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Singular Nonlinear Eigenvalue Problem for One Class of Second-Order Differential Equations

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Ukrainian Mathematical Journal Aims and scope

Abstract

The eigenvalue problem for a singular nonlinear differential equation of the second order is considered on a semiaxis. For this problem, we establish sufficient conditions for the existence of a solution with given number of zeros monotonically decreasing to zero at infinity.

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Authors and Affiliations

  1. Shevchenko Kiev National University, Kiev

    S. V. Pozur

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  1. S. V. Pozur
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Pozur, S.V. Singular Nonlinear Eigenvalue Problem for One Class of Second-Order Differential Equations. Ukrainian Mathematical Journal 55, 1724–1732 (2003). https://doi.org/10.1023/B:UKMA.0000022077.77209.ba

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  • DOI: https://doi.org/10.1023/B:UKMA.0000022077.77209.ba

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