The leading term of the asymptotics of solutions of linear differential equations with first-order distribution coefficients

DOI10.1134/S0001434619070083zbMath1431.34016OpenAlexW2971029343MaRDI QIDQ2282837

Natal'ya Nikolaevna Konechnaya, Karahan A. Mirzoev

Publication date: 20 December 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619070083

zbMATH Keywords

quasiderivativesquasidifferential expressiondifferential equations with distribution coefficientsleading term of asymptotics of solutions of differential equations

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (3)

Linear differential operators with distribution coefficients of various singularity orders ⋮ Asymptotics of solutions of two-term differential equations ⋮ Solving An Inverse Problem For The Sturm-Liouville Operator With A Singular Potential By Yurko's Method

Cites Work

• Gewöhnliche lineare Differentialgleichungen zweiter Ordnung mit Distributionskoeffizient
• On the asymptotic behavior of solutions to two-term differential equations with singular coefficients
• Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials
• Weak Solutions of $(p(x)u'(x))' + g(x)u'(x) + qu(x) = f$ with $q,f \in H_{ - 1} [a,b$, $0 < p(x) \in L_\infty [a,b]$, $g(x) \in L_\infty [a,b]$ and $u \in H_1 [a,b]$]
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