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On the other word, the types of equilibrium point are still determined by the linear part when a nonlinear disturbance is added to the interval linear differential equations. Based on CIA, the stability results of interval differential equations are the same as those of the real differential equations. At last, three illustrative examples validate the stability results of the origin for interval two-dimensional semi-linear differential equations.<\/jats:p>","DOI":"10.3233\/jifs-222020","type":"journal-article","created":{"date-parts":[[2023,4,7]],"date-time":"2023-04-07T11:39:05Z","timestamp":1680867545000},"page":"10297-10310","source":"Crossref","is-referenced-by-count":0,"title":["The stability of interval two-dimensional semi-linear differential equations based on constrained interval arithmetic"],"prefix":"10.1177","volume":"44","author":[{"given":"Zhaodan","family":"Zhi","sequence":"first","affiliation":[{"name":"Department of Mathematics, College of Mathematics & Statistics, Guizhou University, Guiyang, Guizhou, P.R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Juan","family":"Tao","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Mathematics & Statistics, Guizhou University, Guiyang, Guizhou, P.R. 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