S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Nonstandard Lagrangian Singularities and Asymptotic Eigenfunctions of the Degenerating Operator <nobr>$-\frac{d}{dx}D(x)\frac{d}{dx}$</nobr>”, Trudy Mat. Inst. Steklova, 2019, Volume 306,Pages <nobr>83

This article is cited in 8 papers

Nonstandard Lagrangian Singularities and Asymptotic Eigenfunctions of the Degenerating Operator $-\frac{d}{dx}D(x)\frac{d}{dx}$

S. Yu. Dobrokhotov^ab, V. E. Nazaikinskii^ab

^a Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101-1, Moscow, 119526 Russia
^b Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701 Russia

Abstract: We express the asymptotic eigenfunctions of the operator $-\frac{d}{dx}D(x)\frac{d}{dx}$ that degenerates at the endpoints of an interval in terms of the modified Maslov canonical operator introduced in our previous studies.

UDC: 517.958+517.928.2

Received: October 12, 2018
Revised: January 24, 2019
Accepted: May 31, 2019

DOI: 10.4213/tm3980