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Semilinear Second-Order Ordinary Differential Equations: Distances Between Consecutive Zeros of Oscillatory Solutions

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Integral Methods in Science and Engineering
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Abstract

Oscillation criteria for semilinear differential equations have been largely investigated in the literature, both in one-dimensional and in multi-dimensional cases. But the arrangements of the zeros for two different solutions or the diameters of two consecutive zeros of a solution are rare to find in the literature. Here, we study this problem for a specific equation.

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References

  1. J. Jaros and T. Kusano: A Picone-type identity for second order half-linear differential equations. Acta Math. Univ. Comenianae 68 (1999), 137–151

    MATH  MathSciNet  Google Scholar 

  2. George F. Simons, Steven G. Krankz: Differential Equations, Theory, Technique and Practice. Mc Graw Hill Higher Education (2007)

    Google Scholar 

  3. Tadié: Oscillation criteria for semilinear elliptic equations with a damping term in \(\mathbb{R}^{n}\). Electronic J. of Differential Equations, 2010, no. 51, 1–5.

    Google Scholar 

  4. Tadié: Oscillation criteria for damped Quasilinear second-order Elliptic Equations. Electronic J. of Differential Equations, 2011, No. 151, 1–11.

    Google Scholar 

  5. Tadié: On Strong Oscillation Criteria for Bounded Solutions for Some Quasilinear Second-Order Elliptic Equations. Communications in Mathematical Analysis, 13, No. 2, 15–26 (2012).

    Google Scholar 

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Tadie (2015). Semilinear Second-Order Ordinary Differential Equations: Distances Between Consecutive Zeros of Oscillatory Solutions. In: Constanda, C., Kirsch, A. (eds) Integral Methods in Science and Engineering. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-16727-5_49

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