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Motivated by [Llibre & Teixeira, 2017], where an open problem was posed: Can piecewise linear differential systems without equilibria produce limit cycles? We prove that such systems have at most two limit cycles, and the limit cycles must intersect the nonregular separation line in two or four points. More precisely, the exact upper bound of crossing limit cycles is two, and this upper bound can indeed be reached: either both intersect the separation line at two points or one intersects the separation line at two points and the other one at four points. Based on Poincar\u00e9 map, the stability of various limit cycles is also proved. In addition, we give some concrete examples to illustrate our main results. <\/jats:p>","DOI":"10.1142\/s021812742250153x","type":"journal-article","created":{"date-parts":[[2022,8,29]],"date-time":"2022-08-29T03:49:35Z","timestamp":1661744975000},"source":"Crossref","is-referenced-by-count":3,"title":["Limit Cycles in Discontinuous Piecewise Linear Planar Hamiltonian Systems Without Equilibrium Points"],"prefix":"10.1142","volume":"32","author":[{"given":"Zhengkang","family":"Li","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, East China Normal University, Shanghai 200241, P. R. China"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-7706-9044","authenticated-orcid":false,"given":"Xingbo","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, East China Normal University, Shanghai 200241, P. R. 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