4850 Theory of Ordinary Linear Differential Equations (Ord. 3 n) 4850 



3rd order. Goursat, E. C. E. 98 (1884) 609-. 



. Halphen, . Mth. A. 24 (1884) 461-. 



. Painleve; P. C. E. 104 (1887) 1829-. 



, case. Malmsten, C. J. Stockh. Ofv. 5 



(1848) 189-. 

 , class integrable by hypergeometric series. 



Besso, D. Em. E. Ac. Line. Mm. 19 (1884) 



251-. 

 , with coefficients doubly periodic functions. 



Krause, M. Leip. Mth. Ps. B. 45 (1893) 35-. 

 , with fixed critical points. Painleve, P. 



C. E. 130 (1900) 879-. 



t satisfied by automorphic functions. 

 Hunvitz, A. Mth. A. 33 (1889) 345-. 



and 4th orders. Campbell, D. F. QJ. Mth. 

 31 (1900) 161-. 



4th order. Halphen, G. H. C. E. 97 (1883) 



247-. 

 , class. Goursat, E. Par. S. Mth. Bll. 



11 (1883) 144-. 

 , , and equation of 5th degree. Besso, 



D. Em. E. Ac. Line. Ed. 1 (1885) 183-, 

 233-, 884. 



, integrable by hypergeometric series. 



Besso, D. Em. E. Ac. Line. Mm. 19 (1884) 



245-. 

 , determination of group of rationality. 



Marotte, F. C. E. 126 (1898) 715-. 



, integrable when particular integral is 

 known. Enriques, F. Mil. I. Lomb. Ed. 

 29 (1896) 257-. 



, invariants. Halphen, G. H. Acta Mth. 



3 (1883) 325-. 



, reduction, case. Goursat, E. C. E. 

 100 (1885) 233-. 



5th order, integral curves of which are contained 

 in algebraic configurations. Fano, G. Mil. 

 I. Lomb. Ed. 32 (1899) 843-. 



and 6th orders, integral curves of which are 

 contained in a quadric. Fano, G. Tor. Ac. 

 Sc. At. 34 (1898) 285- or 388-. 



?ith order, and their n adjoint equations. 

 Griinfeld, E. Crelle J. Mth. 117 (1897) 

 273-. 



, , connexion between funda- 

 mental determinants. Griinfeld, E. Crelle 

 J. Mth. 115 (1895) 328-. 



, classes. Stodotkiewicz, A. J. Krk. Ak. 



(Mt.-Prz.) Ez. 6 (1893) 145- ; Crc. Ac. Sc. 

 Bll. (1892) 373-. 



, non-essential singular points. Griinfeld, 



E. Wien Az. 26 (1890) 65-. 



, possible forms. Starkov, A. P. Kazan 



S. Nt. (Ps.-Mth.) P. 3 (1885) 263-. 



ordinary differential or with finite differences. 



Poincare, H. Am. J. Mth. 7 (1885) 203-. 

 with parameter variable. Appell, P. As. Fr. 



C. E. 8 (1879) 253-. 

 . Horn, J. Mth. A. 52 (1899) 340-. 



particular integrals all of same form. 

 Stem, A. Kjob. Ov. (1866) 77-; Resume, 

 10-; QJ. Mth. 8 (1867) 228-. 



in particular that satisfied by series 



1 a/30 a.a + l./3.j8 + 1.0.0 + l 2 



Forsyth, A. R. QJ. Mth. 19 (1883) 292-. 



problem. Halphen, G. H. Liouv. J. Mth. 1 



(1885) 11-. 

 reducible. Heffter, L. Crelle J. Mth. 122 



(1900) 39-. 

 , class. Bigiavi, C. A. Mt. 19 (1891-92) 



97-. 

 reduction. Pochhammer, L. Crelle J. Mth. 



110 (1892) 188-. 



to integrable forms. Halphen, M. Par. Mm. 

 Sav. Etr. 28 (1884) No. 1, 301 pp. 



simultaneous. Mainardi, G. Mil. At. I. 



Lomb. 1 (1858) 95-. 

 . Pieard, E. C. E. 90 (1880) 976-, 1065-, 



1118-. 



. Tilly, J. de. Mathesis 5 (1885) 121-. 

 , with coefficients variable, class. Griln- 



icald, A. K. Prag Sb. (1869) 63-. 



differential or difference equations with con- 

 stant coefficients. Sylvester, J. J. Am. J. 

 Mth. 4 (1881) 321-. 



or single, with absolute term. Franz, J. 

 D. Nf. Vh. (1896) (Th. 2, Hdlfte 1) 45. 



singular point, fundamental equation. Gilnther, 

 P. Crelle J. Mth. 106 (1890) 330-. 



. , , roots. Hamburger, M. [1877] 



Crelle J. Mth. 84 (1878) 264-. 



points. Pochhammer, L. [1870] Crelle J. 

 73 (1871) 69-. 



. Bendixson, I. Stockh. Ofv. (1895) 81-. 



solutions of which satisfy quadratic relation. 

 Halphen, G. H. C. E. 101 (1885) 664-. 



with substitution-groups independent of para- 

 meters. Fuehs, L. Berl. Ak. Sb. (1892) 

 157- ; (1893) 975- ; (1894) 1117-. 



uniform integrals. Hirsch, A. Konigsb. 

 Schr. 33 (1892) [16]-. 



only. Stenberg, E. A. Helsingf. 

 Acta 16 (1888) 333-. 



1 independent variable. Appell, P. C. E. 

 90 (1880) 1477-. 



2 variables, property. Ramus, C. Kiob. 

 Dn. Vd. Selsk. Afh. 9 (1842) 379- ; Crelle 

 J. 23 (1842) 372-. 



, theorem. Ramus, C. Crelle J. 24 



(1842) 260-. 



Edinb. 



Equivalence of systems. Chrystal, G. 



E. S. T. 38 (1897) 163-. 

 Euler's method demonstrated by the integrat- 

 ing equation. Bier ens de Haan, D. Amst. 



Vs. Ak. 6 (1872) 122- ; Arch. Neerl. 7 (1872) 



273-. 

 , extension. Inueneckij, V. G. St Pet. 



Ac. Sc. Mm. (Rs.) 42 (*1882) 1-. 

 Extension of Galois's ideas to theory. Pieard, 



E. C. E. 121 (1895) 789-; Mth. A. 47 



(1896) 155-. 



Factorisation of operator. Pincherle, S. Bo- 

 logna Ed. 4 (1900) 101-. 

 Fuchsian theory, extension to system of partial 



differential equations. Horn, I. Acta Mth. 



14 (1890-91) 337-. 

 of homogeneous equations. Zajaczkowski, 



W. Krk. Ak. (Mt.-Prz.) Pam. 13 (1887) (1)- ; 



Fschr. Mth. (1887) 298-. 

 Fundamental equation. Casorati, F. Mil. I. 



Lomb. Ed. 13 (1880) 176-. 



