) of which are of constant sign. Doklady Ak. Nauk Azer. SSR 34 (1978), 8-12. |

[41] | (with S. Staněk) On the structure of second-order periodic differential equations with given characteristic multipliers. Arch. Math. (Brno) 13 (1977), 149-157. |

[42] | Linear differential equations with periodic coefficients in the critical case. An. Sti. Univ. Al. I. Cuza Jassy Sect. I a Mat. 23 (1977), 325-328. · Zbl 0373.34020 |

[43] | Categorial approach to global transformations of the \(n\)-th order linear differential equations. Časopis Pěst. Mat. 1977 102, 350-355. · Zbl 0374.34028 |

[44] | Limit circle classification and boundnedness of solutions. Proc. Roy. Soc. Edinburgh 81 A (1978), 31-34. |

[45] | Global properties of the \(n\)-th order linear differential equations. Proceedings of Equadiff 4 Praha 1977, Lecture Notes in Mathematics 703, Springer, Berlin, 1979, pp. 309-319. |

[46] | Invariants of third order linear differential equations and Cartan’s moving frame method. Differencial’nyje Uravnenija 14 (1979), 398-404. |

[47] | A generalization of Floquet theory. Acta Math. Univ. Comenian. 39 (1980), 53-59. · Zbl 0517.34035 |

[48] | Transformations of linear differential equations of the \(n\)-th order. Sborník 6. vědecké konference Vysoké školy dopravní v Žilině Sept. 1979, VŠD Žilina, 1979, pp. 11-19. |

[49] | On transformations of differential equations and systems with deviating argument. Czechoslovak Math. J. 31 (1981), 87-90. · Zbl 0463.34051 |

[50] | Global theory of linear differential equations of the \(n\)-th order. Proceedings of the Colloquium on Qualitative Theory of Differential Equations Szeged-Hungary August 1979, Ser. Coll. Math. Soc. J. Bolyai, North-Holland Publ. Co., 1981, pp. 777-793. · Zbl 0484.34022 |

[51] | Second order linear differential systems. Ann. Sci. École Norm. Super. (Paris) 13 (1980), 437-449. · Zbl 0453.34006 |

[52] | Functions of two variables and matrices involving factorizations. C. R. Math. Rep. Acad. Sci. Canada 3 (1981), 7-11. · Zbl 0449.15009 |

[53] | Factorizations of matrices and functions of two variables. Czechoslovak Math. J. 32 (1982), 582-588. · Zbl 0517.15012 |

[54] | Functions of the form \(_{i=1}^N f_i (x)g_i(t)\) in \(L_2\). Arch. Math. (Brno) 18 (1982), 19-22. |

[55] | Simultaneous solutions of a system of Abel equations and differential equations with several deviations. Czechoslovak Math. J. 32 (1982), 488-494. · Zbl 0524.34070 |

[56] | Global canonical forms of linear differential equations. Math. Slovaca 33 (1983), 389-394. · Zbl 0527.34036 |

[57] | Linear differential equations-global theory. Proceedings of Equadiff 5 Bratislava 1981, Teubner-Texte zur Mathematik, Leipzig, 1982, pp. 272-275. · Zbl 0519.34004 |

[58] | Theory of global properties of ordinary differential equations of the \(n\)-th order. Differencial’nyje Uravnenija 19 (1983), 799-808. |

[59] | A survey of global properties of linear differential equations of the \(n\)-th order. Proceedings of the Conference on Ordinary and Partial Differential Equations, Dundee 1982, Lecture Notes in Mathematics 964, Springer, Berlin, pp. 548-563. · Zbl 0501.34003 |

[60] | (with W. N. Everitt) A concept of adjointness and symmetry of differential expressions based on the generalized Lagrange identity and Green’s formula. Proceedings: Ordinary Differential Equations and Operators, Dundee 1982, Lecture Notes in Mathematics 1032, Springer, Berlin, pp. 161-169. |

[61] | From local to global investigations of linear differential equations of the \(n\)-th order. Jahrbuch Überblicke Mathematik 1984, 55-80. · Zbl 0548.34009 |

[62] | Criterion of global equivalence of linear differential equations. Proc. Roy. Soc. Edinburgh 97 A (1984), 217-221. · Zbl 0552.34009 |

[63] | Stationary groups of linear differential equations. Czechoslovak Math. J. 34 (1984), 645-663. · Zbl 0573.34028 |

[64] | A vector functional equation and linear differential equations. Aequationes Math. 29 (1985), 19-23. · Zbl 0593.39006 |

[65] | A note on smoothness of the Stäckel transformation. Prace Mat. WSP (Kraków) 11 (1985), 147-151. |

[66] | Covariant constructions in the theory of linear differential equations. Časopis Pěst. Mat. 111 (1986)), 201-207. · Zbl 0597.34005 |

[67] | Global theory of ordinary linear homogeneous differential equations in the real domain I, II. Aequationes Math. 33 (1987), 123-149. · Zbl 0643.34011 |

[68] | Solution to the Problem No. 10 of N. Kamran. Proceedings of the 23rd Intern. Symp. on Functional Equations Gargnano-Italy 1985, Univ. of Waterloo, Ont. Canada, pp. 60-62. |

[69] | Ordinary linear differential equations-a survey of the global theory. Proceedings of Equadiff 6 Brno 1986, Lecture Notes in Mathematics 1192, Springer, Berlin, pp. 59-70. · Zbl 0633.34008 |

[70] | Oscillatory behavior of iterative linear ordinary differential equations depends on their order. Arch. Math. (Brno) 22 (1986), 187-192. · Zbl 0608.34036 |

[71] | On iteration groups of certain functions. Arch. Math. (Brno) 25 (1989), 185-194. · Zbl 0721.39002 |

[72] | Another proof of Borůvka’s criterion on global equivalence of the second order ordinary linear differential equations. Časopis Pěst. Mat. 115 (1990), 73-80. · Zbl 0714.34055 |

[73] | Smoothness as an invariant property of coefficients of linear differential equations. Czechoslovak Math. J. 39 (1989), 513-521. · Zbl 0702.34034 |

[74] | On a canonical parametrization of continuous functions. Opuscula Math. (Kraków) 1335 (1990)), 185-191. · Zbl 0779.39002 |

[75] | On Halphen and Laguerre-Forsyth canonical forms of linear differential equations. Arch. Math. (Brno) 26 (1990), 147-154. · Zbl 0729.34008 |

[76] | Transformations and canonical forms of functional-differential equations. Proc. Roy. Soc. Edinburgh 115 A (1990), 349-357. · Zbl 0714.34108 |

[77] | Finite sums of products of functions in single variables. Linear Algebra Appl. 134 (1990), 153-164. · Zbl 0714.26007 |

[78] | (with Th. M. Rassias) Functions decomposable into finite sums of products. Constantin Carathéodory-An International Tribute, Vol. II, World Scientific Publ. Co., Singapore, 1991, pp. 956-963. · Zbl 0738.26003 |

[79] | Ordered groups commuting matrices and iterations of functions in transformations of differential equations. Constantin Carathéodory-An International Tribute, Vol. II, World Scientific Publ. Co., Singapore, 1991, pp. 942-955. · Zbl 0737.34023 |

[80] | (with Á. Elbert and J. Vosmanský) Principal pairs of solutions of linear second order oscillatory differential equations. Differential Integral Equations 5 (1992), 945-960. · Zbl 0755.34010 |

[81] | On transformation of quasilinear differential equations to canonical forms. Recent Trends in Ordinary Differential Equations Vol. I, World Scientific Series in Applicable Analysis World Sci., Singapore, 1992, pp. 457-461. · Zbl 0832.34026 |

[82] | On the \(n\)-th order iterative linear ordinary differential equations. Aequationes Math. 46 (1993), 38-43. · Zbl 0791.34012 |

[83] | (with Á. Elbert) Exceptional solutions of Hill equations. J. Differential Equations 116 (1995), 419-430. · Zbl 0816.34019 |

[84] | Limit behavior of ordinary linear differential equations. Proceedings of Georgian Academy of Sciences Mathematics 1 (1993), 355-364. · Zbl 0797.34008 |

[85] | (with M. Muldoon) Principal pairs for oscillatory second order linear differential equations. Dynamical Systems and Applications, World Scientific Series in Applicable Analysis World Sci. Vol. 4, Singapore, 1995, pp. 517-526. · Zbl 0842.34035 |

[86] | On equivalence of linear functional-differential equations. Results in Mathematics 26 (1994), 354-359. · Zbl 0829.34054 |

[87] | Nonextendable classes of linear differential equations. J. Nonlinear Anal. 25 (1995), 1045-1049. · Zbl 0843.34012 |

[88] | Solutions of Abel’s equation in relation to asymptotic behaviour of linear differential equations. Aequationes Math, Accepted. |

[89] | Transformation theory of linear ordinary differential equations-from local to global investigations. Archivum Math. (Brno) 33 (1997), 65-74. · Zbl 0914.34012 |

[90] | Dispersions for linear differential equations of arbitrary order. Archivum Math. (Brno) 33 (1997), 147-155. · Zbl 0914.34010 |

[91] | Asymptotic behaviour and zeros of solutions on \(n\)-th order linear differential equations. 8Submitted. |

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