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Existence of Positive Solution for the Cauchy Problem for an Ordinary Differential Equation

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Nonlinear Mathematics for Uncertainty and its Applications

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 100))

Abstract

In this paper we consider the existence of positive solution for the Cauchy problem of the second order differential equation ű(t) = f(t, u(t)).

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References

  1. Erbe, L.H., Wang, H.: On the existence of positive solutions of ordinary differential equations. Proceedings of the American Mathematical Society 120(3), 743–748 (1994)

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Author information

Authors and Affiliations

  1. College of Engineering, Nihon University, Fukushima, 963–8642, Japan

    Toshiharu Kawasaki

  2. Faculty of Engineering, Tamagawa University, Tokyo, 194–8610, Japan

    Masashi Toyoda

Authors
  1. Toshiharu Kawasaki
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  2. Masashi Toyoda
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Editor information

Editors and Affiliations

  1. College of Applied Sciences, Beijing University of Technology, 100 Pingleyuan, 100124, Chaoyang District, Beijing, P.R. China

    Shoumei Li , Xia Wang  & Li Guan ,  & 

  2. Department of Systems Design and Informatics, Kyushu Institute of Technology, 680-4, Kawazu, 820-8502, lizuka, Japan

    Yoshiaki Okazaki

  3. Department of Mathematics, Shinshu University, 4-17-1 Wakasato, 380-8553, Nagano, Japan

    Jun Kawabe

  4. Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, 4259-G3-47, Nagatsuta, Midori-ku, 226-8502, Yokohama, Japan

    Toshiaki Murofushi

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© 2011 Springer-Verlag Berlin Heidelberg

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Kawasaki, T., Toyoda, M. (2011). Existence of Positive Solution for the Cauchy Problem for an Ordinary Differential Equation. In: Li, S., Wang, X., Okazaki, Y., Kawabe, J., Murofushi, T., Guan, L. (eds) Nonlinear Mathematics for Uncertainty and its Applications. Advances in Intelligent and Soft Computing, vol 100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22833-9_53

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  • DOI: https://doi.org/10.1007/978-3-642-22833-9_53

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22832-2

  • Online ISBN: 978-3-642-22833-9

  • eBook Packages: EngineeringEngineering (R0)

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