4830 Partial Differential Equations, First and Second Orders 



Mil. I. Lomb. Ed. 9 



4840 



singular. Casorati, F. 

 (1876) 522-. 



. Darboux, G. Par. Mm. Sav. Etr. 27 

 (1883) No. 2, 243 pp. 



Holler, J. Stockh. Ofv. (1888) 463-. 



Egorow, D. T. Fschr. Mth. (1898) 305-. 



of coincidence curve. Bjorling, C. F. E. 

 Stockh. Ak. Hndl. Bh. 12 (Afd. 1) (1887) 

 Vo. 7, 16 pp. 



and envelopes. Cockle, (Sir) Jas. Manch. 

 Lt. Ph. S. P. 24 (1885) 10-, 23-. 



, of equations representing lines at infinity. 

 Mansion, P. B. A. Ep. (1875) (Sect.) 19-. 



, -- in 2 variables. Landre, C. L. As. 

 Fr. C. E. (1879) 241-. 



of system of simultaneous non-linear equa- 

 tions. Nanson, E. J. E. S. P. 23 (1875) 

 510; 24 (1876) 337-. 



L - 



QJ. Mth. 8 (1867) 252-. 



Substitution of complex values in equations 



with 2n variables. Imshenetsky,V.G. Liege 



S. Sc. Mm. 7 (1878) (No. 2) 6 pp. 

 System of equations. Combescure, E. C. E. 



74 (1872) 977-. 

 --- . Volterra, V. Tor. Ac. Sc. At. 30 



(1895) 445-. 

 -- equivalent to those in problem of n 



bodies but admitting one more integral. 



Ebert, W. C. E. 131 (1900) 251-. 

 Systems, complete, of homogeneous linear 



equations. Schur, F. Crelle J. Mth. 108 



(1891) 313-. 



of equations. Du Bois-Reymond, P. [1867] 

 Crelle J. 68 (1868) 180-. 



--- . Backlund, A. V. [1876] Mth. A. 



9 (1877) 412-. 

 --- analogous to equations of an involution. 



Beudon, J. Liouv. J. Mth. 5(1899) 351-. 



1st order. Beudon, J. 



Par. EC. Norm. A. 15 (1898) 229-. 



--- deprived of integrals. Meray, C. C. 



E. 106 (1888) 648-. 

 --- with one unknown function. Delassus, 



E. Par. EC. Norm. A. 14 (1897) 109-. 



several dependent variables. 

 Tanner, H. W. L. L. Mth. S. P. 10 (1878- 

 79) 55-. 



-- involution. Weber, E. von. Mth. A. 49 



(1897) 543-. 

 Theorem of Jacobi's. Bonnet, 0. C. E. 45 



(1857) 581-. 

 -- Lie. Bendixson, I. Stockh. Ofv. (1892) 



301-. 



Theory. 



Yanishevskil, E. P. (xn) Kazan Un. Mm. 



(1863) (Ps.-Mth., No. 2) 100 pp. 

 Darboux. G. C. E. 70 (1870) 746-. 

 Mansion, P. [1873] Brux. Mm. Cour. 8, 25 



(1875) No. 1, xvi + 282 pp. 

 Kowalevsky, S. von. [1874] Crelle J. Mth. 80 



(1875) 1-. 



Backlund, A. V. Mth. A. 17 (1880) 285-. 

 Czuber,E. WienAk. Sb.l03(1894)(^6.2a)295-. 

 Tannenberg, W. de. C. E. 120 (1895) 674-. 



Saltykow, N. C. E. 129 (1899) 195-. 

 analytic. Delassus, E. Liege S. Sc. Mm. 20 



(1898) No. 3, 84 pp. 



and classification. Lie, S. Gott. Nr. (1872) 473-. 

 direct application of first principles. Larmor, 



J. E. S. P. 43 (1888) 176-. 

 of equations with 3 variables. Du Bois- 

 Reymond, P. Crelle J. 64 (1865) 271-. 

 general. Liouville, J. Liouv. J. Mth. 1 (1856) 



345-. 

 . Lie, M. S. Christiania F. (1874) 198- ; 



(1875) 1- ; Mth. A. 9 (1876) 245- ; 11 (1877) 



464-. 

 Lie's. Biermann, 0. Leip. Mth. Ps. B. 48 



(1896) 665-. 

 of linear equations. Krankenhagen, (Dr) . 



Gott. Nr. (1880) 197-. 



Transformation of equations of dynamics. 



Radau, R. Par. EC. Norm. A. 5 (1868) 311-. 

 . Painleve, P. C. E. 115 (1892) 



714-, 874 ; 123 (1896) 392-. 

 motion of a particle. Cerruti, V. 



Em. E. Ac. Line. T. 3 (1879) 196-. 



three bodies problem. Brioschi, 

 F. C. E. 66 (1868) 710-. 



, method of Jacobi, extension. Meray, C. 



Par. EC. Norm. A. 7 (1890) 217-. 

 , orthogonal, applicable to equations of dy- 

 namics. Radau, R. C. E. 67 (1868) 316-. 

 Transformations of equations of three bodies 



problem. Siacci, F. Tor. At. Ac. Sc. 6 



(1870-71) 440-. 

 principal function. Cauchy, A. L. C. 



E. 13 (1841) 40-, 97-, 397-, 455-, 487-, 



1127- ; 14 (1842) 1-. 

 Variation of arbitrary constants in problems 



of dynamics. Brioschi, F. Tortolini A. 4 



(1853) 298-. 

 definite integral and theory of equations. 



Marcolongo, R. Nap. Ed. 27 (1888) 500-. 



4840 Methods of solution and re- 

 duction of partial differential 

 equations of the second and 

 higher orders. 



Abel's theorem. Cayley, A. [1880-81] Phil. 



Trans. 172 (1881) 751- ; Camb. Ph. S. P. 4 



(1883) 119-. 

 , equation connected with. Cayley, A. 



B. A. Ep. (1881) 534-. 



of partial differential equations. Delassus, 

 E. Par. EC. Norm. A. 14 (1897) 21-. 



Analogues of equations of 1st order. Beudon, 

 J. C. E. 126 (1898) 324-, 388-. 



Arbitrary functions, calculation. Beudon, J. 



C. E. 128 (1899) 1215-. 



, elimination. Garbieri, G. Yen. I. At. 

 (1886-87) 831-. 



, , new method. Minich, S. R. C. E. 



84 (1877) 1496- ; 87 (1878) 161-. 

 Changes of variables. Beudon, J. Par. S. 



Mth. Bll. 28 (1900) 107-. 



368 



