4830 Partial Differential Equations, First Order, Integration 4830 



of equations of mechanics. Bertrand, J. 



Liouv. J. Mth. 17 (1852) 393-. 

 motion of a particle. Serret, J. A . 



C. E. 26 (1848) 605-. 



planetary motion. Cauchy, A. L. 

 C. B. 9 (1839) 184-. 



theory. Liais, E. Cherb. S. Sc. 



Nt. Mm. 24 (1882) 41-. 



problem of n bodies. Dillner, G. 

 Stockh. Ofv. 39 (1882) No. 4, 13-; No. 8, 9-; 

 A. Mt. 11 (1882-83) 56-. 



with 2 independent variables and n 

 dependent variables. Weber, E. von. Crelle 

 J. Mth. 118 (1897) 123-. 



3 variables. Leaute, H. Toul. Ac. 



Sc. Mm. 7 (1875) 1-. 



several variables and constant co- 

 efficients. Alexeeff, N. [1880] St Pet. Ac. 

 Sc. Bll. 27 (1881) 22-. 



n independent variables. Lemonnier, 



H. Par. S. Mth. Bll. 10 (1882) 223-. 

 variables. Cauchy, A. L. Par. S. 



Phlm. Bll. (1819) 11-. 

 . Lavagna, G. M. At. Sc. 



It. (1845) 1081-. 

 . Frisiani, P. Mil. Effem. As. 



(1848) 3-. 

 . Meyer, A. [1851] Brux. Ac. 



Sc. Mm. 27 (1853) 24 pp. 

 (n + 1) variables. Wetter, A. Schlo- 



milch Z. 8 (1863) 264-. 

 geometric, of L (px + qy-z)- Mp -Nq + R = 0, 



L, M, N, R being linear functions of x, y, z. 



Foufet, G. C. B. 83 (1876) 794-. 

 of Hamiltonian systems, etc. Konig, J. Mth. 



A. 23 (1884) 504-. 

 Hamilton's equation. Staeckel, P. C. B. 



121 (1895) 489- ; Mth. A. 49 (1897) 145-. 



linear equations. Gilbert, P. Brux. S. Sc. 

 A. 9 (1885) (Pt. 2) 41-. 



,3 variables. Lobatto, R. Amst. N. 



Vh. 6 (1837) 157-. 

 ,4 variables. Lobatto, R. Amst. Vh. 



1 (1854) 30 pp. 

 homogeneous equations with 1 dependent 



variable. Zorawski, K. Prace Mt.-Fiz. 3 



(1892) 1- ; Fschr. Mth. (1892) 327-. 



system, by considering flow of fluid. 

 Larmor, J. B. A. Bp. (1897) 562-. 



method, Cauchy's. Zernov, S. N. (xn) Bee. 



Mth. (Moscou) 3 (1868) (Pt. 1) 309-. 

 , . Hansen, P. C. V. (xn) Ts. Mth. 6 



(1870) 25-^ 73-, 132-. 

 , . Mansion, P. C. E. 81 (1875) 



TOO-. 

 , general. Pfaff, J. F. Berl. Ab. (1814-15) 



(Mth.) 76-. 

 , graphic. Massau, J. Brux. A. Tr. Pbl. 



5 (1900) 507-. 

 , Jacobi-Hamilton. Mayer, A. [1870] Mth. 



A. 3 (1871) 435-. 

 , Jacobi's. Gilbert, L. P. [1880] (xn) Brux. 



S. Sc. A. 5 (1881) (Pt. 1) 52- ; (Pt. 2) 1-. 

 , first. Darboux, G. C. B. 79 (1874) 



1488- ; 80 (1875) 160-. 

 , . Bertrand, J. C. B. 82 (1876) 



641-. 



method, Jacobi's first, generalisation. Salty- 



kow, N. C. B. 128 (1899) 225-, 274-; 



Fschr. Mth. (1899) 319. 

 ,, and Pfaff 's problem. Clebsch,A. Crelle 



J. 59 (1861) 190-. 

 , Lagrange's. Mansion, . Brux. S. Sc. 



A. 15 (1891) (Pt. 1) 3-. 

 , new. Lie, S. Gott. Nr. (1872) 321-. 

 , (Lie). Mayer, A. Mth. A. 6 (1873) 162-. 

 , . Kovalukij, M. F. Kharkov Mth. S. 



Com. 5 (1896?) 125- . 

 , , for equations, n variables. Jacobi, 



C. G. J. Crelle J. 60 (1862) 1-. 

 , , , . Lie, S. Christiania F. 



14 (1872) 28-. 

 , Pfaff's. Morera, G. Mil. I. Lomb. Ed. 16 



(1883) 637-, 691-. 

 , Weiler's. Mayer, A. C. G. Mth. A. 9 



(1876) 347-. 

 methods. De Morgan, A. [1848] Camb. Ph. 



S. T. 8 (1849) 606-. 

 . Lie, M. S. Christiania F. (1875) 16-. 



of Cauchy, and of Jacobi and Mayer, com- 

 parison. Delassus, E. Bll. Sc. Mth. 21 

 (1897) 187-. 



of non-linear equations, n variables. Lavagna, 



G. M. Catania At. Ac. Gioen. 7 (1850) 17-. 

 and a property of Poisson's function. Gilbert, 



L. P. As. Fr. C. E. 9 (1880) 61- ; C. E. 



91 (1880) 541- ; (xn) Brux. S. Sc. A. (1881) 



(Pt. 1) 52- ; (Pt. 2) 1-. 

 reduction to that of ordinary equation. Jacobi, 



C. G. J. Crelle J. 17 (1837) 97-. 

 simultaneous. Cauchy, A. L. C. E. 44 (1857) 



805-. 

 , of linear equations. Clebsch, R. F. A. 



[1865] Crelle J. 65 (1866) 257-. 

 , . Mayer, A. Gott. Nr. (1872) 



315- ; Mth. A. 5 (1872) 448-. 

 of simultaneous equations. Collet, . Par. 



EC. Norm. A. 7 (1870) 7-. 



. Mayer, A. Mth. A. 4 (1871) 88-. 



. Weber, E. von. C. E. 123 (1896) 



292-. 

 , Bour's method. Schultz, E. Arch. 



Mth. Ps. 13 (1895) 316-. 

 , two. Imshenetskil, V. G. [1874] 



(xn) Bee. Mth. (Moscou) 7 (1874-75) (Pt. 1) 



206-. 

 , , with partial differentials of 2 



functions of 2 independent variables. Tur- 



quan, L. V. (xn) Brux. S. Sc. A. 4 (1880) 



(Pt. 2) 303-. 



n simultaneous equations connecting n 

 functions of 2 independent variables and 

 their partial differentials. Turquan, L. V. 

 C. E. 91 (1880) 43-. 



a system of equations. Stodolkievitz , A. J. 

 C.B. 120 (1895) 1037-. 



5 equations. Carbonnelle, J. Brux. 



Ac. Bll. 22 (1855) (pte. 2) 652-. 



n linear equations with 2 indepen- 

 dent and n dependent variables. Hamburger, 

 M. [1875] Crelle J. Mth. 81 (1876) 243-. 



non-linear equations with 2 in- 

 dependent and n dependent variables. Ham- 

 burger, M. Crelle J. Mth. 93 (1882) 188-. 



366 



