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Topics in Analysis pp 221–231Cite as

On partial differential equations of first order

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 419))

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Bibliography

  1. Kamke, E.: Über die partielle Differentialgleichung f(x,y) ∂z / ∂x+g(x,y) ∂z / ∂y=h(x,y).-Math. Z. 41, 1936, pp.56–66.

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  2. Kaplan, W.: Regular curve-families filling the plane, I.-Duke Math. J. 7, 1940, pp. 154–185.

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  6. Kaplan, W.: Analytic ordinary differential equations in the large.-In: Proceedings United States-Japan seminar on differential and functional equations, University of Minnesota, Minneapolis, Minnesota, June 26–30, 1967 (edited by W. A. Harris, Jr. and Y. Sibuya), pp.133–151. W. A. Benjamin, Inc., New York / Amsterdam, 1967.

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  7. _"_ Analytic first integrals of ordinary differential equations.-Comment. Math. Helv. 47, 1972, pp.205–212.

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  8. Markus, L.: Global structure of ordinary differential equations in the plane.-Trans. Amer. Math. Soc. 76, 1954, pp.127–148.

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  9. Ważewski, T.: Sur un problème de caractère intégral relatif à l'équation ∂z / ∂x+Q(x,y) ∂z / ∂y=0.-Mathematica (Cluj) 8, 1934, pp.103–116.

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Authors and Affiliations

  1. Mathematics Department, University of Michigan, 48104, Ann Arbor, Michigan, USA

    Wilfred Kaplan

Authors
  1. Wilfred Kaplan
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Olli Lehto Ilppo Simo Louhivaara Rolf Nevanlinna

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© 1974 Springer-Verlag

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Kaplan, W. (1974). On partial differential equations of first order. In: Lehto, O., Louhivaara, I.S., Nevanlinna, R. (eds) Topics in Analysis. Lecture Notes in Mathematics, vol 419. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064729

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  • DOI: https://doi.org/10.1007/BFb0064729

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06965-2

  • Online ISBN: 978-3-540-37907-2

  • eBook Packages: Springer Book Archive

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