The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS
Abstract
This paper is concerned with a group of problems associated with recent results on non-linear equations of Korteweg-de Vries type. The second chapter is basically of a survey character and investigates connections between these equations and trace formulae. In the first chapter we develop a new algebraic formalism of the calculus of variations.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Method for Solving the Korteweg-deVries Equation
Gardner, C. S., Greene, J. M., Kruskal, M. D., & Miura, R. M. (1967) · Physical Review Letters · doi:10.1103/physrevlett.19.1095 · Cited by 4,663
The periodic problem for the Korteweg—de vries equation
Novikov, S. P. (1974) · Functional Analysis and Its Applications · doi:10.1007/bf01075697 · Cited by 552
Normal forms and versal deformations for Hill's equation
Lazutkin, V. F., & Pankratova, T. F. (1975) · Functional Analysis and Its Applications · doi:10.1007/bf01075876 · Cited by 81
A Generalization of Epstein Zeta Functions
Minakshisundaram, S. (1949) · Canadian Journal of Mathematics · doi:10.4153/cjm-1949-029-3 · Cited by 77
The index of elliptic systems of singular integral operators
Seeley, R. (1963) · Journal of Mathematical Analysis and Applications · doi:10.1016/0022-247x(63)90054-4 · Cited by 34
Cited by
Strings in less than one dimension and the generalized KdV hierarchies
Douglas, M. R. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)91716-o · Cited by 511
Microscopic and macroscopic loops in non-perturbative two dimensional gravity
Banks, T., Douglas, M. R., Seiberg, N., & Shenker, S. H. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)91736-u · Cited by 259
Liouville quantum gravity — holography, JT and matrices
Mertens, T. G., & Turiaci, G. J. (2021) · Journal of High Energy Physics · doi:10.1007/jhep01(2021)073 · Cited by 130
JT gravity, KdV equations and macroscopic loop operators
Okuyama, K., & Sakai, K. (2020) · Journal of High Energy Physics · doi:10.1007/jhep01(2020)156 · Cited by 97
Nonperturbative Jackiw-Teitelboim gravity
Johnson, C. V. (2020) · Physical Review D · doi:10.1103/physrevd.101.106023 · Cited by 92
Metadata
- Authors
- Gel'fand, I. M., & Dikii, L. A.
- Venue
- Russian Mathematical Surveys
- Publisher
- Steklov Mathematical Institute
- Published
- 1975-10-31
- Volume
- 30
- Issue
- 5
- Pages
- 77-113
- ISSN
- 0036-0279 (ISSN-L)
- 1468-4829
- OpenAlex
- W1990391051
- Cited by
- 484
- References
- 5
- FWCI
- 9.14
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS. https://app.cochat.ai/papers/10.1070/rm1975v030n05abeh001522
- The paper
- Gel'fand, I. M., & Dikii, L. A. (1975). ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS. Russian Mathematical Surveys. https://doi.org/10.1070/rm1975v030n05abeh001522
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
