{"id":"https://openalex.org/W4400208706","doi":"https://doi.org/10.1515/ms-2024-0053","title":"On a solvable difference equations system of second order its solutions are related to a generalized Mersenne sequence","display_name":"On a solvable difference equations system of second order its solutions are related to a generalized Mersenne sequence","publication_year":2024,"publication_date":"2024-06-01","ids":{"openalex":"https://openalex.org/W4400208706","doi":"https://doi.org/10.1515/ms-2024-0053"},"language":"en","primary_location":{"id":"doi:10.1515/ms-2024-0053","doi":"https://doi.org/10.1515/ms-2024-0053","is_oa":false,"landing_page_url":"https://doi.org/10.1515/ms-2024-0053","pdf_url":null,"source":{"id":"https://openalex.org/S78192177","display_name":"Mathematica Slovaca","issn_l":"0139-9918","issn":["0139-9918","1337-2211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematica Slovaca","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5103174821","display_name":"Murad Khan Hassani","orcid":"https://orcid.org/0009-0003-6122-1595","observed_orcids":["https://orcid.org/0009-0003-6122-1595","https://orcid.org/0009-0005-2992-2476"]},"institutions":[{"id":"https://openalex.org/I1281109512","display_name":"Nev\u015fehir Hac\u0131 Bekta\u015f Veli University","ror":"https://ror.org/019jds967","country_code":"TR","type":"education","lineage":["https://openalex.org/I1281109512"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Murad Khan Hassani","raw_affiliation_strings":["Department of Mathematics Hac\u03b9 Bekta\u015f Veli University Nevsehir Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Hac\u03b9 Bekta\u015f Veli University Nevsehir Turkey","institution_ids":["https://openalex.org/I1281109512"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039446767","display_name":"Nouressadat Touafek","orcid":"https://orcid.org/0000-0001-7079-6794","observed_orcids":["https://orcid.org/0000-0001-7079-6794"]},"institutions":[{"id":"https://openalex.org/I116970179","display_name":"University of Jijel","ror":"https://ror.org/03kkfk814","country_code":"DZ","type":"education","lineage":["https://openalex.org/I116970179"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Nouressadat Touafek","raw_affiliation_strings":["LMAM Laboratory Faculty of Exact Sciences and Informatics University of Jijel Jijel Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMAM Laboratory Faculty of Exact Sciences and Informatics University of Jijel Jijel Algeria","institution_ids":["https://openalex.org/I116970179"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018986955","display_name":"Yasin Yazl\u0131k","orcid":"https://orcid.org/0000-0001-6369-540X","observed_orcids":["https://orcid.org/0000-0001-6369-540X","https://orcid.org/0000-0002-3403-9574"]},"institutions":[{"id":"https://openalex.org/I1281109512","display_name":"Nev\u015fehir Hac\u0131 Bekta\u015f Veli University","ror":"https://ror.org/019jds967","country_code":"TR","type":"education","lineage":["https://openalex.org/I1281109512"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Yasin Yazlik","raw_affiliation_strings":["Department of Mathematics Hac\u03b9 Bekta\u015f Veli University Nevsehir Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Hac\u03b9 Bekta\u015f Veli University Nevsehir Turkey","institution_ids":["https://openalex.org/I1281109512"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5039446767"],"corresponding_institution_ids":["https://openalex.org/I116970179"],"apc_list":{"value":2300,"currency":"EUR","value_usd":2489},"apc_paid":null,"fwci":0.9587,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68728427,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"74","issue":"3","first_page":"703","last_page":"716"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.46779999136924744,"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":0.46779999136924744,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.21549999713897705,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.05939999967813492,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-difference-equations","display_name":"nonlinear difference equations","score":0.9240000247955322},{"id":"https://openalex.org/keywords/second-order-difference-equations","display_name":"second-order difference equations","score":0.7680000066757202},{"id":"https://openalex.org/keywords/analytical-solution","display_name":"analytical solution","score":0.8420000076293945},{"id":"https://openalex.org/keywords/asymptotic-behavior-of-solutions","display_name":"asymptotic behavior of solutions","score":0.9729999899864197}],"concepts":[{"id":"https://openalex.org/C29641680","wikidata":"https://www.wikidata.org/wiki/Q186875","display_name":"Mersenne prime","level":2,"score":0.9170440435409546},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9041879177093506},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7593338489532471},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6389155387878418},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.468565970659256},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38558295369148254},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3437555432319641},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32830625772476196},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24162864685058594},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/ms-2024-0053","doi":"https://doi.org/10.1515/ms-2024-0053","is_oa":false,"landing_page_url":"https://doi.org/10.1515/ms-2024-0053","pdf_url":null,"source":{"id":"https://openalex.org/S78192177","display_name":"Mathematica Slovaca","issn_l":"0139-9918","issn":["0139-9918","1337-2211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematica Slovaca","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1931131631","https://openalex.org/W1970174746","https://openalex.org/W2058173279","https://openalex.org/W2101824836","https://openalex.org/W2108226147","https://openalex.org/W2477486016","https://openalex.org/W2574461205","https://openalex.org/W2793436060","https://openalex.org/W2935174990","https://openalex.org/W2947547651","https://openalex.org/W2957353513","https://openalex.org/W2963483866","https://openalex.org/W2997626834","https://openalex.org/W3006235878","https://openalex.org/W3029174302","https://openalex.org/W4205646103"],"related_works":["https://openalex.org/W2772235056","https://openalex.org/W4316229413","https://openalex.org/W2970406400","https://openalex.org/W2529146438","https://openalex.org/W4390768627","https://openalex.org/W4283640359","https://openalex.org/W3046120539","https://openalex.org/W2970841109","https://openalex.org/W2480685928","https://openalex.org/W2481802819"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,95],"paper,":[3],"we":[4],"consider":[5],"a":[6,19,73],"class":[7,34],"of":[8,14,22,35,37,52,64,69],"two-dimensional":[9],"nonlinear":[10],"difference":[11,38,70],"equations":[12,39,71],"system":[13,36,54,68],"second":[15],"order,":[16],"which":[17],"is":[18,40,47],"considerably":[20],"extension":[21],"some":[23],"recent":[24],"results":[25,31,92],"in":[26,42,94],"the":[27,50,90],"literature.":[28],"Our":[29],"main":[30],"show":[32],"that":[33,49],"solvable":[41],"closed":[43],"form":[44],"theoretically.":[45],"It":[46],"noteworthy":[48],"solutions":[51],"aforementioned":[53,67],"are":[55,80,86],"associated":[56],"with":[57],"generalized":[58],"Mersenne":[59],"numbers.":[60],"The":[61],"asymptotic":[62],"behavior":[63],"solution":[65],"to":[66,88],"when":[72],"=":[74,78],"b":[75],"and":[76],"p":[77],"0":[79],"also":[81],"given.":[82],"Finally,":[83],"numerical":[84],"examples":[85],"given":[87],"support":[89],"theoretical":[91],"presented":[93],"paper.":[96]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-10-25T09:29:13.331239","created_date":"2024-07-02T00:00:00"}