5630 



Differential Equations of Physics. General 



5630 



Equilibrium of fluids, studies on Green's work. 



Biittner, F. Leip. Jablon. Preisschr. 36 



(1900) 98 pp. 

 Existence proofs for potential in plane and in 



space. Harnack, A. Leip. Mth. Ps. B. 38 



(1886) 144-. 



Function Z (x, y, z), applications to mathe- 

 matical physics. Appell, P. Acta Mth. 8 



(1886) 265-. 

 Functions of Laplace and Bessel, expression of 



velocity potential by. McMahon, J. N. Y. 



Am. Mth. S. Bll. 2 (1896) 173-. 



satisfying equation VF=0. Appell, P. C. E. 

 96 (1883) 368-. 



of 3 variables satisfying equation V 2 .F=0. 

 Appell, P. Acta Mth. 4 (1884) 313-. 



General equations of dynamical problems, 

 particular integrals, use when general inte- 

 gration is impossible. Barnard, J. G. Am. 

 As. P. 25 (1876) 49-. 



Green's function. Eicci, G. Ven. I. At. 

 (1884-85) 1439-. 



Huygens' principle, demonstration. Tedone, 0. 

 Km. E. Ac. Line. Ed. 5 (1896) (Sem. 1) 357-, 

 483. 



Integral of Laplace's equation in finite terms. 

 Earnshaic, S. B. A. Kp. (1880) 486-. 



i 



(l-a?)y'ds ; 



in theory of heat. Ivory, J. 



?h. Mg. 1 (1827) 324-. 



. Poisson, S. D. Ph. Mg. 2 



(1827) 11-. 



Integrals of differential Aquations, calculation 

 by Cauchy-Lipschitz method. Painleve, P. 

 C. E. 128 (1899) 1505-. 



partial differential equations, form. 

 Poisson, S. D. Par. S. Phlm. Bll. (1817) 180-. 



Kirchhoff's diffusion equations, reduction. 



Farkas, G. Mth. Termt. E 



Mth. Nt. B. Ung. 16 (1899) 97-. 

 Laplace's double equation, integration. Al- 



mansi, E. Em. E. Ac. Line. Ed. 9 (1900) 



(Sem. 1) 298-. 



equation. Boole, G. B. A. Ep. (1845) 

 (pt. 2) 2 ; Camb. and Dubl. Mth. J. 1 (1846) 

 10-. 



. Carmichael, E. Ir. Ac. P. 6 (1853) 



216-. 

 . Donkin, W. F. [1856] Phil. Trans. 



(1857) 43-. 

 , and analogues. Carmichael, E. Camb. 



and Dubl. Mth. J. 7 (1852) 126- ; Ph. Mg. 6 



(1853) 273-. 

 , quaternion integration. PreobraZenskij, 



V. V. Kazan S. Nt. (Ps.-Mth.) P. 2 (1884) 



46-; Fschr. Mth. (1884) 308-. 

 , most general solution of given degree. 



Hobson, E. W. L. Mth. S. P. 26 (1895) 



492-. 

 in toroidal coordinates, solution by method 



of imaginary inversion. Safford, F. H. A. 



Mth. 12 (1898-99) 27-. 



, transformations leading to new solu- 

 tions. Forsyth, A. E. L. Mth. S. P. 29 

 (1898) 165-. 



extended equation V 2 V 2 = 0, integration. 

 Lauricella, G. Ven. I. At. (1898) 236-. 



Linear equations occurring in mathematical 

 physics. Macfarlane, A. Am. As. P. (1897) 

 54. 



partial differential equations. Jarisch, P. 

 Hamb. Mth. Gs. Mt. 2 (1890) (Festschr., Tl. 2) 

 110-. 



, especially general equation of 

 motion of elastic fluids, integration. Pois- 

 son, S. D. Par. Mm. Ac. Sc. 3 (1818) 

 121-. 



relative to motion of heat in solids, 



integration. Pagani, G. M. Brux. Ac. Sc. 



Mm. 8 (1834) 32pp. 

 Maxwell's theory of electricity, mathematically 



considered. Planck, M. D. Mth. Vr. Jbr. 7 



(1899) (Heft 1) 77-. 



Molecular motion in gases, integration of equa- 

 tions. Boltzmann, L. [1876] Wien Ak. Sb. 



74 (1877) (Ab. 2) 503-. 

 Operator V 2 , properties. Haton de la Goupil- 



liere, . Brux. S. Sc. A. 9 (1885) (Pt. 2) 



151-. 

 Partial differential equations of mathematical 



physics. Poincare, H. Am. J. Mth. 12 



(1890) 211-. 



, solutions, multiform. 

 Carslaw, H. S. [1898] L. Mth. S. P. 30 

 (1899) 121-. 



, , simple. Mathieu, E. L. 



Liouv. J. Mth. 5 (1879) 5-. 

 , 4th order, VVw = 0. Mathieu, E. 



Liouv. J. Mth. 14 (1869) 378-. 

 , systems, integration. Cauchy, A. L. 



C. E. 13 (1841) 1-. 

 and vibrating surfaces. Biot, J. B. 



Par. Mm. de PI. 4 (1802) 21-. 

 of small vibrations of elastic bodies, 



integration. Ostrogradsky, M. A. [1832] 



Ostrogradsky, M. A. [1829] St Pet. Ac. Sc. 



Mm. 1 (1831) 455-. 

 Polynomials, conjugate, class. Deruyts, J. 



Brux. Mm. Cour. 4, 48 (1886) No. 3, 



20 pp. 

 Potential function, 3rd derivative. Pad, P. 



Genova Un. At. [11] (1892) 593-. 

 theory. Dyck, W. Munch. Ak. Sb. 25 



(1896) 261-, 447-; 28 (1899) 203-. 

 Schwarz's integrals of functions given by 



V 2 F i+1 + F i = 0. Andrade, . Par. S. Mth. 



Bll. 22 (1894) 50-. 



'(4) 



Solution of - + etc. = 47r/>, theorems. 



Thomson, (Sir) W. Camb. and Dubl. Mth. 



J. 3 (1848) 84-. 



Stationary temperatures. Lauricella, G. Pa- 

 lermo Cir. Mt. Ed. 11 (1897) 189-. 

 Successive divergent approximations, example. 



Picard, E. Par. S. Mth. Bll. 28 (1900) 137-. 

 Transformation, application of Dirichlet's 



method. Meyer, F. Mth. A. 26 (1886) 



509-. 

 Uniform functions F satisfying V 2 F=0. Mit- 



tag-Leffler, G. As. Fr. C. E. (1888) (Pt. 1) 



153. 



405 



