Regularized asymptotics of the solution of a singularly perturbed Cauchy problem for an equation of Schrödinger with potential \(Q(x)=x^2\)

DOI10.22405/2226-8383-2023-24-5-31-48MaRDI QIDQ6500267

T. A. Ratnikova, Dar'ya Alekseevna Shaposhnikova, A. G. Eliseev

Publication date: 10 May 2024

Published in: Chebyshevskiĭ Sbornik (Search for Journal in Brave)

zbMATH Keywords

asymptotic solutionsingularly perturbed problemturning pointregularization method

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Partial differential equations (35-XX)

Cites Work

• Regularization and asymptotic solutions of singularly perturbed problems with point singularities in the spectrum of the limiting operator
• Singularly perturbed Cauchy problem in which the limit operator has multiple spectrum and a weak first-order turning point
• Regularized asymptotics of solutions to integro-differential partial differential equations with rapidly varying kernels
• ON MATRICES DEPENDING ON PARAMETERS
• Regularized asymptotics of the solution of a singularly perturbedmixed problem on the semiaxis for an equation of Schrodinger type in the presence of a strong turning point for the limit operator
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