4800 



Differential Equations. General 



4800 



Integrals, various kinds, of a system. Cauchy, 



A.L. C. E. 23 (1846) 729-. 

 Integrating factor. Anisimov, V. A. [1895] 



Vars. S. Nt. Tr. (1895-96) (C. R., Ps. C.) 



No. 2, 2-. 

 Integration by approximation. Kramp, C. 



Gergonne A. Mth. 10 (1819-20) 317-, 361-. 

 , form of arbitrary constants. Brinkley, J. 



[1817] Ir. Ac. T. 13 (1818) 53-. 

 , general problem. Riquier, . C. E. 116 



(1893) 426-. 



, , reduction. Riquier, . C. E. 124 



1897) 490-. 



by series. Picard,E. C. E. 124 (1897)214-. 

 , solution of algebraic equations by. Hey- 



mann, W. Z. Mth. Ps. 31 (1886) 102-, 129-. 

 Invariant operations admitting of permutation. 



Capelli, A. Nap. Ac. At. 1 (1888) No. 1, 



17 pp. 

 Linear differential and difference equations, 



theory, and relations to theory of algebraic 



equations. Libri, G. Liouv. J. Mth. 1 



(1836) 10-. 



March of functions denned by differential equa- 

 tions. Borel, E. C. E. 128 (1899) 490-. 

 Monge's equation and its application to conies. 



Mukhopadhyay, A. Beng. As. S. P. (1888) 



74-, 165-. 

 of all conies. Mukhopadhyay, A. [1887] 



Beng. As. S. J. 56 (Ft. 2) (1888) 134-. 



, geometric interpretation. 

 Mukhopadhyay, A. Nt. 38 (1888) 173, 564-. 



, (Mukhopadhyay). 

 Howard?], R. B. Nt. 38 (1888) 197, 619. 



, . Mukhopadhyay, A. 



[1888] Beng. As. S. J. 58 (Ft. 2) (1890) 181-. 



, geometry. Lie, S. Leip. Mth. Ps. B. 



50 (1898) (Mth.) 1-. 



Monodromic and monogenic integrals. Cauchy, 

 A.L. C. E. 40 (1855) 511-. 



Motion of particle, integrals that are linear 

 (fractional) functions of velocities. Vivanti, 

 G. Palermo Cir. Mt. Ed. 6 (1892) 127-. 



"Numerical" differential equations, integra- 

 tion. Ldska, W. Prag Sb. (1897) (Mth.- 

 Nt.) No. 35, 10 pp. 



Operators in connection with symmetric func- 

 tions. Lachlan, R. L. Mth. S. P. 18 (1886- 

 87) 39-. 



Order of a system. Jordan, M. E. C. (xii) 

 Brux. S. Sc. A. 7 (1883) (Ft. 2) 127-. 



Ordinary and partial differential equations, in- 

 tegration by separation of operative symbols. 

 Grelle, F. Z. Mth. Ps. 15 (1870) 297-. 



Partial differential equation of quadric surface. 

 Scherck, . [1883] Brem. Ab. 8 (1884) 366-. 



equations, application of calculus of 

 generalisation. Oltrainare, G. As. Fr. C. E. 

 (1889) (Ft. 2) 145-. 



, problems leading to. Heine, H. E. 



Crelle J. 26 (1843) 185-. 

 Particular solution, relation between constants 



and those in the coefficients of the differential 



equation. Dillner, G. C. E. 92 (1881) 



1498- ; 93 (1881) 46-. 



solutions. Poisson, S. D. Par. EC. Pol. J. 

 13 e cah. (1806) 60-. 



Particular solutions. Hansen, C. (xn) Ts. Mth. 



5 (1869) 119-. 

 (Hansen). Zeuthen, H. G. (xn) Ts. 



Mth. 5 (1869) 154- ; 6 (1870) 33-. 

 Problems of differential calculus. Brown, D. 



W. Franklin I. J. 44 (1897) 348-. 

 Eeciprocity. Orlov, T. E. (xn) Eec. Mth. 



(Moscou) 3 (1868) (Pt. 1) 167-. 

 Eeduction of any system to a linear and inte- 



grable form of 1st order. Riquier, . C. 



E. 116 (1893) 866- ; Par. EC. Norm. A. 10 



(1893) 359-. 

 system to partial differential equations in 



half as many variables. Painvin, L. C. E. 



44 (1857) 787-. 

 Boots of algebraic equations, deduced from 



integration of linear or simultaneous dif- 

 ferential equations. Raabe, J. L. Ziir. Mt. 



2 (1850-52) 248-. 

 Separation of variables. Piani, D. Bologna 



Mm. Ac. Sc. 4 (1853) 329-. 

 Simultaneous equations. Mackenzie, M. Mess. 



Mth. 5 (1871) 247-. 



, class, analogous to Lagrange's perturba- 

 tion theorem. Brassinne, E. Liouv. J. Mth. 



16 (1851) 283-. 



with continuous transformation groups. 

 Zindler, K. Mh. Mth. Ps. 11 (1900) 289-. 



, general integrals of certain systems. 

 Zejliger, D. Kazan Un. Mm. (1897) (Pt. 1, 

 Non-off. Sect.) 69-; Fschr. Mth. (1897) 

 295-. 



, integrating factors. Laurent, H. N. A. 



Mth. 19 (1880) 153-. 



, integration. Gregory, D. F. Camb. 

 Mth. J. 1 (1839) 173-. 



, . Painvin, L. C. E. 47 (1858) 

 693-. 



, of a class. Bonnet, 0. C. E. 53 



(1861) 971-. 



, number of arbitrary constants in com- 

 plete solution. Nanson, E. J. [1876] Mess. 

 Mth. 6 (1877) 77-. 



with one parameter. Severini, C. Mil. 



I. Lomb. Ed. 33 (1900) 825-. 



t roots of fundamental determinant. 

 Method of multipliers. Routh, E. J. L. 

 Mth. S. P. 14 (1882-83) 144-. 



, singular points. Wigert, S. Stockh. 

 6'fv. (1899) 697-; (1900) 47-. 



, system. Webb, R. R. [1879] Mess. 



Mth. 9 (1880) 6-. 

 , theorems, demonstration. Lindelof, E. 



Liouv. J. Mth. 6 (1900) 423-. 

 , theory. Anisimov, V. A. [1895] Vars. 



S. Nt. Tr. (1895-96) (C. R., Ps. C.) No. 3, 



2-. 

 _ _ of type 2Xdx=Q. Biermann, O. Z. 



Mth. Ps. 30 (1885) 234-. 



linear equations. Tilly, J. de. Mathesis 

 5 (1885) 121-. 



system, singular solutions, derivation from 

 equations themselves. Mayer, A. C. G. 

 Mth. A. 22 (1883) 368-. 



dx dy dz 

 = y- = , singular points. Poincare, 



H. C. E. 94 (1882) 416-. 



355 



z2 



