4850 Theory of Ordinary Linear Differential Equations 



Eec. Mth. 



4850 



irregular. Nekrasov, P. A. [1894] 



(Moscou) 17 (1895) 498-. 

 . Horn, J. G. E. 126 (1898) 205-. 

 , of equations, 2nd order. Horn, J. Acta 



Mth. 23 (1900) 171-. 

 logarithmic, of non-homogeneous equations. 



Xonigsberger, L. Crelle J. Mth. 90 (1881) 



267- ; 94 (1883) 291-. 

 , , form. Koehler, C. Z. Mth. Ps. 



33 (1888) 231- ; 34 (1889) 36-. 

 , regular equations. Heun, K. Am. J. 



Mth. 10 (1888) 205-. 

 of non-homogeneous equations. Koenigsberger, 



L. Crelle J. Mth. 99 (1886) 10-. 

 between each pair of singular points, relations. 

 ' Fuchs, L. Crelle J. 76 (1873) 177-. 



, with constants of 



group substitutions. Fuchs, L. Berl. Ak. 



Sb. (1892) 1113-. 

 particular. Florov, P. S. Kharkov Mth. S. 



Com. (1886) 31- ; Fschr. Mth. (1886) 303-. 

 , common to two equations. Escherich, G. 



von. [1882] Wien Ak. D. 46 (1883) (Ab. 2) 



61- ; 47 (1883) (Ab. 2) 1-. 

 , of homogeneous equation, product. Besso, 



D. [1882] Em. E. Ac. Line. Mm. 14 (1883) 3-. 

 , non-homogeneous equations. Pincherle, 



S.' Em. E. Ac. Line. Ed. 6 (1890) (Sem. 1) 



199-. 

 , reduced equation expressed by particular 



integrals of given equation. Starkov, A. P. 



Kazan S. Nt. (Ps.-Mth.) P. 3 (1885) 253-; 



Fschr. Mth. (1885) 284. 

 nth particular, of y n + Py( n ~ l ) + Qy( n ~^ + ... 



Sy'+Ty = 0. Malmsten, C. J. Crelle J. 39 



(1850) 91-. 



properties. Schlesinger, L. Orv.-Termt. Ets. 



(Termt. Szak) (1892) 341-. 

 rational. Sincov, D. Kazan S. Ps.-Mth. Bll. 



7 (1898) 1-, 137- ; Kazan Un. Mm. (1898) 



(Pt. 4) 179-, (Pts. 5 & 6), (Ptf. 7 & 8) 137-, 

 (Pt. ,9) ; Fschr. Mth. (1898) 273- ; N. A. 

 Mth. 17 (1898) 411-. 



algebraic, of equations with algebraic rational 

 coefficients. Nekrasov, P. A. Kharkov Mth. 

 Com. 4 (1895) 225-; Fschr. Mth. (1893-94) 

 534, 536. . 



fractional, method of finding. IniSeneckij, 

 V. G. St Pet. Ac. Sc. Mm. (Rs.) 55 .(1887) 



. (Suppl.) No. 9, 55 pp. ; Fschr. Mth. (1-887) 

 296-; St Pet, Ac. Sc. Mm. (Rs.) 58 (1888) 

 1- ; Fschr. Mth. (1888) 317-. 



, -7- (Imseneckij). Nekrasov, P-. A. 



[1893} ; Eec. Mth. (Moscou) 17 (1895) 341-, 

 391- ; Fschr. Mth. (1893-94) 534-. 



- , ( ). Posse, K. A. [1893] Eec. 



. Mth. (Moscou) 17 (1895) 386-. 



, . Gilnther, N. Eec. Mth. 



. (Moscou). 17 (1895) 680- ; Fschr. Mth. 



(1893-94) 534, 537. 

 , (Imseneckij). Nekrasov, P. A. 



Eec. Mth. (Moscou) 18 (1896) 337-; Fschr. 



Mth. (1896) 258. 

 , method of finding. Ermakoff, W. P. Fschr. 



Mth. (1893-94) 534, 536-. 

 --, (Ermakov). Nekrasov, P. A. 



Eec. Mth. (Moscou) 18 (1896) 275- ; Fschr. 



Mth. (1896) 258. ' 



rational particular, investigation by integrating 



factor. Andreev, K. A. Kharkov Mth. S. 



Com. 4 (1895) 177- ; Fschr. Mth. (1893-94) 



534, 535-. 

 real, of equations, 3rd order, zeros. Davidoglou, 



. C. E. 130 (1900) 399-. 

 regular. Frobenius, G. Crelle J. Mth. 80 



(1875) 317-. 



. Koch, H. von. Acta Mth. 18 (1894) 337-. 

 representation. Fuchs, L. [1872] Crelle J. 



75 (1873) 177- ; 76 (1873) 175-. 

 in series of binomial equations. Johnson, 



W. W. Am. J. Mth. 11 (1889) 37-. 

 of solutions of equations, 2nd order, with 3 



singular points. K$pinski, S. Krk. Ak. 



(Mt.-Prz.) Ez. 17 (1900) 112- ; Crc. Ac. Sc. 



Bll. (1899) 67-. 

 homogeneous equations, 2nd order. 



K&ihski, S. Krk. Ak. (Mt.-Prz.) Ez. 5 (1893) 



264- ; Crc. Ac. Sc. Bll. (1893) 20-. 

 supplementary. Heymann, W. Crelle J. Mth. 



98 (1885) 231-. 

 of system of equations, expansion near singular 



point. Bendixson, I. Stockh. Ofv. (1894) 



141-. 

 , points. Horn, J. Crelle 



J. Mth. 116 (1896) 265-; 117 (1897) 104-, 



254-. 



, 1st order, with constant co- 

 efficients when characteristic equation has 



equal roots. Baehr, G. F. W. As. Fr. C. E. 



11 (1882) 92-. 

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



365-. 

 , of homogeneous equation with doubly 



periodic coefficients. Sjoblom, E. Stockh. 



Ofv. (1884) No. 5, 155- ; Fschr. Mth. (1884) 



282. 



, > equations with doubly periodic co- 

 efficients, general form.- Stenberg, E. A. 



Acta Mth. 15 (1891) 259-. 

 zeros, real. Kneser, A. Mth. A. 42 (1893) 



409-. 



of -r^ + gx m y = Q. Plana, G. Tor. Mm. Ac. 



' 26 (1821) 519-, 557-. 



_j + il' + j = 0. Lipschitz, R. Crelle J. 56 

 (1859) 189-. 



If (x) cos x dx, and the equation ~ + y = f (x) . 



Studnicka, F. J. Casopis 13 (1884) 12-; 

 Fschr. Mth. (1884) 235. 



conditions for finiteness. Zu- 

 Eec. Mth. (Moscou) 16 (1893) 



kovskij, N. E. 

 582-. 



Integrating factor. Florov, A. P. Kharkov 

 ' Mth. S. Com. (1887) 47- ; Fschr. Mth. (1887) 



298. 

 of equations, 2nd order. Imshenetsky , 



V. G. Liege S. Sc. Mm. 9 (1882) (No. 10) 



7 pp. 

 factors. Halphen, G. H. C. E. 97 (1883) 



1408-, 1541- ; 98 (1884) 134-. 



382 



