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Two-Parameter Eigenvalue Problems in Nonlinear Second Order Differential Equations

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Two-parameter nonlinear second order differential equations are studied. By using a variational method we characterize the variational eigenvalues μ = μ(λ) and study the properties of μ(λ). Furthermore, asymptotic formulas of μ(λ) as λ → ±∞ are established.

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Correspondence to Tetsutaro Shibata.

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Shibata, T. Two-Parameter Eigenvalue Problems in Nonlinear Second Order Differential Equations. Results. Math. 31, 136–147 (1997). https://doi.org/10.1007/BF03322156

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  • DOI: https://doi.org/10.1007/BF03322156

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