4850 Theory of Ordinary Linear Differential Equations 4850 



Criticoids. Cockle, (Sir) J. [1869-71] Ph. Mg. 



39 (1870) 201- ; 41 (1871) 360-. 

 . Raw son, E. B. A. Ep. (1887) 604-. 

 , inverse problem. Cockle, (Sir) Jas. Ph. 



Mg. 12 (1881) 189-. 

 Decomposition, theory. Cayley, A. QJ. Mth. 



21 (1886) 331-. 

 Determinantal relation in theory. Koenigsberger, 



L. Crelle J. Mth. 105 (1889) 170-. 

 . Igel, B. Mh. Mth. Ps. 4 (1893) 



381-. 

 Differential resolvents. Harley, (Rev.) R. 



Manch. Lt. Ph. S. Mm. & P. 5 (1892) 



79-. 

 , results connected with. Harley, (Rev.) R. 



B. A. Ep. (1896) 714-. 



Distributive operations, non-homogeneous equa- 

 tions. Pincherle, S. Em. E. Ac. Line. Ed. 



5 (1896) (Sem. 1) 301-. 

 Divergent series in theory. Horn, J. D. Mth. 



Vr. Jbr. 8 (1900) (Heft 1) 219-. 

 Elementary divisors of determinants, appli- 

 cation to homogeneous equations. Sauvage, 



L. Mars. Fac. Sc. A. 6 (1897) Fasc. 5, 9 pp. 

 Elimination. Favre-Rollin, A. M. Liouv. J. 



Mth. 1 (1836) 88-. 

 Equation with constant coefficients, equal 



roots, treatment. Routh, E. J. QJ. Mth.- 



19 (1883) 262-. 

 having second member, application 



of Hermite's method. Darboux, G. Bll. Sc. 



Mth. As. 3 (1879) 325-. 



for hypergeometric series of nth order. 

 Pochhammer, L. Crelle J. Mth. 108 (1891) 

 50-. 



including Lame's as special case. Darboux, 

 G. C. E. 94 (1882) 1645-. 



Equations. 



admitting integrals (4) connected by quadratic 



relation. Goursat, E. Par. S. Mth. Bll. 25 



(1897) 95-. 

 , logarithmic differentials of which are 



doubly periodic functions. Fuchs, L. Liouv. 



J. Mth. 4 (1878) 125-. 

 algebraic analogy. Mainardi, G. Mm. At. N. 



Line. 26 (1873) 384-. 

 with algebraic integrals. Jordan, C. [1877] 



Crelle J. Mth. 84 (1878) 89-. 



. Poincarf, H. C. E. 92 (1881) 698-. 



algebraic, 1st order and degree, singular points. 



Bjorling, C. F. E. Arch. Mth. Ps. 4 (1886) 



358-. 

 automorphic by change of function and variable. 



Appell, P. ActaMth. 15 (1891) 281- ; C. E. 



112 (1891) 34-. 

 belonging to same Eiemann's class. Marotte, 



F. C. E. 125 (1897) 84-. 



type as their adjoint equations. 

 Fano, G. Tor. Ac. Sc. At. 34 (1898) 260- 

 or 415-. 



. Fuchs, R. Crelle J. 



Mth. 121 (1900) 205-. 

 with coefficients algebraic. Painleve, P. C. 



E. 106 (1888) 535-. 

 . Guichard, C. Acta Mth. 12 (1889) 



57-. 



with coefficients algebraic. Thomt, L. W. 



Crelle J. Mth. 122 (1900) 1-. 

 functions of independent variable. 



Appell, P. C. E. 92 (1881) 61-. 



, many-valued. Thome, L. W. Crelle 



J. Mth. 115 (1895) 33-, 119- ; 119 (1898) 

 131- ; 121 (1900) 1-. 



constant. Lorenz, L. Mth. Ts. 4 (1862) 



38-. 

 . Picquet, H. Par. EC. Pol. J. Call. 



53 (1883) 79-. 

 . Meray, C. Bll. Sc. Mth. 12 (1888) 



196-. 

 . Auric, . N. A. Mth. 13 (1894) 



47-. 

 . Franklin, F. Am. J. Mth. 19 



(1897) 92-. 

 . Gonzalez, M. Arg. S. Ci. A. 47 



(1899) 178-. 

 , d'Alembert's method. Stodoikiewicz^ 



A. J. Krk. Ak. (Mt.-Prz.) Ez. 6 (1893) 



105- ; Crc. Ac. Sc. Bll. (1892) 294-. 

 , particular case. Ocagne, M. d'. N. 



A. Mth. 3 (1884) 138-. 

 doubly periodic. Picard, E. C. E. 90 



(1880) 293-. 

 . Mittag-Leffler, G. C. E. 90 



(1880) 299-. 



. Appell, P. C. E. 92 (1881) 



1005-. 

 . Picard, E. Crelle J. Mth. 90 



(1881) 281-. 



. Floquet, G. C. E. 98 (1884) 38-, 



82-; Par. EC. Norm. A. 1 (1884) 181-. 

 . Bigiavi, C. Em. E. Ac. Line. 



Ed. 6 (1890) {Sem. 1) 339-. 

 . Malmborg, M. Ups. Arsk. (1897) 



(Mt. Nt.) 31 pp. 

 periodic. Floquet, G. Par. EC. Norm. 



A. 12 (1883) 47-. 



, and their elementary integrals. 

 Cauchy, A. L. Par. Mm. Ac. Sc. 22 (1850) 

 587-. 



rational. Schafheitlin, P. Crelle J. 

 Mth. 106 (1890) 285-; 111 (1893) 44-. 



. Koch, H. von. C. E. 116 (1893) 



91-. 

 . , determination of groups. Poincare, 



H. C. E. 96 (1883) 691-, 1302-. 

 , relations due to definite integrals. 



Mellin, H. Helsingf. Acta 21 (1896) No. 6, 



57 pp. 



, solution of which depends on quad- 

 rature of algebraic irrational. Dillner, G. 



C. E. 91 (1880) 616-, 687-, 721- ; 92 (1881) 



117, 235-, 289-. 

 real, singular points. Bocher, M. N. 



Y. Am. Mth. S. Bll. 5 (1899) 275-. 

 variable. Brassinne, E. Toul. Mm. Ac. 



6 (1839-41) 50-. 

 . Fuchs, L. Crelle J. 66 (1866) 121- ; 



68 (1868) 354-. 

 connected with algebraic surface. Klein, F. 



[1894] D. Mth. Vr. Jbr. 4 (1897) 91-. 

 cubic equation. Cockle, J. Ph. Mg. 24 



(1862) 37-. 

 equivalent to Lagrange's adjoint equations. 



Brioschi, F. A. Mt. 24 (1896) 339-. 



377 



