4850 Theory of Ordinary Linear Differential Equations 4850 



of system of equations. Sturm, J. C. F. 



Ferussac Bll. Sc. Mth. 12 (1829) 313-. 

 , 1st order. Grilnfeld, E. Wien 



Ak. D. 54 (1888) (Ab. 2) 93-; Wien Az. 25 



(1889) 37-. 

 partial differential equations, 1st order. 



Zajaczkoicski, W. Arch. Mth. Ps. 56 (1874) 



163-. 



simultaneous partial differential 

 equations. Schiff, P. [1891] St Pet. Ac. 

 Sc. Bll. 34 (1892) 407-. 



systems of simultaneous homogeneous equa- 

 tions. Spdta, C. G. Mt. 38 (1900) 217-. 



_ d ^y + M _liL +1 ) N \ y = Q. Paoli, P. [1827] 



dx 2 \ x 2 J 



Mod. S. It. Mm. 20 (1828) 183-. 



x 2 (a + bx n ) dry' + x(c + ex n ) dy'dx 



Sauer, C. G. Crelle J. 2 (1827) 93-. 

 (mx* + nx+p)y" - (qx + r) y' + sy=0. 

 Liouville, J. Par. EC. Pol. J. 21 cah. (1832) 

 163-. 



_ l = (a + px)y. Scherk, H. F. Crelle J. 



10 (1833) 92-, 279. 



= (Scherk). Jacobi, C. G. J. Crelle 



J. 10 (1833) 279. 



d 



Spitzer, S. Arch. Mth. Ps. 42 (1864) 102-. 



- xOT -p^ = J/> m being a negative integer. 

 Spitzer, S. Arch. Mth. Ps. 42 (1864) 328-. 



- (a + bx + ca; 2 ) (b + 2cx) y" + A (a + bx + ex 2 ) y' 



+ B(b + 2cx)y = 0. 

 Spitzer, S. Arch. Mth. Ps. 42 (1864) 330-. 



- (b + 2cx)y" + A (a+bx + cx*)y' 



+ B(b + 2cx) (a + bx + cx^y^Q. 

 Spitzer, S. Arch. Mth. Ps. 42 (1864) 331. 



- (b + 2cx) y" + A (a + bx + ex 2 ) y' 



+ B(b + 2cx)y = 0. 

 Spitzer, S. Arch. Mth. Ps. 42 (1864) 332. 



- (m + x) (n + x) y" +( m -n)y'- X 2 (i + xfy = 0. 

 Spitzer, S. Arch. Mth. Ps. 42 (1864) 375-. 



Spitzer, S. Z. Mth. Ps. 10 (1865) 155-. 

 xy( n ) + ay(' l -n = bxy. Spitzer, S. Z. Mth. 

 Ps. 10 (1865) 221-. 



~ = ay + \f/(x). Eogner, J. Arch. Mth. 

 Ps. 45 (1866) 315-. 



Malmsten, C. J. x ~ 



Camb. and Dubl. Mth. J. 5 (1850) 180-. 



xyW-y = Q. Spitzer, S. Grunert Arch. 

 26 (1856) 57-. 



y( n > = Ax m y' + Bx m ~ l y. Spitzer, S. Grunert 

 Arch. 28 (1857) 254-. 



yW = Ax m y" + Bx- 1 y' + Cx m ~' 2 y. Spitzer, S. 

 Grunert Arch. 29 (1857) 403- ; 30 (1858) 76-; 

 33 (1859) 118- ; 38 (1862) 77-. 



xy"-y = Q. Spitzer, S. Schlomilch Z. 2 

 (1857) 165-. 



( 2 + b 2 x) y" + (etj + fcj a;) y' + (a + b x)y = Q. 

 Spitzer, S. Wien SB. 25 (1857) 31-. 



x 2 (ojj + b z x) y" + x ( fll + 6, x) y' 



Spitzer, S. Schlomilch Z. 3 "(1858) 53-. 



x 3 (a, + b,ar) y'" + x 2 (a 2 + b 2 x) y" 



Spitzer, S. Schlomilch Z. 3 (1858) 55-. 



am jfm = x ' m ~i~m' W r eiler,A. Grunert Arch. 

 31 (1858) 44-. 



x^ n yW = Axy' + By. Spitzer, S. Grunert 

 Arch. 33 (1859) 413-. 



Grunert Arch/ 38 (1862) 462-. 



(n + b n x ) l J n + (n-l + b n-l x ) 2/"" 1 + 



+ (a 1 +b 1 x) y'+(a + b x) y = 0. 

 Spitzer, S. Schlomilch Z. 7 (1862) 264-. 



xy( r >-y( r ~' i } + mx' 2 y = 0. Spitzer, S. Grunert 

 Arch. 40 (1863) 21-. 



Spitzer, S. Schlomilch Z. 8 (1863) 66-. 

 sy" + (r + qx) y' + (p + nx + mx z ) y = 0. 

 Spitzer, S. Schlomilch Z. 8 (1863) 123-. 



VOL. i. 385 



Arch. Mth. Ps. 46 (1866) 25-. 



Spitzer, S. Arch. Mth. Ps. 47 (1867) 110-.' 

 - (a 2 + b 2 x + c^)^+(a 1 + b i x) ( ^ + a y = (). 



Holmgren, H. Stockh. Ak. Hndl. 7 (1867- 

 68) (No. 9) 58 pp. 



kov, A. V. [1876] Eec. Mth. (Moscou) 14 

 (1890) 205- ; Fschr. Mth. (1889) 333-. 



j e = ax m y. Molins, H. Toul. Ac. Sc.Mrn. 

 8 (1876) 167-. 



- -j-j H + F=0. Worms de Eomilly, 



P. Liouv. J. Mth. 4 (1878) 177-. 



- y" + Py'+Qy = 0. Alexeeff, N. As. Fr. C. 

 E. 8 (1879) 190-. 



- ~^ + 2cotx . ~-y 0. Graindorge, J. 



(xii) Kharkov Mth. S. Com. (1880) 46-. 

 - x' 2 y'" + Axy" + By' + Cx^y = 0. Aleksyeevskil, 

 V. P. (xn) Kharkov Mth. S. Com. 

 115- ; Fschr. Mth. (1884) 288. 



- xy" + my' + nyx = 0. Stodoikiewicz , A. J. 

 [1883] (xn) Krk. Ak. (Mt.-Prz.) Ez. & Sp. 

 11 (1884) 155-, XLIX-; Fschr. Mth. (1884) 

 287.' 



ij, V. P. 



Kharkov Mth. S. Com. (1884) 41-; Fschr. 

 Mth. (1884) 289-. 



