4840 Partial Differential Equations. Second and Higher Orders 4840 



Monge's equation, special cases. Kapteyn, W. 



Amst. Ak. Vs. 8 (1900) 278-, 356-, 620- ; 



Amst. Ak. P. 2 (1900) 241-, 326, 525-; Par. 



EC. Norm. A. 17 (1900) 245-. 

 Moutard's theorem, geometrical interpretation. 



Bianchi, L. Km. K. Ac. Line. Ed. 3 (1894) 



(Sem. 1) 565-. 

 Schwarz's "alternate" process. Phragmen, 



E. Stockh. Ofv. (1892) 265-. 



Successive approximations applied to equations, 



2nd order. Picard, E. C. E. 110 (1890) 



61-. 

 Symbolic operators, and application to solution 



of equations. Glaisher, J. W. L. L. Mth. 



S. P. 12 (1880-81) 201-. 

 System of equations defining periodic functions. 



Baker, H. F. Camb. Ph. S. P. 9 (1898) 



513-. 



671 



SOLUTION. 



Singularities. Beudon, J. C. E. 124 (1897) Systems of equations, 2. Didon, F. Par. EC. 



Norm. A. 6 (1869) 1-. 



. Ricci, G. A. Mt. 12 (* 1883-84) 



42-. 



parallel curves. Bukreiew, B. Fschr. 

 Mth. (1891) 404-. 



Theorem of Appell in conduction of heat, 



generalisation. Kobald, E. Wien Az. 31 



(1894) 22-. 

 Theory. Liouville, J. Par. Mm. Sav. Etr. 5 



(1838) 559-. 

 . Minich, S. R. Yen. At. 16 (1870-71) 



2097-. 

 . Cayley, A. [1876] Mth. A. 11 (1877) 



194-. 

 . Minich, S. R. Yen. I. Mm. 22 (1882) 



169-. 

 . Oster, B. Arch. Mth. Ps. 17 (1900) 



102-. 



of equations, 2nd order. Backlund, A. V. 

 [1878] Mth. A. 15 (1879) 39-. 



common to 2 equations, 2nd order with 2 



variables. Bianchi, L. Em. E. Ac. Line. 



Ed. 2 (1886) (Sem. 2) 218-, 237-, 307-. 

 -- 3 equations, 3rd order with 2 variables. 



Pennacchietti, G. Palermo Cir. Mt. Ed. 7 



(1893) 280-. 

 several equations with more than 2 



variables. Pennacchietti, G. Palermo Cir. 



Mt. Ed. 7 (1893) 273-. 

 --- linear equations. Liouville, R. C. E. 



101 (1885) 1134-. 

 definite integral, of linear equations. Russell, 



W. H. L. Camb. and Dubl. Mth. J. 9 (1854) 



112-. 

 of equations, 2nd order, with more than 2 



independent variables. Tanner, H. W. L. 



[1875] L. Mth. S. P. 7 (1875-76) 43-. 



, , n variables, when there is , . Goursat, E. C. E. 123 (1896) 



general first integral. Tanner, H. W. L. 



L. Mth. S. P. 7 (1875-76) 75-. 

 general. Moon, R. [1866] E. S. P. 15 (1867) 



306-. 

 of linear equations, 2nd order. Parseval, 



M. A. [1798] Par. Mm. Sav. Etr. 1 (1806) 



478-. 

 , . Tanner, H. W. L. [1875-76] 



Mess. Mth. 5 (1876) 53-, 153-. 

 , , with 2 independent variables. 



Moon, R. Ph. Mg. 40 (1870) 35-, 149. 

 method for equations having general first 



integral, application to equations of 3rd 



order with 2 independent variables. Tanner, 



680-. 

 , . Vivanti, G. Mil. I. Lomb. 



Ed. 29 (1896) 777-. 

 , general. Lie, S. Prace Mt.-Fiz. 7 (1896) 



69-. 

 Transformation of equations, 2nd order, with 



2 independent variables. Niccoletti, 0. Tor. 



Ac. Sc. At. 33 (1897) 716- or 956-. 

 , , . . Burgatti, P. 



Em. E. Ac. Line. Ed. 7 (1898) (Sem. 1) 



21-. 

 , , , and integrations 



deduced therefrom. Liouville, R. C. E. 97 



(1883) 836-. 



H. W. L. L. Mth. S. P. 8 (1876-77) 229-. Laplace's. Vivanti, G. Palermo Cir. Mt. 

 , general. Tanner, H. W. L. L. Mth. S. P. Ed. 14 (1900) 145-. 



9 (1877-78) 76-. 



, new. Greatheed, S. S. Ph. Mg. 11 (1837) 

 239-. 



, , for equations, 2nd order. Eastwood, G. 

 Des Moines Anal. 8 (1881) 154-. 



, particular, for linear equations, 2nd order. 

 Forsyth, A. R. Mess. Mth. 15 (1886) 44-, 

 64. 



methods of Lagrange and Monge. 

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



, symbolic. Gregory, D. F. Camb. Mth. J. 

 1 (1839) 123-. 



Monge's, of non-integrable equation in 3 



variables. Johnson, W. W. A. Mth. 4 



(1888) 156-. 

 of non-linear equations, 2nd order. M' Cowan, 



J. Edinb. Mth. S. P. 10 (1892) 63-. 

 singular, of equations with 3 variables. Weber, 



E. von. Mth. A. 46 (1895) 1-, 160. 



, and linear equations. Picard, E. C. E. 



107 (1888) 594-. 

 of linear equations, with constant coefficients, 



to fundamental forms. Earnsliaw, S. Ph. 



Mg. 35 (1849) 24-. 

 homogeneous equations with constant 



coefficients. Somigliana, C. A. Mt. 18 (1890) 



265-. 

 Watson, t 2nd order. Niccoletti, 0. Em. 



E. Ac. Line. Ed. 5 (1896) (Sem. 2) 94- ; Tor. 



Ac. Sc. At. 32 (1896) 530-, 708-, or 790-, 



970-. 



theory of * - rt = x ~ ' r ^ ' ' . Lie, M. S. 

 [1881] Arch. Mth. Ntvd. 6 (1882) 153-. 



of s* = 4tpqf(x, y). Goursat, E. Paf. S. Mth. 

 Bll. 28 (1900) 1-. 



Transformations. Stdckel, P. Crelle J. Mth. 

 114 (1895) 116-. 



374 



