{"id":"https://openalex.org/W1973653024","doi":"https://doi.org/10.1016/s0096-3003(99)00234-9","title":"On stability of nonlinear differential systems via cone-valued Liapunov function method","display_name":"On stability of nonlinear differential systems via cone-valued Liapunov function method","publication_year":2001,"publication_date":"2001-04-01","ids":{"openalex":"https://openalex.org/W1973653024","doi":"https://doi.org/10.1016/s0096-3003(99)00234-9","mag":"1973653024"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(99)00234-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(99)00234-9","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5067888151","display_name":"M. M. A. El-Sheikh","orcid":"https://orcid.org/0000-0002-4233-3415"},"institutions":[{"id":"https://openalex.org/I63601056","display_name":"Menoufia University","ror":"https://ror.org/05sjrb944","country_code":"EG","type":"education","lineage":["https://openalex.org/I63601056"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"M.M.A. El-Sheikh","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Menoufia University, Shibin El-Koom, Egypt","Department of Mathematics, Faculty of Science, Menoufia University, Shibin El-koom, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Menoufia University, Shibin El-Koom, Egypt","institution_ids":["https://openalex.org/I63601056"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Menoufia University, Shibin El-koom, Egypt","institution_ids":["https://openalex.org/I63601056"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073338223","display_name":"A.A. Soliman","orcid":"https://orcid.org/0000-0001-7670-3704"},"institutions":[{"id":"https://openalex.org/I207547235","display_name":"Benha University","ror":"https://ror.org/03tn5ee41","country_code":"EG","type":"education","lineage":["https://openalex.org/I207547235"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"A.A. Soliman","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Benha University, Benha-Kalubai 13518, Egypt","Department of Mathematics, Faculty of Science, Benha University, Benha-Kalubai 13518, Egypt#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Benha University, Benha-Kalubai 13518, Egypt","institution_ids":["https://openalex.org/I207547235"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Benha University, Benha-Kalubai 13518, Egypt#TAB#","institution_ids":["https://openalex.org/I207547235"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084248993","display_name":"M.H. Abd Alla","orcid":null},"institutions":[{"id":"https://openalex.org/I207547235","display_name":"Benha University","ror":"https://ror.org/03tn5ee41","country_code":"EG","type":"education","lineage":["https://openalex.org/I207547235"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"M.H. Abd Alla","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Benha University, Benha-Kalubai 13518, Egypt","Department of Mathematics, Faculty of Science, Benha University, Benha-Kalubai 13518, Egypt#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Benha University, Benha-Kalubai 13518, Egypt","institution_ids":["https://openalex.org/I207547235"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Benha University, Benha-Kalubai 13518, Egypt#TAB#","institution_ids":["https://openalex.org/I207547235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5073338223"],"corresponding_institution_ids":["https://openalex.org/I207547235"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.13262122,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"119","issue":"2-3","first_page":"265","last_page":"281"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9890000224113464,"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":0.9890000224113464,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9811999797821045,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9750000238418579,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8342782258987427},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.735671877861023},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.6919902563095093},{"id":"https://openalex.org/keywords/liapunov-function","display_name":"Liapunov function","score":0.661454439163208},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.6170809268951416},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.571329653263092},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5477140545845032},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5089654922485352},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.47784730792045593},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4358515739440918},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37761127948760986},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3740772306919098},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0539054274559021},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.051662594079971313}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8342782258987427},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.735671877861023},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.6919902563095093},{"id":"https://openalex.org/C2988193574","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Liapunov function","level":3,"score":0.661454439163208},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6170809268951416},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.571329653263092},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5477140545845032},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5089654922485352},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.47784730792045593},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4358515739440918},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37761127948760986},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3740772306919098},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0539054274559021},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.051662594079971313},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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:10.1016/s0096-3003(99)00234-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(99)00234-9","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2018689625","https://openalex.org/W2045867430"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W1580703421","https://openalex.org/W2996841952","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4288093367","https://openalex.org/W4382202915"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
