4840 Partial Differential Equations. Second and Higher Orders 4840 



Change of variables, equations, 2nd order. 



Bounsinesq, J. C. E. 74 (1872) 730-. 

 Characteristics. Beudon, J. Par. S. Mth. Bll. 



25 (1897) 108-. 



of equations, 2nd order, theory. Bdcklund, 

 A . V. Mth. A. 13 (1878) 411-. 



in 3 variables. Weber, E. von. Mth. 

 A. 47 (1896) 229-. 



, and Huygens' principle. Coulon, J. C. E. 

 130 (1900) 1064-. 



of linear equations, 2nd order, with constant 

 coefficients. Coulon, J. Bordeaux S. Sc. 

 PV. (1899-1900) 24-. 



, theory. Goursat, E. C. E. 126 (1898) 

 1332-. 



Equations. 



Falk, M. (xn) Ts. Mth. 5 (1881) 97-. 

 Moutard, T. Par. EC. Pol. J. 64 (1894) 55-. 

 Nekrasov, P. A. Eec. Mth. (Moscou) 18 (1896) 



468-; Fschr. Mth. (1896) 271, 272. 

 Duport, H. Liouv. J. Mth. 6 (1900) 41-. 

 and bilinear systems. Weber, E. von. Miinch. 



Ak. Sb. 29 (1900) 231-. 

 cases. Glaisher, J. W. L. B. A. Ep. (1882) 



454-. 



. Picard, E. C. B., 116 (1893) 454-. 

 . Jamet, V. Par. EC. Norm. A. 13 (1896) 



95-. 

 . Goursat, E. Par. S. Mth. Bll. 25 (1897) 



36-. 



. Schi/, P. A. Fschr. Mth. (1899) 332. 

 , exceptional. Cockle, (Sir) J. L. Mth. S. 



P. 10 (1878-79) 105-. 



class. Fredholm, I. C. E. 129 (1899) 32-. 

 . Lauricella, G. A. Mt. 4 (1900) 281-. 

 , invariants of which are equal. Guichard, 



C. Par. EC. Norm. A. 7 (1890) 19-. , 

 , 3 variables. Poisson, S. D. Par. EC. Pol. 



Cor. 2 (1809-13) 410-. 

 in conduction of heat. Liouville, J. Liouv. 



J. Mth. 1 (1836) 33-. 

 with constant coefficients and non-analytic 



functions. Borel, E. C. E. 121 (1895) 



933-. 

 and definite integrals. Sarrus, F. Gergonne 



A. Mth. 12 (1821-22) 254-. 

 with equal characteristics. Kiirschak, J. Mth. 



A. 37 (1890) 317-. 

 to a family of envelopes. Walton, W. Camb. 



Mth. J. 4 (1845) 152-. 



of form - = zf (xy) , classes, 2 special. 



Medolaghi, P. G. Mt. 35 (1897) 267-. 

 group. Bohlin, K. Stockh. Ofv. (1887) 333-. 

 integrable without use of arbitrary functions 



under the sign / . Pistoye, de. C. E. 



78 (1874) 1102-. 

 of light vibrations. Brill, A. [1868] Mth. 



A. 1 (1869) 225-. 



linear. Appell, P. C. E. 90 (1880) 296-, 731-. 

 . Petot, A. C. E. Ill (1890) 522-. 

 . Delassus, E. Par. EC. Norm. A. 13 (1896) 



339-. 

 . Le Eoux, J. Liouv. J. Mth. 4 (1898) 



359-. 



linear. Vesnot, E. C. E. 128 (1899) 544-. 

 , cases. Darboux, G. G. E. 95 (1882) 69-. 



, . Holmgren, E. Ups. Arsk. (1897) (Mt. 



Nt.) 33 pp. ; Fschr. Mth. (1898) 314-. , 

 , with characteristics real. Delassus, E. C. 



E. 119 (1894) 40-; Par. EC. Norm. A. 12 



(1895) (Suppl.) 53-. 



, class. Picard, E. C. E. 107 (1888) 476-. 

 , . Koch, H. von C. E. 121 (1895) 517-. 

 , . Drach, J. Bll. Sc. Mth. 21 (1897) 140-. 

 , with analytic integrals. Picard, E. C. 



E. 121 (1895) 12-. 

 t with constant coefficients and last term 



variable. Cauchy, A. L. [1822] Par. EC. 



Pol. J. 19 e cah. (1823) 510-. 

 , 3rd degree. Trembley, J. [1798] St Pet. 



Ac. Sc. N. Acta 13 (1802) 101-. 

 , and their germ integrals. Earnshaw, S. 



[1874] Camb. Ph. S. P. 2 (1876), 360-. 

 , Laplace's method. Goursat, E. C. E. 



122 (1896) 169-. 



, system. Horn, I. Acta Mth. 12 (1889) 113-. 

 , , characteristic surface corresponding to. 



Cauchy, A. L. C. E. 13 (1841) 184-. 

 , with 2 independent variables. Darboux, G. 



C. E. 105 (1887) 199-. 



2nd order. 



Darboux, G. Par. EC. Norm. A. 7 (1870) 163-. 

 Mainardi, G. Em. At. N. Line. 26 (1873) 79-. 

 Poenisch, E. Santiago de Chile Un. A. 82 



(1892) 675-. 



Stouff, X. C. E. 118 (1894) 1320. 

 Child, M. Tor. Ac. Sc. At. 30 (1895) 494- ; 



31 (1895) 400- or 568-. 

 Goursat, E. C. E. 120 (1895) 712-. 

 Koch, H. von. Stockh. Ofv. (1895) 721-. 

 Dini, U. Em. E. Ac. Line. Ed. 5 (1896) (Sem. 



2) 381-, 421- ; 6 (1897) (Sem. 1) 5-, 45-; 



Em. E. Ac. Line. Mm. 3 (1899) 33-. 

 Foray th, A. E. [1897] Camb. Ph. S. T. 16 



(1898) 191-. 



Dixon, A.C. B. A. Ep. (1899) 646. 

 Goursat, E. Toul. Fac. Sc. A. 1 (1899) 31-, 



439-. 



admitting an infinite group of point trans- 

 formations. Medolaghi, P. A. Mt. 1 (1898) 



229-. 

 bilinear, geometrical interpretation. Egoroic, 



D. T. Fschr. Mth. (1898) 306. 



case. Tonelli, A. Em. E. Ac. Line. Ed. 4 



(1888) (Sem. 2) 384-. 



J Weingarten, J. C. E. 116 (1893) 493-. 

 characteristics, coalescence of 2 systems. 



Weber, E. von. C. E. 124 (1897) 1215-. 

 __ t _-. Goursat, E. C. E. 124 



(1897) 1294-. 

 with characteristics real. Coulon, J. C. E. 



128 (1899) 1386-. 

 class. Stephan, E. Par. EC. Norm. A. 3 (1866) 



. 'Bdcklund, A. V. Erlang. Ps. Md. S. Sb. 



8 (1876) 112-. 

 . Picard, E. Palermo Cir. Mt. Ed. 5 (1891) 



308-. 



VOL. I. 



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