4840 Partial Differential Equations. Second and Higher Orders 4840 



system. Goursat, E. C. K. 104 (1887) 1361-. 

 . Picard, E.. C. B. 112 (1891) 685-. 

 systems. Picard, E. C. E. 114 (1892) 805-. 

 _. Beudon, J. C. E. 120 (1895) 304-. 

 , characteristics of which depend on finite 



number of parameters. Beudon, J. Par. 



EC. Norm. A. 13 (1896) (Suppl.) 51 pp. 

 reducible to ordinary differential equations. 



Beudon, J. C. E. 127 (1898) 1003-. 

 , symmetric. Somigliana, C. A. Mt. 22 



(1894) 143-. 

 in theory of asymmetric algebra. Forsyth, 



A. R. Camb. Ph. S. T. 16 (1898) 291-. 

 and theory of surfaces, relation between. -Stouff, 



X. Par. EC. Norm. A. 13 (1896) 9-. 



Existence of irreducible equations. Koenigs- 



berger, L. Berl. Ak. Sb. (1894) 989-. 

 Extension of Cauchy's theorem to most general 



systems. Delassus, E. C. E. 122 (1896) 



772- ; Par. EC. Norm. A. 13 (1896) 421-. 

 General equation, geometrical significance. 



Rolling, . Mth. Ts. 5 (1863) 79-. 

 Generation. Minich, S. R. Yen. At. 4 (1845) 



377-. 

 Integrability of Airy's equations. Moon, R. 



E. S. P. 15 (1867) 486-. 

 Integrable equations of 2nd order, two. Goursat, 



E. C. E. 129 (1899) 31-. 

 types of equations of 2nd order. Goursat, E. 



C. E. 127 (1898) 854-. 



Integrals. 



Poisson, S. D. Par. S. Phlm. Bll. 3 (1804) 



227- ; Par. EC. Pol. J. 19 e call. (1823) 215-. 

 Cauchy, A. L. C. E. 16 (1843) 572-, 

 analytic, of linear equations with 2 variables. 

 Le Roux, J. C. E. 125 (1897) 1015-. 



Delasmu, . C. E. 118 (1894) 968-. 



, |^ 2 = ^ . Le Roux, J. Bll. Sc. Mth. 



19 (1895) 127-. 



complete, of some classes of equations, any 

 order. Pennacchietti,'G. Mil. I. Lomb. Ed. 

 17 (1884) 279-. 



, and general solution of equations. Ser- 

 sau-y,V. Wien Ak. D. 53 (1887) (Ab. 2) 1-. 



, of homogeneous equations which do not 

 contain explicitly the unknown function. 

 Gubkin, I. 'S. Mosc. S. Sc. Bll. 73 (No. 1) 

 (1891) 9-; Fschr. Mth. (1891) 396-. 



of equations, 2nd order. Serdobinskij , V. E. 

 Eec. Mth. (Moscou) 13 (1886) 511- ; Fschr. 



Mth. (1887) 354. 

 -- , -- , cases. Picard, E. C. E. Ill 



(1890) 487-.. 

 first, of equations of 2nd degree in 4 or 5 



variables. Trembley, J. [1805] St Pet. 



Ac. Sc. Mm. 4 (1811) 120-. 



, ----- and of 3rd in 3 variables. 

 Trembley, J. [1803] St Pet. Ac. Sc. N. Acta 

 15 (1806) 257-. 



first, of equations, 2nd order. Boole fnon 



st Pa - Ac - So - B11 - " 



- . -- , cases. Tanner, H. W. L. 

 Mess. Mth. 5 (1876) 133-. 



forms of arbitrary functions. Challis, J. Ph. 



Mg. 6 (1829) 296-. 

 general, character. Forsyth, A. R. [18971 



L. Mth. S. P. 29 (1898) 5-. 



, of equations with constant coefficients 

 Tortolini, B. [1854] Mod. S. It. Mm. 25 

 (1855) 310-. 



, -- of form 



Starkov, A. N. Es. S. Nt. Mm. (Mth.) 2 



(*1879). 

 for given initial conditions. Goursat E C 



E. 125 (1897) 640-. 

 intermediate, of equations, 2nd order. Goursat, 



E. Acta Mth. 19 (1895) 285-; C. E. 127 

 (1898) 603-. 



of linear equations. Cauchy, A. L. C. E. 



16 (1843) 469-. 

 number of arbitrary functions. Gomes Teixeira, 



F. Bordeaux S. Sc. Mm. 2 (1878) 315-. 



of partial differential equations and difference 

 equations, arbitrary functions. Oltramare, 



G. As. Fr. C. E. (1895) (Pt. 2) 171-. 

 problem on determination. Goursat, E. C. E. 



121 (1895) 671-. 



singularities. Horn, J. Mth. A, 33 (1889) 

 310-. 



of j + = 0. Matthiessen, L. Z. Mth. 

 Ps. 16 (1871) 228-. 



Integrating factor, . theory. Lie, M. S. Chris- 



. tiania F. (1874) 242-. 

 of s + Qpq + Rp + Sq + T-O, determina- 



. tion. Johnsen, S. JV. (xn) Ts. Mth. 2 

 (1878) 129-. 



Integration. 



Cauchy, A. L. [1823] ' Par. Mm. Ac. Sc. 9 



(1830) 97-. 

 Pagani, G. M. Quetelet Cor. Mth. 6 (1830) 



286-. 



Bronwin, B. Camb. Mth. J. 2 (1841) 209-. 

 Weiler, A. Grunert Arch, 33 (1859) 171-. 

 Bour, E. Par. EC. Pol. J. cah. 39 (1862) 



149-. 

 Graindorge, J. (x) Liege S. Sc. Mm. 5 (1873) 



No. 3, xii + 189 pp. . 

 Peterson, K. M. [1876-79] (xn) Eec. Mth. 



(Moscou) 8 (1876) (Pt. 1) 291- ; 9 (1878-81) 



(Pt. 1) 137- ; 10 (1882-83) (Pt. 1) 169-. 

 Nazimov, P. S. Mosc. Un. Mm. (Ps.-Mth.) 



1 (*1880) 1-, 257-. 

 Sersawy, V. Wien Ak. D. 49 (1885) (Ab. 2) 



Antomari, X. Par. S. Mth. Bll. 19 (1891) 



154-. 

 application of contact-transformations. Brill, 



J. N. A. Mth. 10 (1891) 362-. ' 



371 



AA 



