Traces for Sturm–Liouville Operators with Frozen Argument on Star Graphs

In this paper, Sturm-Liouville operators with frozen argument on star graphs are studied. First, we derive the asymptotic expression for the large eigenvalues. Second, the regularized trace formulae for these operators are calculated with the method of complex analysis.

Saved in:
Bibliographic Details
Published in:Resultate der Mathematik 2020-03, Vol.75 (1), Article 37
Main Authors: Hu, Yi-Teng, Huang, Zhen-You, Yang, Chuan-Fu
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c218t-54f22bc40ff6f34e992759b21f5370cc329c610bab1560dc497fb30633bf6a823
cites cdi_FETCH-LOGICAL-c218t-54f22bc40ff6f34e992759b21f5370cc329c610bab1560dc497fb30633bf6a823
container_end_page
container_issue 1
container_start_page
container_title Resultate der Mathematik
container_volume 75
creator Hu, Yi-Teng
Huang, Zhen-You
Yang, Chuan-Fu
description In this paper, Sturm-Liouville operators with frozen argument on star graphs are studied. First, we derive the asymptotic expression for the large eigenvalues. Second, the regularized trace formulae for these operators are calculated with the method of complex analysis.
doi_str_mv 10.1007/s00025-020-1165-x
format article
fullrecord <record><control><sourceid>crossref_sprin</sourceid><recordid>TN_cdi_crossref_primary_10_1007_s00025_020_1165_x</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_1007_s00025_020_1165_x</sourcerecordid><originalsourceid>FETCH-LOGICAL-c218t-54f22bc40ff6f34e992759b21f5370cc329c610bab1560dc497fb30633bf6a823</originalsourceid><addsrcrecordid>eNp9kE1OwzAQRi0EEqVwAHa-gGE8zk-zrCpaQJG6oKwtx9htqjauxgkUVtyBG3ISUsqa1cxI8z59eoxdS7iRAPltBABMBSAIKbNU7E_YQCb9VYDE098dRaZG6pxdxLgGSBElDtjjgox1kftA_KntaPv9-VXWoXutNxvH5ztHpg0U-VvdrviUwodr-JiW3dY1LQ9NzxjiMzK7VbxkZ95sorv6m0P2PL1bTO5FOZ89TMalsChHrUgTj1jZBLzPvEpcUWCeFhVKn6ocrFVY2ExCZSqZZvBikyL3lYJMqcpnZoRqyOQx11KIkZzXO6q3ht61BH2QoY8ydC9DH2Tofc_gkYn9b7N0pNeho6av-Q_0A-0-Y1Q</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Traces for Sturm–Liouville Operators with Frozen Argument on Star Graphs</title><source>Springer Nature</source><creator>Hu, Yi-Teng ; Huang, Zhen-You ; Yang, Chuan-Fu</creator><creatorcontrib>Hu, Yi-Teng ; Huang, Zhen-You ; Yang, Chuan-Fu</creatorcontrib><description>In this paper, Sturm-Liouville operators with frozen argument on star graphs are studied. First, we derive the asymptotic expression for the large eigenvalues. Second, the regularized trace formulae for these operators are calculated with the method of complex analysis.</description><identifier>ISSN: 1422-6383</identifier><identifier>EISSN: 1420-9012</identifier><identifier>DOI: 10.1007/s00025-020-1165-x</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Mathematics ; Mathematics and Statistics</subject><ispartof>Resultate der Mathematik, 2020-03, Vol.75 (1), Article 37</ispartof><rights>Springer Nature Switzerland AG 2020</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c218t-54f22bc40ff6f34e992759b21f5370cc329c610bab1560dc497fb30633bf6a823</citedby><cites>FETCH-LOGICAL-c218t-54f22bc40ff6f34e992759b21f5370cc329c610bab1560dc497fb30633bf6a823</cites><orcidid>0000-0003-1715-2644</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27922,27923</link.rule.ids></links><search><creatorcontrib>Hu, Yi-Teng</creatorcontrib><creatorcontrib>Huang, Zhen-You</creatorcontrib><creatorcontrib>Yang, Chuan-Fu</creatorcontrib><title>Traces for Sturm–Liouville Operators with Frozen Argument on Star Graphs</title><title>Resultate der Mathematik</title><addtitle>Results Math</addtitle><description>In this paper, Sturm-Liouville operators with frozen argument on star graphs are studied. First, we derive the asymptotic expression for the large eigenvalues. Second, the regularized trace formulae for these operators are calculated with the method of complex analysis.</description><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><issn>1422-6383</issn><issn>1420-9012</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kE1OwzAQRi0EEqVwAHa-gGE8zk-zrCpaQJG6oKwtx9htqjauxgkUVtyBG3ISUsqa1cxI8z59eoxdS7iRAPltBABMBSAIKbNU7E_YQCb9VYDE098dRaZG6pxdxLgGSBElDtjjgox1kftA_KntaPv9-VXWoXutNxvH5ztHpg0U-VvdrviUwodr-JiW3dY1LQ9NzxjiMzK7VbxkZ95sorv6m0P2PL1bTO5FOZ89TMalsChHrUgTj1jZBLzPvEpcUWCeFhVKn6ocrFVY2ExCZSqZZvBikyL3lYJMqcpnZoRqyOQx11KIkZzXO6q3ht61BH2QoY8ydC9DH2Tofc_gkYn9b7N0pNeho6av-Q_0A-0-Y1Q</recordid><startdate>202003</startdate><enddate>202003</enddate><creator>Hu, Yi-Teng</creator><creator>Huang, Zhen-You</creator><creator>Yang, Chuan-Fu</creator><general>Springer International Publishing</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0003-1715-2644</orcidid></search><sort><creationdate>202003</creationdate><title>Traces for Sturm–Liouville Operators with Frozen Argument on Star Graphs</title><author>Hu, Yi-Teng ; Huang, Zhen-You ; Yang, Chuan-Fu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c218t-54f22bc40ff6f34e992759b21f5370cc329c610bab1560dc497fb30633bf6a823</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hu, Yi-Teng</creatorcontrib><creatorcontrib>Huang, Zhen-You</creatorcontrib><creatorcontrib>Yang, Chuan-Fu</creatorcontrib><collection>CrossRef</collection><jtitle>Resultate der Mathematik</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hu, Yi-Teng</au><au>Huang, Zhen-You</au><au>Yang, Chuan-Fu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Traces for Sturm–Liouville Operators with Frozen Argument on Star Graphs</atitle><jtitle>Resultate der Mathematik</jtitle><stitle>Results Math</stitle><date>2020-03</date><risdate>2020</risdate><volume>75</volume><issue>1</issue><artnum>37</artnum><issn>1422-6383</issn><eissn>1420-9012</eissn><abstract>In this paper, Sturm-Liouville operators with frozen argument on star graphs are studied. First, we derive the asymptotic expression for the large eigenvalues. Second, the regularized trace formulae for these operators are calculated with the method of complex analysis.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s00025-020-1165-x</doi><orcidid>https://orcid.org/0000-0003-1715-2644</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 1422-6383
ispartof Resultate der Mathematik, 2020-03, Vol.75 (1), Article 37
issn 1422-6383
1420-9012
language eng
recordid cdi_crossref_primary_10_1007_s00025_020_1165_x
source Springer Nature
subjects Mathematics
Mathematics and Statistics
title Traces for Sturm–Liouville Operators with Frozen Argument on Star Graphs
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-14T13%3A02%3A35IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref_sprin&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Traces%20for%20Sturm%E2%80%93Liouville%20Operators%20with%20Frozen%20Argument%20on%20Star%20Graphs&rft.jtitle=Resultate%20der%20Mathematik&rft.au=Hu,%20Yi-Teng&rft.date=2020-03&rft.volume=75&rft.issue=1&rft.artnum=37&rft.issn=1422-6383&rft.eissn=1420-9012&rft_id=info:doi/10.1007/s00025-020-1165-x&rft_dat=%3Ccrossref_sprin%3E10_1007_s00025_020_1165_x%3C/crossref_sprin%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c218t-54f22bc40ff6f34e992759b21f5370cc329c610bab1560dc497fb30633bf6a823%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true