4870 Non-linear Differential Equations of First Order 



Integrals, character. Fuchs, L. Berl. Ak. Sb. 



(1885) 5-. 



, form near critical points. Picard, E. 



Par. S. Mth. Bll. 12 (1884) 48-. 

 , monogeneity. Bugaev, N. V. Kharkov 



Mth. S. Com. 5 (1896?) 89-; Fschr. Mth, 



(1896) 258. 

 , multiform. Vivanti, G. A. Mt. 19 (1891- 



92) 29-. 

 , particular. Cockle, (Sir) J. [1874] QJ. 



Mth. 13 (1875) 239-. 



, rational. Painleve, P. C. B. 110 (1890) 34-. 

 , singular. Boon, A. J. Leijd. A. Ac. 



(1829-30) 66 pp. 

 , , criteria for. Veltmann, W. Arch. Mth. 



Ps. 58 (1876) 337-. 



of system of equations, nature. Cauchy, 

 A. L. C. E. 40 (1855) 376-. 



total algebraic differentials. Cayley, A. 



Bll. Sc. Mth. 10 (1886) 75-. 



of 1st kind, Pdx+Qdy; 



f(x, y, z) = 0. Picard, E. Liouv. J. Mth. 



I (1885) 281-. 



differentials of 2nd kind, 



Pdx+Qdy; f(x, y, z)=0. 

 Picard, E. C. E. 101 (1885) 734-; 102 



(1886) 250- ; Liouv. J. Mth. 2 (1886) 329 

 (bis)-. 



Integrating factor. Laguerre, E. Par. S. Mth. 

 Bll. 6 (1878) 124-. 



. Stodoikiewicz, A. J. Krk. Ak. (Mt.- 

 Prz.) Ez. 7 (1895) 131- ; Crc. Ac. Sc. Bll. 

 (1893) 183-. 



. , and form of integral of homogeneous 



equation of 1st order. Aleksyeev, N. N. (xn) 



Eec. Mth. (Moscou) 3 (1868) (Pt. 1) 260-. 

 Integration. Weyr, E. [1875] Prag Ab. 8 



(1877) (Mth.) 43 pp. 

 . La Vallee. Poussin, C. J. de. Brux. Mm. 



Cour. 8, 47 (1892-93) No. 6, 82 pp. 

 . Olearski, K. Krk. Ak. (Mt.-Prz.) Ez. 6 



(1893) 131-, 434-; Crc. Ac. Sc. Bll. (1892) 



371-. 

 , algebraic, of equations of 1st degree. 



Poincare, H. Palermo Cir. Mt. Ed. 11 (1897) 



193-. 



of algebraic equations of 1st degree by linear 

 functions. Casorati, F. Mil. I. Lomb. Ed. 



II (1878) 804-. 



class of simultaneous equations. La- 

 guerre, E. (x) Par. S. Phlm. Bll. 6 (1869) 

 49-. 



equations of 1st degree, theory. Steen,A. 



Kjob. Ov. (1864) 45-. 

 not of 1st degree. Yanlshevskil, E. P. 



[1867] (xn) Kazan Un. Mm. 3 (1866) 149-. 

 with rational coefficients of 2nd degree. 



Winckler,A. WienSb. 64 (1871) (Ab. 2) 247-. 



in several variables, complete in- 

 tegral of which is single primitive equation. 

 Minich, S. E. Yen. At. (1855-56) 794-. 



a generalised Eiccati's equation by con- 

 tinued fractions. Zimmerman, V. N. Es. 

 S. Nt. Mm. (Mth.) 10 (1889) 1- ; Fschr. 

 Mth. (1890) 325. 



, method. Mainardi, G. [1848] Mod. S. It. 

 Mm. 24 (1850) 218-. 



4870 



Integration, method of greatest and least ex- 

 ponents, additions to theory. Mazing, A. A. 

 [1892] Eec. Mth. (Moscou) 16 (1893) 356-; 

 Fschr. Mth. (1892) 280. 



of Qdx + Py 2 dxdy = 0. Lorgna, A. M. 

 Verona S. It. Mm. 3 (1786) 220-. 



,P and Q being known f unc- 

 tions of x and y. Tychsen,C. (xn) Ts. Mth. 

 2 (1866) 17-. 



A(-dy) + Bdx + C (xdy-ydx) = 0. 

 Mansion, P. [1876] Mess. Mth. 6 (1877) 84-. 



Last multiplier of system of equations. Winck- 



ler, A. [1880] Wien Ak. Sb. 82 (1881) 



(Ab. 2) 628-. 

 Node- and cusp-loci enveloped by tangents at 



the cusps. Hill, M. J. M. L. Mth. S. P. 



22 (1891) 216-. 

 Non-linear equations, cases. Liouville, R. 



Par. EC. Pol. J. 57 (1887) 189-. 

 Polycritical points of equations of 1st degree. 



Autonne, L. Lyon Un. A. 3 (Fuse. 1) (1892) 



120 pp. 

 Primitive equations of derivatives of 1st order. 



Hachette, J. N. P. (vi Adds.) Par. EC. Pol. 



J. 5 (1804) 318-. 

 Eeciprocal lines and surfaces. Bacaloglo, E. 



Grunert Arch. 36 (1861) 1-. 

 Eeciprocity law between two solutions. Cauchy, 



A. L. C. E. 15 (1842) 200-. 

 Seduction to form udu + (R + Su) d<f> = 0. Gas- 



paris, A. de. Nap. Ed. 7 (1848) 301-. 



- linear form, with reference to derivative 

 of unknown function. Halphen, G. H. C. E. 

 87 (1878) 741-. 



Eiccatian equations. Florov, P. S. Kharkov 



Mth. S. Com. (1884) 5- ; Fschr. Mth. (1884) 



289. 

 .cognate. Raivson, R. [1877] Mess. Mth. 



7 (1878) 69-. 

 , higher order. Wallenberg, G. Crelle J. 



Mth. 121 (1900) 196-. 



Riccati's equation. 



Liouville, J. [1833-40] Par. EC. Pol. J. 



22 cah. (1833) 1- ; Liouv. J. Mth. 6 (1841) 1-. 

 Lommel, E. Grunert Arch. 40 (1863) 101-. 

 Hargreave, C. J. [1865] QJ. Mth. 7 (1866) 



256-. 



Cayley, A. Ph. Mg. 36 (1868) 348-. 

 Catalan, E. C. Brux. Ac. Bll. 31 (1871) 68-. 

 Glaisher, J. W. L. QJ. Mth. 11 (1871) 267-. 

 Genocchi, A. C. E. 85 (1877) 391-. 

 Meech, L. W. A. Mth. 1 (1884-85) 97-. 

 Fields, J. C. [1886] J. H. Un. Cir. [6] (1886- 



87) 29. 



Cockle, (Sir) J. L. Mth. S. P. 18 (1886-87) 180-. 

 Meech, L. W. A. Mth. 3 (1887) 47-. 

 algebraic integrals. Autonne, L. C. E. 128 



(1899) 410-. 

 , nature. Autonne, L. C. E. 96 (1883) 



1354-. 

 analogues. Brassinne, E. Toul. Mm. Ac. 4 



(1848) 234- ; Liouv. J. Mth. 16 (1851) 255-. 

 . Sincov, D. Kazan S. Ps.-Mth. Bll. 4 



(1895) 1-; Fschr. Mth. (1893-94) 567. 



390 



