Sixty years of professor František Neuman

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1. Oscillation Theory of Two-Term Linear Differential Equations, Kluwer Academic Publishers, Dordrecht, 1996. (1996) 
2. Functional Equations, SNTL, Praha, 1986, pp. 104. (Czech) (1986) Zbl0922.34047
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. (1991) Zbl0784.34009MR1192133
4. 10.1007/BF02020794, Acta Math. Acad. Sci. Hungar. 13 (1962), 281–287. (1962) Zbl0117.30303MR0148999DOI10.1007/BF02020794
5. On a certain ordering of the vertices of a tree, Časopis Pěst. Mat. 89 (1964), 323–339. (1964) Zbl0131.20901MR0181587
6. Sur les équations différentielles linéaires oscillatoires du deuxième ordre avec la dispersion fondamentale $\phi \left(t\right)=t+\pi$, Bull. Polyt. Inst. Jassy 10 (14) (1964), 37–42. (1964) MR0197825
7. (with M. Sekanina) Equivalent systems of sets and homeomorphic topologies, Czechoslovak Math. J. 15 (1965), 323–328. (1965) MR0179087
8. Construction of second-order linear differential equations with solutions of prescribed properties, Arch. Math. (Brno) 1 (1965), 229–246. (1965) Zbl0199.13802MR0199468
9. On ordering vertices of infinite trees, Časopis Pěst. Mat. 91 (1966), 170–177. (1966) Zbl0136.44801MR0200198
10. Note on the second phase of the differential equation $y^{\text{'}\text{'}}=q\left(t\right)y$, Arch. Math. (Brno) 2 (1966), 56–62. (1966) Zbl0217.40201MR0203127
11. 10.1007/BF02416811, Ann. Mat. Pura Appl. 75 (1967), 385–396. (1967) Zbl0148.07104MR0213652DOI10.1007/BF02416811
12. Extremal property of the equation $y^{\text{'}\text{'}}=k^{2}y$, Arch. Math. (Brno) 3 (1967), 161–164. (1967) Zbl0217.40202MR0236465
13. 10.1007/BF01894675, Acta Math. Acad. Sci. Hungar. 19 (1968), 1–6. (1968) Zbl0162.12304MR0228750DOI10.1007/BF01894675
14. Centroaffine invariants of plane curves in connection with the theory of the secondorder linear differential equations, Arch. Math. (Brno) 4 (1968), 201–216. (1968) MR0267512
15. 10.1002/mana.19690390403, Math. Nachrichten 39 (1969), 217–222. (1969) MR0247193DOI10.1002/mana.19690390403
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. (1969) 
17. 10.1016/0022-0396(70)90007-0, J. Differential Equations 8 (1970), 277–282. (1970) Zbl0208.10903MR0264168DOI10.1016/0022-0396(70)90007-0
18. 10.1007/BF02413540, Ann. Mat. Pura Appl. 85 (1970), 295–300. (1970) MR0262610DOI10.1007/BF02413540
19. On the Liouville transformation, Rend. Mat. 3 (1970), 133–140. (1970) Zbl0241.34005MR0273090
20. A note on differential equations with periodic solutions, Arch. Math. (Brno) 6 (1970), 189–192. (1970) Zbl0241.34028MR0320411
21. Construction of differential equations with coexisting periodic solutions, Bull. Polyt. Inst. Jassy 14 (20) (1970), 67–75. (1970) Zbl0267.34039MR0283305
22. Note on Kummer’s transformation, Arch. Math. (Brno) 6 (1970), 185–188. (1970) MR0294748
23. Closed plane curves and differential equations, Rend. Mat. 3 (1970), 423–433. (1970) Zbl0235.53003MR0275284
24. Periodic curvatures and closed curves, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 48 (1970), 494–498. (1970) Zbl0201.23703MR0298572
25. 10.1007/BF01817786, Aequationes Math. 4 (1970), 282–284. (1970) MR1553787DOI10.1007/BF01817786
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. (1971) MR0283282
27. 10.1007/BF01833239, Aequationes Math. 6 (1971), 66–70. (1971) Zbl0215.43803MR0299899DOI10.1007/BF01833239
28. 10.1007/BF01819748, Aequationes Math. 6 (1971), 162–169. (1971) Zbl0389.41013MR0291562DOI10.1007/BF01819748
29. Linear differential equations of the second order and their applications, Rend. Mat. 4 (1971), 559–617. (1971) Zbl0227.34005MR0311972
30. Some results on geometrical approach to linear differential equations of the $n$-th order, Comment. Math. Univ. Carolin. 12 (1971), 307–315. (1971) Zbl0217.12001MR0288337
31. A note on Santaló’s isoperimetric theorem, Revista Mat. Fis. Teor. Tucuman 21 (1971), 203–206. (1971) Zbl0278.52004MR0339033
32. Geometrical approach to linear differential equations of the $n$-th order, Rend. Mat. 5 (1972), 579–602. (1972) Zbl0257.34029MR0324141
33. Oscillation in linear differential equations, Proceedings of the Conference Equadiff 3, J. E. Purkyně University, Brno, 1972, pp. 119–125. (1972) MR0350114
34. Distribution of zeros of solutions of $y^{\text{'}\text{'}}=q\left(t\right)y$ in relation to their behaviour in large, Studia Sci. Math. Hungar. 8 (1973), 177–185. (1973) Zbl0286.34050MR0333344
35. On $n$-dimensional closed curves and periodic solutions of linear differential equations of the $n$-th order, Demonstratio Mat. 6 (1973), 329–337. (1973) Zbl0286.34063MR0364757
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. (1973/74) MR0385226
37. 10.1016/0022-0396(74)90075-8, J. Differential Equations 15 (1974), 589–596. (1974) MR0342769DOI10.1016/0022-0396(74)90075-8
38. Global transformation of linear differential equations of the $n$-th order, Knižnice odb. a věd. spisů VUT Brno B-56 (1975), 165–171. (1975) 
39. 10.1007/BF01836037, Aequationes Math. 16 (1977), 245–257. (1977) Zbl0375.34013MR0467061DOI10.1007/BF01836037
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. (Russian) (1978) 
41. (with S. Staněk) On the structure of second-order periodic differential equations with given characteristic multipliers, Arch. Math. (Brno) 13 (1977), 149–157. (1977) MR0460790
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. (1977) Zbl0373.34020MR0486816
43. Categorial approach to global transformations of the $n$-th order linear differential equations, Časopis Pěst. Mat. 1977 102, 350–355. Zbl0374.34028MR0477284
44. Limit circle classification and boundnedness of solutions, Proc. Roy. Soc. Edinburgh 81 A (1978), 31–34. (1978) MR0529374
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. (1979) MR0535351
46. Invariants of third order linear differential equations and Cartan’s moving frame method, Differencial’nyje Uravnenija 14 (1979), 398–404. (Russian) (1979) 
47. A generalization of Floquet theory, Acta Math. Univ. Comenian. 39 (1980), 53–59. (1980) Zbl0517.34035MR0619262
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. (Russian) (1979) 
49. On transformations of differential equations and systems with deviating argument, Czechoslovak Math. J. 31 (1981), 87–90. (1981) Zbl0463.34051MR0604115
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. (1981) Zbl0484.34022MR0680619
51. 10.24033/asens.1391, Ann. Sci. École Norm. Super. (Paris) 13 (1980), 437–449. (1980) Zbl0453.34006MR0608288DOI10.24033/asens.1391
52. Functions of two variables and matrices involving factorizations, C. R. Math. Rep. Acad. Sci. Canada 3 (1981), 7–11. (1981) Zbl0449.15009MR0608675
53. Factorizations of matrices and functions of two variables, Czechoslovak Math. J. 32 (1982), 582–588. (1982) Zbl0517.15012MR0682133
54. Functions of the form ${}_{i=1}^N{f}_i\left(x\right)g_i\left(t\right)$ in $L_2$, Arch. Math. (Brno) 18 (1982), 19–22. (1982) 
55. Simultaneous solutions of a system of Abel equations and differential equations with several deviations, Czechoslovak Math. J. 32 (1982), 488–494. (1982) Zbl0524.34070MR0669790
56. Global canonical forms of linear differential equations, Math. Slovaca 33 (1983), 389–394. (1983) Zbl0527.34036MR0720509
57. Linear differential equations—global theory, Proceedings of Equadiff 5 Bratislava 1981, Teubner-Texte zur Mathematik, Leipzig, 1982, pp. 272–275. (1982) Zbl0519.34004MR0715934
58. Theory of global properties of ordinary differential equations of the $n$-th order, Differencial’nyje Uravnenija 19 (1983), 799–808. (Russian) (1983) MR0703421
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. Zbl0501.34003MR0693139
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. MR0742639
61. From local to global investigations of linear differential equations of the $n$-th order, Jahrbuch Überblicke Mathematik 1984, 55–80. Zbl0548.34009
62. Criterion of global equivalence of linear differential equations, Proc. Roy. Soc. Edinburgh 97 A (1984), 217–221. (1984) Zbl0552.34009MR0751194
63. Stationary groups of linear differential equations, Czechoslovak Math. J. 34 (1984), 645–663. (1984) Zbl0573.34028MR0764446
64. A vector functional equation and linear differential equations, Aequationes Math. 29 (1985), 19–23. (1985) Zbl0593.39006MR0812301
65. A note on smoothness of the Stäckel transformation, Prace Mat. WSP (Kraków) 11 (1985), 147–151. (1985) 
66. Covariant constructions in the theory of linear differential equations, Časopis Pěst. Mat. 111 (1986)), 201–207. (1986)) Zbl0597.34005MR0847318
67. 10.1007/BF01836159, Aequationes Math. 33 (1987), 123–149. (1987) MR0911150DOI10.1007/BF01836159
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. Zbl0633.34008MR0877107
70. Oscillatory behavior of iterative linear ordinary differential equations depends on their order, Arch. Math. (Brno) 22 (1986), 187–192. (1986) Zbl0608.34036MR0868533
71. On iteration groups of certain functions, Arch. Math. (Brno) 25 (1989), 185–194. (1989) Zbl0721.39002MR1188063
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. (1990) Zbl0714.34055MR1044016
73. Smoothness as an invariant property of coefficients of linear differential equations, Czechoslovak Math. J. 39 (1989), 513–521. (1989) Zbl0702.34034MR1006317
74. On a canonical parametrization of continuous functions, Opuscula Math. (Kraków) 1335 (1990)), 185–191. (1990)) Zbl0779.39002MR1120254
75. On Halphen and Laguerre-Forsyth canonical forms of linear differential equations, Arch. Math. (Brno) 26 (1990), 147–154. (1990) Zbl0729.34008MR1188274
76. Transformations and canonical forms of functional-differential equations, Proc. Roy. Soc. Edinburgh 115 A (1990), 349–357. (1990) MR1069527
77. 10.1016/0024-3795(90)90014-4, Linear Algebra Appl. 134 (1990), 153–164. (1990) Zbl0714.26007MR1060018DOI10.1016/0024-3795(90)90014-4
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. (1991) 
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. (1991) Zbl0737.34023MR1130872
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. (1992) MR1167505
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. (1992) Zbl0832.34026MR1180130
82. 10.1007/BF01833996, Aequationes Math. 46 (1993), 38–43. (1993) MR1220720DOI10.1007/BF01833996
83. 10.1006/jdeq.1995.1041, J. Differential Equations 116 (1995), 419–430. (1995) MR1318581DOI10.1006/jdeq.1995.1041
84. Limit behavior of ordinary linear differential equations, Proceedings of Georgian Academy of Sciences Mathematics 1 (1993), 355–364. (1993) MR1262570
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. (1995) MR1372981
86. 10.1007/BF03323059, Results in Mathematics 26 (1994), 354–359. (1994) Zbl0829.34054MR1300618DOI10.1007/BF03323059
87. 10.1016/0362-546X(95)00098-G, J. Nonlinear Anal. 25 (1995), 1045–1049. (1995) Zbl0843.34012MR1350726DOI10.1016/0362-546X(95)00098-G
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. (1997) Zbl0914.34012MR1464302
90. Dispersions for linear differential equations of arbitrary order, Archivum Math. (Brno) 33 (1997), 147–155. (1997) Zbl0914.34010MR1464309
91. Asymptotic behaviour and zeros of solutions on $n$-th order linear differential equations, 8Submitted.