Connection Formulas for Second Order Differential Equations with a Complex Parameter and Having an Arbitrary Number of Turning Points
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Publication:4846796
DOI10.1002/mana.19941650114zbMath0829.34044OpenAlexW2153879229MaRDI QIDQ4846796
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Publication date: 17 January 1996
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.19941650114
matchingsingular perturbationsturning pointsasymptotic estimatesconnection matricesasymptotic behaviors
Linear ordinary differential equations and systems (34A30) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)
Related Items (12)
Asymptotic formulas for the eigenvalues of linear differential boundary problems with indefinite weight function ⋮ On the asymptotic distribution of the eigenvalues of singular Sturm-Liouville problems with an indefinite weight function ⋮ On the canonical solution of indefinite problem with \(m\) turning points of even order ⋮ On the determination of differential equations with singularities and turning points ⋮ Unnamed Item ⋮ Asymptotic form and infinite product representation of solution of a second order initial value problem with a complex parameter and a finite number of turning points ⋮ The distribution of the eigenvalues for second order eigenvalue problems in the presence of an arbitrary number of turning points ⋮ Irregular boundary value problems revisited ⋮ Higher-order asymptotic formula for the eigenvalues of Sturm-Liouville problem with \(n\) turning points ⋮ Spectral Analysis for an Indefinite Singular Sturm-Liouville Problem ⋮ Inverse spectral problems for differential equations on the half-line with turning points ⋮ Reconstructing parameters of a medium from incomplete spectral information
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