{"id":"https://openalex.org/W2912599830","doi":"https://doi.org/10.1093/imamci/dnz001","title":"Existence, stability and controllability results of a Volterra integro-dynamic system with non-instantaneous impulses on time scales","display_name":"Existence, stability and controllability results of a Volterra integro-dynamic system with non-instantaneous impulses on time scales","publication_year":2019,"publication_date":"2019-01-04","ids":{"openalex":"https://openalex.org/W2912599830","doi":"https://doi.org/10.1093/imamci/dnz001","mag":"2912599830"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnz001","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnz001","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036476218","display_name":"Muslim Malik","orcid":"https://orcid.org/0000-0003-0055-7581"},"institutions":[{"id":"https://openalex.org/I9579091","display_name":"Indian Institute of Technology Mandi","ror":"https://ror.org/05r9r2f34","country_code":"IN","type":"education","lineage":["https://openalex.org/I9579091"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Muslim Malik","raw_affiliation_strings":["School of Basic Sciences, Indian Institute of Technology Mandi, India"],"affiliations":[{"raw_affiliation_string":"School of Basic Sciences, Indian Institute of Technology Mandi, India","institution_ids":["https://openalex.org/I9579091"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056436559","display_name":"Vipin Kumar","orcid":"https://orcid.org/0000-0002-7068-5426"},"institutions":[{"id":"https://openalex.org/I9579091","display_name":"Indian Institute of Technology Mandi","ror":"https://ror.org/05r9r2f34","country_code":"IN","type":"education","lineage":["https://openalex.org/I9579091"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vipin Kumar","raw_affiliation_strings":["School of Basic Sciences, Indian Institute of Technology Mandi, India"],"affiliations":[{"raw_affiliation_string":"School of Basic Sciences, Indian Institute of Technology Mandi, India","institution_ids":["https://openalex.org/I9579091"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036476218"],"corresponding_institution_ids":["https://openalex.org/I9579091"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":4.6391,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.95439476,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.9404548406600952},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6655977964401245},{"id":"https://openalex.org/keywords/volterra-equations","display_name":"Volterra equations","score":0.6219167709350586},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.596609890460968},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5117942690849304},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4581235647201538},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.4534547030925751},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.43820473551750183},{"id":"https://openalex.org/keywords/dynamic-equation","display_name":"Dynamic equation","score":0.4322056770324707},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41202571988105774},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32487744092941284},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09339573979377747},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09334716200828552},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0894193947315216},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.041036009788513184},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.040763646364212036}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9404548406600952},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6655977964401245},{"id":"https://openalex.org/C2983756050","wikidata":"https://www.wikidata.org/wiki/Q150052","display_name":"Volterra equations","level":3,"score":0.6219167709350586},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.596609890460968},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5117942690849304},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4581235647201538},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.4534547030925751},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.43820473551750183},{"id":"https://openalex.org/C2989370511","wikidata":"https://www.wikidata.org/wiki/Q18381590","display_name":"Dynamic equation","level":3,"score":0.4322056770324707},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41202571988105774},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32487744092941284},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09339573979377747},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09334716200828552},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0894193947315216},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.041036009788513184},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.040763646364212036},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/imamci/dnz001","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnz001","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W47437515","https://openalex.org/W151235004","https://openalex.org/W271810198","https://openalex.org/W307607046","https://openalex.org/W602720839","https://openalex.org/W1522419168","https://openalex.org/W1570560538","https://openalex.org/W2002542413","https://openalex.org/W2011083349","https://openalex.org/W2015192593","https://openalex.org/W2050240106","https://openalex.org/W2053223544","https://openalex.org/W2058160446","https://openalex.org/W2063947427","https://openalex.org/W2065649468","https://openalex.org/W2105640560","https://openalex.org/W2124006917","https://openalex.org/W2131682969","https://openalex.org/W2143183467","https://openalex.org/W2184445569","https://openalex.org/W2215624078","https://openalex.org/W2293761540","https://openalex.org/W2302957144","https://openalex.org/W2558680556","https://openalex.org/W2734853714","https://openalex.org/W2745553624","https://openalex.org/W2750665259","https://openalex.org/W2751379778","https://openalex.org/W2769568905","https://openalex.org/W2790715563","https://openalex.org/W2986629677","https://openalex.org/W3035578948","https://openalex.org/W3194253354","https://openalex.org/W6601873366","https://openalex.org/W6610813167","https://openalex.org/W6634363183","https://openalex.org/W6686280162","https://openalex.org/W6688233443","https://openalex.org/W6769713438","https://openalex.org/W6780383567","https://openalex.org/W6800418451"],"related_works":["https://openalex.org/W2036697162","https://openalex.org/W2332386680","https://openalex.org/W2561315646","https://openalex.org/W2248621902","https://openalex.org/W2003779889","https://openalex.org/W94552944","https://openalex.org/W1539042228","https://openalex.org/W4244839300","https://openalex.org/W1990594553","https://openalex.org/W2963905159"],"abstract_inverted_index":{"In":[0,32],"this":[1],"paper,":[2],"we":[3],"establish":[4,29],"the":[5,33,43,46],"stability":[6],"and":[7],"controllability":[8],"results":[9],"for":[10],"a":[11,36],"Volterra":[12],"integro-dynamic":[13],"system":[14],"with":[15],"non-instantaneous":[16],"impulses":[17],"on":[18],"time":[19],"scales.":[20],"Banach":[21],"fixed":[22],"point":[23],"theorem":[24],"has":[25],"been":[26],"used":[27],"to":[28,41],"these":[30],"results.":[31,48],"last":[34],"section,":[35],"numerical":[37],"example":[38],"is":[39],"given":[40],"illustrate":[42],"effectiveness":[44],"of":[45],"analytic":[47]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
