4850 Theory of Ordinary Linear Differential Equations 4850 



of equations, 2nd order, with coefficients linear. 

 Zmurko, W. [L.] (XH) Krk. Ak. (Mt.-Prz.) 

 Pam. 8 (1883) 74-. 



, , . Stodotkieu-icz, A. J. 



[1883] (xn) Krk. Ak. (Mt.-Prz.) Pam. 9 

 (1884) 113- ; Fschr. Mth. (*1884) 286-. 



, , functions of the in- 

 dependent variables. Winckler, A. Wien 

 Sb. 67 (1873) (Ab. 2) 143-. 



, , rational, in finite form. 



Pepin, . [1862] (vm) A. Mt. 5 (1863) 185-. 



, , by development in continued 

 fractions with Abelian integrals. Heun, K. 

 Mth. A. 30 (1885) 553-. 



, , on which evection depends. 

 Gylden, J. A. H. C. K. 93 (1881) 127-. 



, , forms, theory. Brioschi, F. Mth. 



A. 11 (1877) 401-. 

 , , , . Forsyth, A. E. QJ. Mth. 



23 (1889) 45-. 

 , , by Gauss's series. Thoniae, C. J. 



Z. Mth. Ps. 19 (1874) 273-. 



, ,2 variables. Buttel, P. Grunert 



Arch. 23 (1854) 410-. 



, , or more variables. Weiler, A. 



[1854] Crelle J. 51 (1856) 105-. 

 , 3rd order. Besso, D. Mod. Ac. Sc. Mm. 



7 (1890) 245-. 



, higher orders. Malmsten, C. J. Stockh. 

 Ofv. 5 (1848) 135-. 



, nth order. Stodotkiewicz, A. J. Crc. 



Ac. Sc. Bll. (1893) 241-. 

 , , case. Hossenfelder, E. Mth. A. 



4 (1871) 195-. 

 , , . Alekseevskij, V. P. Kharkov 



Mth. S. Com. (1884) 222-; Fschr. Mth (1885) 



328. 



, , with constant coefficients and 

 equal roots. M., F. (vi Adds.) Gergonne 

 A. Mth. 3 (1812-13) 46-. 



, particular integrals of which can be ex- 

 pressed in terms of one another. Libri, G. 

 [1830] Crelle J. 10 (1833) 167-. 



,2 variables. Canterzani, S. [1798] Mod. 



Mm. S. It. 8 (1799) 307-. 

 error attributed by Herapath to Lagrange. 



Alpha Beta (a. /3.). (vi Adds.) Ph. Mg. 3 



. F. E. S. (vi Adds.) Ph. 



Mg. 3 (1828) 97-. 

 . Herapath, J. Ph. Mg. 3 



(1828) 21CK 

 by finite explicit functions. Steen, A, Kjob. 



Dn. Vd. Selsk. Skr. 10 (1875) 519-. 

 in finite form. Andre, D. C. E. 88 (1879)230-; 



Liouv. J. Mth. 6 (1880) 27- ; 7 (1881) 283-. 

 . Stoddtkieicicz, A. J. [1892] Krk. 



Ak. (Mt.-Prz.) Rz. 6 (1893) 100- ; Crc. Ac. 



Sc. Bll. (1892) 296-; Prace Mt.-Fiz. 4 (1893) 



31. 

 general, of equations of any degree and with 



any number of variables. Euler, L. [1779] 



St Pet. Ac. Sc. Mm. 4 (1813) 43-. 

 of general equations of order above 2nd by 



finite number of quadratures, impossibility. 



Starkov, A. P. Kazan S. Nt. (Ps.-Mth.) P. 



3 (1885) 256- ; Fschr. Mth. (1885) 309. 



general formula for equation with 2nd member 



and constant coefficients. Lyetnikov, A. V. 



[1879] (xn) Eec. Mth. (Moscou) 9 (1878-81) 



(Pt. 1) 550-. 

 graphic, of equations, 1st order. Czuber, E. 



Z. Mth. Ps. 44 (1899) 41-. 

 of Hermite's equations of 3rd and 4th orders, 



integrals having poles of 1st order. Mittag- 



Leffier, G. Helsingf. Acta 12 (1883) 409- ; 



A. Mt. 11 (1882-83) 65-. 



homogeneous equation in annular space 

 containing no singularities. Mittag-Leffler, 

 G. Stockh. Ofv. (1889) 415-. 



equations, classes. Mittag-LeJfter, G. 

 Stockh. Ofv. 37 (1880) No. 6, 59-. 



, 2nd order, case. Besso, D. Mod. Ac. 

 Sc. Mm. 7 (1890) 239-. 



by quadratures. Schlesinger, L. 

 Crelle J. Mth. 116 (1896) 97-. 



Kummer's equation. Lindelnf,E. Helsingf. 

 Acta 19 (1893) No. 1, 31 pp. 



mechanical, of equations, 2nd order, with 



variable coefficients. Thomson, (Sir) W. R. 



S. P. 24 (1876) 269-. 

 , general equation, any order, with variable 



coefficients. Thomson, (Sir) W. R. S. P. 



24 (1876) 271-. 

 method. Woodward, E. S. N. Y. Am. Mth. 



S. Bll. 6 (1900) 366, 369-. 

 , d'Alembert's. Brassinne, E. Toul. Mm. 



Ac. 1 (1844) 91-. 

 , . application to equations with constant 



coefficients. Stodrtkieivicz , A. J. Krk. Ak. 



(Mt.-Prz.) Rz. 6 (1893) 105- ; Crc. Ac. Sc. 



Bll. (1892) 294-. 

 , Brisson's first, for linear and finite difference 



equations. Mansion, P. [1869] Brux. Mm. 



Cour. 8, 22 (1872) (No. 1) 32 pp. 



for equations with one independent variable. 

 Caque, F. Liouv. J. Mth. 9 (1864) 185-. 



, general, for special class of equations. 



Steen, A. Kjob. Ov. (1866) 13-. 

 , Laplace's, for linear and finite difference 



equations. Darboux, G. Bll. Sc. Mth. As. 



3 (1879) 209-. 



for simultaneous equations, 1st order. 

 Cauchy, A. L. C. R. 43 (1856) 127-. 



of non-homogeneous equations. Heymann, W. 

 Z. Mth. Ps. 30 (1885) 27-, 79- ; 32 (1887) 22-. 



when polynomial has equal roots. Plana, G. 

 [1826] Tor. Mm. Ac. 31 (1827) 377-. 



of Riccati's equation y" + 2zy' + z 2 y = by ex- 

 pansion of ye ~ ^ z in infinite series. Clariana 

 Eicart, L. Fschr. Mth. (1900) 352. 



by series. Frobenius, G. Crelle J. 76 (1873) 

 214-. 



. Peano, G. Tor. Ac. Sc. At. 22 (1886- 



87) 437- ; Mth. A. 32 (1888) 450-. 



of simultaneous equations. Prouhet, E. N. 

 A. Mth. 5 (1866) 323-. 



(2), d'Alembert's. Kryger, C. (xii) 



Ts. Mth. 5 (1875) 38-. 



( ) in 71 variables. Eaabe, J. L. 



Ziir. Mschr. 1 (1856) 130-. 



by sines of higher orders. Yron-Villarceau, 

 A. J. F. C. R. 90 (1880) 721-, 767-; 91 

 (1880)13- ; Par. Ing. Civ. Mm. (1880) (v. 2) 18-. 



384 



