4840 



Partial Differential Equations, Integration 



application of differentio-differential relations. 

 SapoSnikov, N. A. Mosc. S. Sc. Bll. 73 

 (No. 2) (1891) 20-; Fschr. Mth. (1891) 398-, 



case. Zaremba, S. Par. EC. Norm. A. 7 

 (1890) 135-. 



cases. Christoffel, E. B. Gott. Nr. (1871) 

 435-. 



. Steen, A. (xn) Ts. Mth. 6 (1876) 69-. 



of class of equations. Duhamel, J. M. C. 

 C. E. 3 (1836) 638-. 



linear equations by definite integrals. 



Lie, M. S. [1881] Arch. Mth. Ntvd. 6 (1882) 

 328-. 



complete, of homogeneous equations, by ca- 

 nonical system of variables. Imshenetskil, 

 V. G. (xn) Kazan Un. Mm. 2 (1866) 5-. 



, linear equations, 2nd order, with con- 

 stant coefficients. Parseval, M. A. [1799] 

 Par. Mm. Sav. Etr. 1 (1806) 638-. 



, , , . Gruson, J. P. 



Berl. Ab. (1812-13) (Mth.) 23-. 



of equation of lines of curvature of ellipsoid. 

 Picart, A. N. A. Mth. 20 (1881) 145-. 



equations with constant coefficients by appli- 

 cation of multiple definite integral formula. 

 Tortolini, B. Tortolini A. 2 (1859) 260-. 



of hydrodynamics. Fontaneau, . As. 



Fr. C. E. (1899) (Pt. 2) 1-. 



isostatic cylinders. Boussinesq, J. 

 C. E. 74 (1872) 318- ; 77 (1873) 667-. 



, 2nd order. Weiler, A. Grunert Arch. 



33 (1859) 171-. 

 , . Graindorge, J. (x) Liege S. 



Sc. Mm. 5 (1873) No. 3, xn + 189 pp. 

 , . Picart, A. C. E. 78 (1874) 



882-. 

 , . Sonin, N. Y. (xii) Eec. Mth. 



(Moscou) 7 (1874-75) (Pt. 1) 285-; (xi) Bll. 



Sc. Mth. As. 10 (1876) 96-. 

 , . Gomes Teixeira, F. G. Teix. J. 



Sc. 2 (1880) 138- ; Brux. Ac. Bll. 3 (1882) 



486-; C. E. 93 (1881) 702- ; Par. S. Mth. 



Bll. 17 (1889) 125-. 

 , . Volterra, V. Em. E. Ac. Line. 



Ed. 1 (1885) 303-. 

 , . Beudon, J. C. E. 118 (1894) 



1188-. 

 , . Sonin, N. J. Mth. A. 49 (1897) 



417-. 



, , by Ampere's and Darboux's 

 methods. Rudzki,T. Prace Mt.-Fiz.8(1897) 

 99-; Fschr. Mth. (1897) 307. 



, , case. Nicolaldes, N. C. E. 81 



(1875) 216-, 365-. 



, , (Nicolaides). Bonnet, 0. 

 C. E. 81 (1875) 259-. 



, , class. Graindorge, J. Liouv. J. 



Mth. 17 (1872) 426-. 

 , , classes. Turquan, L. V. Brux. 



S. Sc. A. 8 (1884) (Pt. 2) 314-. 

 , , no intermediary integral. For- 



syth, A. R. [1897] Phil. Trans. (A) 191 



, , in 2 independent variables. 

 Turquan, L. V. C. E. 92 (1881) 1200-. 



1 , , class. Picart, A. 



C. E. 97 (1883) 305-. 



4840 



of equations, 2nd and higher orders. Pellet, 



A. E. C. E. 89 (1879) 92-. 

 , 4th order, class. Vaccaro, A. Bll. Sc. 



Mth. 22 (1898) 37-. 

 , higher orders. Raabe, J. L. Baum- 



gartner Z. 7 (1830) 159-. 

 , . Preobrazhenskil, V. V. [1873] 



(xn) Eec. Mth. (Moscou) 7 (1874-75) (Pt. 1) 



215-. 

 , nth order. Fabre, A. As. Fr. C. E. 



(1895) (Pt. 2) 136-. 

 , , one dependent, and 2 independent 



variables. Falk, M. [1871] Ups. N. Acta 



S. Sc. 8 (1873) .No. 5, 40 pp. 

 with periodic coefficients, system. Potier, 



A. As. Fr. C. E. 1 (1872) 255-. 

 finite, of linear equations with constant coeffi- 

 cients. Earnshaw, S. Ph. Mg. 2 (1876) 47-. 

 general and complete, of two equations in 



hydromechanics. Parseval, M. A. [1803] 



Par. Mm. Sav. Etr. 1 (1806) 524-. 

 of general linear equation, 2nd order. Moon, 



E. Ph. Mg. 35 (1868) 118-, 219-. 



linear equations. Poisson, S. D. Liouv. 

 J. Mth. 3 (1838) 615-. 



. Borel,E. Bll. Sc. Mth. 19 (1895) 122-. 



. Le Roux, J. Liouv. J. Mth. 6 



(1900) 387-. 

 by calculus of residues. Tortolini, B. 



G. Arcad. 93 (1842) 3-; 94 (1843) 58-; 95 



(1843) 3-. 

 with coefficients constant. Vasclnj, 



. C. E. 116 (1893) 491-. 

 variable. Timmermans, J. A. 



Brux. Ac. Sc. Mm. 28 (1854) 10 pp. 



, discriminant not zero. Le Roux, J. 

 C. E. 130 (1900) 695-. 



, Monge and Lagrange's methods. 

 Walton, W. Camb. Mth. J. 3 (1843) 269-. 



, 2nd order, with negative character- 

 istics. Le Roy, . C. E. 122 (1896) 367-. 



, , 4 or more independent 



variables. Fais, A. Bologna Ac. Sc. Mm. 

 3 (1881) 427-. 



, , r variables. Falk, M. 



Ts. Mt. Fys. 4 (1871) 230-. 



, and 3rd orders. Plana, G. [1809] 



Turin Mm. Ac. (1809-10) (pte. 2) 156-. 



, higher orders. Grave, D. A. Fschr. 



Mth. (1899) 332. 



, , extension of Eiemann's method 



to. Bianchi, L. Em. E. Ac. Line. Ed. 4 

 (1895) (Sem. 1) 8-, 89-, 133-. 



, , . Niccoletti, 0. 



Em. E. Ac. Line. Ed. 4 (1895) (Sem. 1) 330-. 



with 3 variables. Frischauf, J. 

 Wien Sb. 51 (1865) (Ab. 2) 317-. 



and partial differential equations. Curtis, 



A. H. Camb. and Dubl. Mth. J. 9 (1854) 

 272-. 



method. Bottomley, J. Manch. Lt. Ph. S. 

 Mm. & P. 7 (1893) 78-. 



, Darboux's, for equations, 2nd order. 

 Goursat, E. C. E. 120 (1895) 542-. 



, , non-linear equations, 2nd order. 

 Speckman, H. A. W. Amst. Ak. Vs. M. 9 

 (1892) 441- ; Arch. Neerl. 27 (1894) 303-. 



372 



