Partial Differential Equations, First Order 



4830 



of a system of simultaneous equations. Tur- 

 quan, L. V. (xn) Brux. S. Sc. A. 7 (1883) 

 (Pt. 1) 70- ; (Pt. 2) 429-. 



systems of equations. Koenigaberger , L. 

 Crelle J. Mth. 109 (1892) 261-. 



. Eiquier,. C. K. 119 (1894) 324-. 



with several unknowns. Beudon, 



J. G. E. 125 (1897) 156-. 

 theorem. Padova, E. N. Cim. 8 (1880) 89-. 

 of total and partial differential equations. 



Shaposhnlkov, N. A. [1879] (xn) Bee. Mth. 



(Moscou) 9 (1878-81) (Pt. 1) 627-. 

 use of calculus of limits. Cauchy,A.L. C. B. 



15 (1842) 14-, 44-, 85-, 188~. 

 of z =px + qy + F(p, q) 



F[x - </>! (p, q) y - fa (p, q)z -<t> 3 (p, q)] = 0. 



Steen, A. Schlomilch Z. 5 (1860) 427-. 



du dv du dv _ _, ,. 



= , j- = - j- . Prym, F. E. Crelle 

 dx dy dy ax 



J. 70 (1869) 354-. 



4830 



Interpretation, geometric, case. Madsen, (Kapt.) 

 V. H. O. (xn) Ts. Mth. 3 (1867) 18-. 



Irreducibility of systems of algebraic equations. 

 Konigsberger, L. Munch. Ak. Sb. 21 (1892) 

 275- ; Crelle J. Mth. Ill (1893) 1-. 



Jacobi's multiplier theory, generalisation and 

 application. Lie, M. S. Christiania F. 

 (1874) 255-. 



theorem on Hamilton's equations, generali- 

 sation. Farkas, J. C. K. 98 (1884) 352-. 



, proof. Steen, A. (xn) Ts. Mth. 5 (1875) 



33-. 

 Last multiplier. Jacobi, C. G. J. G. Arcad. 



99 (1844) 129-. 

 (Jacobi). Pioch, A. Brux. Ac. Bll. 13 



(1846) 151-. 

 ( ). Woronetz, P. Fschr. Mth. (1898) 



609. 

 (_). Chaplygin, S. A. [1900] Eec. 



Mth. (Moscou) 21 (1901) 479- ; Fschr. Mth. 



(1899) 635; (1900) 696-. 



Lie and Mayer, considerations on their re- 

 searches. Saltykoiv, N. G. E. 128 (1899) 



1550- ; 129 (1899) 34-. 

 Linear congruences. Guldberg, A. C. E. 125 



(1897) 489-. 



equations. Nanson, E. J. [1877] Mess. 

 Mth. 7 (1878) 111-. 



. Ermakov, V. P. Kharkov Mth. S. 



Com. 1 (1889) 104- ; Fschr. Mth. (1890) 350. 



. Sokoloff, N. [1889] Fschr. Mth. 

 (1890) 350. 



. Borel, E. G. E. 120 (1895) 677. 



. Delassus, E. G. E. 121 (1895) 46-. 



. Le Eoux, J. Par. S. Mth. Bll. (1897) 



63-. 

 , application of vector operator. Tait, P. 



G. [1870] Edinb. E. S. P. 7 (1872) 190-. 

 and method of Eiemann. Liouville, JR. 



C. E. 131 (1900) 697-. 



, theory. Lipschitz, E. Crelle J. 69 

 (1868) 109-. 



Multiplier of a Jacobian system. Mayer, A. C. 



G. Mth. A. 12 (1877) 132-. 

 Nature of equations. Favero, G. B. Em. E. 



Ac. Line. Mm. 8 (1880) 217-. 



Pfaff's problem. Clebsch, A. [1860] Crelle J. 



60 (1862) 193- ; 61 (1863) 146- . 

 Poisson's theorem, and reciprocal concerning 



integrals of system dx = ~ l = ^ = etc. 



Korkine,A. StP6t. Ac. Sc. Bll. 16 (1871) 429-. 

 Eeduction to canonical form of equations of 



equilibrium of flexible inextensible string. 



Appell, P. C. E. 96 (1883) 688-. 

 , 2nd degree. Elliot, . 



C. E. 113 (1891) 495-. 



of complete system to single system of 

 ordinary equations. Mayer, A. Leip. Mth. 

 Ps. B. 43 (1891) 448-. 



. Schur, F. 



Leip. Mth. Ps. B. 44 (1892) 177-. 

 equation, n + 1 variables, to differential 



equation nth order, 2 variables. Weiler, A. 



D. Nf. Vsm. B. 34 (1858) 146-. 

 Simultaneous equations. Korkine, A. C. E. 



68 (1869) 1460-. 



. Konig, J. Mth. A. 23 (1884) 520-. 



, theorem. Combescure, E. C. E. 78 



(1874) 1212-. 

 in one unknown. Laurent, H. Liouv. 



J. Mth. 5 (1879) 249-. 

 several unknowns. Bourlet, C. Par. 



EC. Norm. A. 8 (1891) (Suppl.) 63 pp. 



linear equations. Fuchs, L. Berl. Ak. Sb. 

 (1898) 222-. 



Singularities. Beudon, J. Par. S. Mth. Bll. 

 26 (1898) 77-. 



of equations of dynamics. Painleve, P. 

 C. E. 123 (1896) 636-. 



and application to problem of 



three bodies. Painleve, P. C. E. 123 (1896) 

 871-. 



Solution. 



cases. C., G. Camb. Mth. J. 1 (1839) 162-. 

 complete, and transformation. Mayer, A. Gott. 



Nr. (1872) 405-. 

 of Euler's equations of motion by elliptic 



functions. Greenhill, A. G. QJ. Mth. 14 



(1877) 265-. 

 Lagrange's rule, demonstration, and history of 



proofs. Chrystal, G. [1891] Edinb. E. S. 



T. 36 (1892) 551-. 

 Lie's. Dixon, A. C. Camb. Ph. S. P. 9(1898) 



279-. 

 method, general, for equations with several 



dependent variables. Tanner, H. W. L. L. 



Mth. S. P. 11 (1879-80) 72-. 



of reciprocation. M'Cowan, J. Edinb. 

 Mth. S. P. 11 (1893) 2-. 



methods of Lagrange and Monge. Watson, H. 

 W. QJ. Mth. 6 (1863) 146-. 



particular, of Fix, y, z, p, q)=0. Madsen, 

 (Kapt.)V.H.O. (xn) Ts. Mth. 2 (1866) 130-. 



of problems of mechanics by successive approxi- 

 mations. Picard, E. Tor. Ac. Sc. At. 34 

 (1898) 6-. 



singular. Carmichael, JR. Ph. Mg. 15 (1858) 

 522-. 



. Weber, H. Crelle J. 66 (1866) 193-. 



. Yaroshenko, S. P. (xn) Eec. Mth. 

 (Moscou) 5 (1870) (Pt. 1) 383-. 



367 



