4830 



Partial Differential Equations, First Order 



4830 



= +y. Vieille, J. N. A. Mth. 5 



(1846) 509-. 



d x { (x - x 3 ) y x } - xy = 0. Liouville, J. Liouv. 

 J. Mth. 19 (1854) 151-. 



-~=f(x,y). Liouville, J. Liouv. J. Mth. 



20 (1855) 143-. 



dy (Py d*y_ /^\ 3 , o /%V , 



dx dx 2 y Ac 2 \dx) \dx) 



T-J.+ U = 0, where P, Q, etc. are func- 

 tions of x and y. Tychsen, C. Mth. Ts. 6 

 (1864) 145-. 



, H. J. [1881] Mess. 

 snxdnx 



cnx 



_, 2 '|^=,etc. Spar re (le comte) 



de. Acta Mth. 3 (1883) 105-, 289-. 

 - + 2/ 2 + Py + Q = 0. Johnson, W. W. A. 

 Mth. 3 (1887) 112-. 



Mth. 11 (1882) 56-. 

 dV r^fBnxon* 

 dx 2 [_ dnx 



en. 



Heymann, W. Crelle J. Mth. 119 (1898) 

 253-. 



2iX k dx k , two types of simplest forms. Rusjan, 

 C. K. Fschr. Mth. (1899) 315. 



4830 Methods of solution and 

 reduction of partial differential 

 equations of first order, includ- 

 ing the differential equations 

 of theoretical dynamics. 



Algebraic equation and its complete primi- 

 tive, discriminants. Torelli, G. A. Mt. 19 

 (1891-92) 254-. 



in 4 variables, discriminants. Arcais, 



F. d\ A. Mt. 12 (*1883-84) 1-. 



Application of complex variable. Imshenet- 

 sky, V. G. Bll. Sc. Mth. As. 11 (1876) 

 162-. 



determinant-relation. Hamburger, . 



Crelle J. Mth. 100. (1887) 390-. 



methods analogous to Galois's. Drach, J. 



C. R. 120 (1895) 73-. 



Cauchy's problem for equations with 2 in- 

 dependent variables. Delassus, E. Toul. 

 Fac. Sc. A. 12 (1898) F, 9 pp. 



Contact transformations. Lie, S. Christiania 

 F. 14 (1872) 24-. 



Discontinuities consistent with the holding of 

 linear partial equations. Christoffel, E. B. 

 [1876] A. Mt. 8 (1877) 81-. 



Equations. 



De Morgan, A. Camb. and Dubl. Mth. J. 7 



(1852) 28-. 



Malmsten, C. J. Stockh. Ofv. 16 (1859) 57-. 

 Hargreave, C. J. Ph. Mg. 27 (1864) 355-; 



29 (1865) 121-. 



Schlafli, L. A. Mt. 2 (1868-69) 89-. 

 Lie, S. Christiania F. 15 (1873) 16-. 

 Cayley, A. QJ. Mth. 14 (1877) 292-. 

 Hocevar, F. [1877] Wien Ak. Sb. 76 (1878) 



(Ab. 2) 740-. 

 Mansion, P. (xn) Brux. S. Sc. A. 5 (1881) 



(Pt. 1) 58- ; (Pt. 2) 17- ; 6 (1882) (Pt. 1) 56-. 

 Garbieri, G. Yen. I. At. 1 (1883) 1173-. 

 Besso, D. Em. E. Ac. Line. Ed. 3 (1887) 



(Sem. 2) 158-. 



Vivanti, G. Palermo Cir. Mt. Ed. 2 (1888) 53-. 

 Schur, F. Leip. Mth. Ps. B. 45 (1894) 38-. 

 Saltykow, N. N. A. Mth. 18 (1899) 533-. 

 admitting finite groups. Lie, S. Mth. A. 25 



(1885) 71-. 

 canonical, occurring in mechanics. Mathieu, 



E. L. Liouv. J. Mth. 19 (1874) 265-. 

 class. Picard, E. C. E. 100 (1885) 231-. 

 . Pellet, A. E. As. Fr. C. E. (1890) (Pt. 2) 



203- . 

 . Guldberg, A. Christiania Skr. (Mth.-Nt. 



Kl.) (1899) #0. 8, 17 pp. 



including those of dynamics. Donkin, 

 W.F. Phil. Trans. (1854) 71- ; (1855)299-. 



of 1st degree, 4 or more variables. Trembley, J. 

 [1799] St Pet. Ac. Sc. N. Acta 14 (1805) 153-. 



2nd degree. Elliot, . Par. EC. Norm. A. 

 9 (1892) 329-. 



occurring in dynamics. Cayley, A. Camb. 

 and Dubl. Mth. J. 2 (1847) 210-. 



. Boole, G. Phil. Trans. (1863) 485-. 



. Hill, G. W. Des Moines Anal. 1 



(1874) 200-. 



, class. Volterra, V. Tor. Ac. Sc. 



At. 33 (1897) 255- or 451- ; 35 (1900) 118 

 or 192. 



Helmholtz's paper on monocyclic sys- 

 tems. Kronecker, . Crelle J. Mth. 97 

 (1884) 141-. 



with pairs of orthogonal integrals. Levi-Civita, 

 T. Em. E. Ac. Line. Ed. 8 (1899) (Sem. 1) 

 295-. 



satisfied by absolute invariants of binary forms 

 in higher transformations. Clebsch, R. F. A. 

 Gott. Ab. 15 (1870) (Mth.) 65-. 



and theory of surfaces. Enneper, A. Schlo- 

 milch Z. 7 (1862) 1-. 



unknown contained explicitly. Lie, S. Chris- 

 tiania F. 15 (1873) 52-. 



with 2 independent variables, admitting con- 

 tinuous group of transformations. Tannen- 

 berg, W. de. Toul. Fac. Sc. A. 5 (1891) B, 

 150 pp. 



several dependent variables. Tanner, 

 H. W. L. L. Mth. S. P. 9 (1877-78) 41-. 



variables. Binet, J. P. M. C. E. 16 



(1843) 1273-. 



n variables. Frisiani, P. Mil. Effem. 

 As. (1849) 1-. 



364 



