Bertrand, J. Report on a memoir of Mr. Moutard concerning the theory of second order partial differential equations. (Rapport sur un Mémoire de M. Moutard rélatif à la théorie des équations différentielles partielles du second ordre.) (French) JFM 02.0321.02 C. R. LXX, 1068 (1870). Reviewer: Hamburger, Dr. (Berlin) MSC: 35L10 PDFBibTeX XMLCite \textit{J. Bertrand}, C. R. Acad. Sci., Paris 70, 1068 (1870; JFM 02.0321.02) Full Text: Gallica
Moutard Studies of the second order partial differential equations in two independent variables. (Recherches sur les équations aux dérivées partielles du second ordre à deux variables indépendantes.) (French) JFM 02.0321.01 C. R. 70, 834 (1870). MSC: 35L10 PDFBibTeX XMLCite \textit{Moutard}, C. R. Acad. Sci., Paris 70, 834 (1870; JFM 02.0321.01) Full Text: Gallica
Spitzer, Simon Integration of the partial differential equations \[ \frac{d^n z}{dx^n} = x^m \frac{d^{m+n} z}{dy^{m+n}} + F_1 (y) + x F_2 (y) + \cdots x^{m 1} F_m (y), \] where \(m\) and \(n\) are positive integers and \(F_1(y) F_2 (y) ... F_m (y)\) arbitrary functions of \(y\). (Integration der partiellen Differentialgleichung \[ \frac{d^n z}{dx^n} = x^m \frac{d^{m+n} z}{dy^{m+n}} + F_1 (y) + x F_2 (y) + \cdots x^{m-1} F_m (y), \] in welcher \(m\) und \(n\) ganze positive Zahlen und \(F_1(y) F_2 (y) ... F_m (y)\) beliebige Funktionen von \(y\) bedeuten.) (German) JFM 02.0179.02 Grunert Arch. LI, 499-506 (1870). Reviewer: Natani, (Berlin) MSC: 35C15 35G20 PDFBibTeX XMLCite \textit{S. Spitzer}, Grunert Arch. 51, 499--506 (1870; JFM 02.0179.02)
Moon, R. The solution of linear partial differential equations of the second order involving two independent variables. (English) JFM 02.0179.01 Phil. Mag. (4) XL, 35-41 (1870). MSC: 35C05 35G05 PDFBibTeX XMLCite \textit{R. Moon}, Phil. Mag. (4) 40, 35--41 (1870; JFM 02.0179.01)
Mylord, H. Solution of problem 267. (Lösning af Opgave 267.) (Danish) JFM 02.0169.02 Tychsen Tidsskr. (2) VI, 144 (1870). Reviewer: Hansen, P. C. V. (Kopenhagen) (transl. by Wangerin, Dr. (Berlin)) MSC: 34A05 PDFBibTeX XMLCite \textit{H. Mylord}, Tychsen Tidsskr. (2) 6, 144 (1870; JFM 02.0169.02)
Spitzer, S. A note on the integration of differential equations. (Note über die Integration von Differentialgleichungen.) (German) JFM 03.0143.01 Grunert Arch. LII, 1-15 (1870). Reviewer: Hamburger, Dr. (Berlin) MSC: 34A05 34A30 PDFBibTeX XMLCite \textit{S. Spitzer}, Grunert Arch. 52, 1--15 (1870; JFM 03.0143.01)