4850 Theory of Ordinary Linear Differential Equations 4850 



of equation in perturbations. Motoda, T. As. 

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equations with constant coefficients. Gregory, 



D. F. (vi Adds.) Camb. Mth. J. 1 (1839 

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, 2nd order, with linear coefficients. Graf, 



J. H. Mth. A. 45 (1894) 235-. 

 , , product of two. Besso, D. Em. 



E. Ac. Line. Mm. 19 (1884) 219-. 



, 3rd and 4th orders, relations between. 



Campbell, D. F. N. Y. Am. Mth. S. fill. 5 



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 expression of arbitrary constant in terms of 



initial conditions. Eouth, E. J. QJ. Mth. 



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history. Enestrom, G. Bb. Mth. (1897) 43-. 

 integral rational, of equation, 2nd order. 



Berger, A. Ups. S. Sc. N. Acta 15 (1895) 



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 periodic. Bendixson, I. Stockh. Ofv. (1896) 



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 representation near singular point. Griinfeld, 



E. Z. Mth. Ps. 36 (1891) 21-. 

 second special, of equation, 2nd order. Hoppe, 



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 in series. Hammond, J. L. Mth. S. P. 6 (1874- 



75) 67-. 



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by symbols. Graves, C. Ir. Ac. P. 3 (1847) 



536. 

 synthetic, and deformation. Cockle, (Sir) Jas. 



QJ. Mth. 23 (1889) 1-. 

 of system of equations. Gilnther, S. Arch. 



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Sturm's "theorem of comparison." Bocher, 

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. Zaremba, S. Liouv. J. Mth. 3 



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System of (2) equations of which the one gives 

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simultaneous equations. Meray, C. C. 



E. 81 (1875) 1203-. 



Systems of equations identical with their ad- 

 joint. Goursat, E. C. E. 106 (1888) 187-. 



, 1st order. Koch, H. von. C. E. 116 



(1893) 179-. 



, , admitting only regular solu- 

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with 1 independent variable. Horn, 



J. Mth. A. 39 (1891) 391- ; 40 (1892) 527-. 



formed from equations with 1 independent 

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 596-. 



of homogeneous equations. Sauvage, L. 

 Toul. Fac. Sc. A. 8 (1894); 9 (1895) 100 + 

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Systems of simultaneous equations, class. 



Ibach, L. F. N. A. Mth. 3 (1884) 172-. 

 , (Ibach). Tardy, P. N. A. 



Mth. 3 (1884) 257-. 

 Theorem. Russell, W. H. L. B. A. Ep. (1879) 



263. 

 . Darboux, G. C. E. 94 (1882) 1456-. 



of Fuchs, point in Jordan's proof. Gerbaldi, 



F. Ev. Mt. 1 (1891) 125-. 



Malmsten. Joachimsthal, F. Crelle J. 



40 (1850) 48-. 

 Theorems. Besso, D. Em. E. Ac. Line. Mm. 



10 (1881) 252-. 



. Bocher, M. N. Y. Am. Mth. S. Bll. 6 



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 Theory, analytical, of phenomena depending 



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L. F. Tortolini A. 6 (1855) 363-. 

 Transcendental equation and equations, 2nd 



order, with periodic coefficients. Liapounoff, 



A. C. E. 128 (1899) 1085-. 



functions arising from linear differential 

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Transformation. Bronwin, B. Mathematician 



3 (1850) 9-. 



. Appell, P. C. E. 91 (1880) 211-. 

 . Pincherle, S. Mil. I. Lomb. Ed. 25 (1892) 



633-. 



of a biordinal of Schwarz. Cockle, (Sir) 

 Jas. Mess. Mth. 11 (1882) 49-. 



, case. Cayley, A. Ph. Mg. 23 (1862) 266-. 



of equation, any order. David, . Par. 

 S. Mth. Bll. 12 (1884) 36-. 



groups. Picard, E. C. E. 96 (1883) 1131- ; 

 119 (1894) 584-. 



in simultaneous equations. Heymann, W. 

 Crelle J. Mth. 98 (1885) 241- 



Transformations, algebraic groups, and equa- 

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of equation with constant coefficients, by 

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G. Teix. J. Sc. 2 (1880) 183- ; (xn) Ts. Mth. 

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, formula of Halphen. Torelli, G. Nap. Ed. 



29 (1890) 233-. 

 , group, determination. Harotte, F. C. E. 



124 (1897) 608-. 



of ordinals, new. Cockle, (Sir) Jas. Ph. 

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, rational. Goursat, E. Par. EC. Norm. A. 



2 (1885) 37-. 

 Transformed equation, Euler's. Pincherle, S. 



Crelle J. Mth. 119 (1898) 347-. 

 , , of homogeneous equations of Fuchs' s 



class. Schlesinger, L. Crelle J. Mth. 117 



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 (D + a) n y = X. De Morgan, A. Camb. Mth. 



J. 4 (1845) 60-, 96. 



^M.= y Besge,V.A. Liouv. J. Mth. 



11 (1846) 96. 



y" + -y' + ny = 0. Lebesgue, V. A. Liouv. J. 

 Mth. 11 (1846) 338-. 



387 



