{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:09:18Z","timestamp":1772294958626,"version":"3.50.1"},"reference-count":54,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Commun. Contemp. Math."],"published-print":{"date-parts":[[2000,2]]},"abstract":"<jats:p> We study the existence of periodic solutions u(\u00b7) for a class of nonlinear ordinary differential equations depending on a real parameter s and obtain the existence of closed connected branches of solution pairs (u, s) to various classes of problems, including some cases, like the superlinear one, where there is a lack of a priori bounds. The results are obtained as a consequence of a new continuation theorem for the coincidence equation Lu=N(u, s) in normed spaces. Among the applications, we discuss also an example of existence of global branches of periodic solutions for the Ambrosetti\u2013Prodi type problem u\u2033+g(u)=s+ p(t), with g satisfying some asymmetric conditions. <\/jats:p>","DOI":"10.1142\/s0219199700000074","type":"journal-article","created":{"date-parts":[[2003,4,22]],"date-time":"2003-04-22T11:57:41Z","timestamp":1051012661000},"page":"87-126","source":"Crossref","is-referenced-by-count":22,"title":["CONTINUATION THEOREMS FOR AMBROSETTI-PRODI TYPE PERIODIC PROBLEMS"],"prefix":"10.1142","volume":"02","author":[{"given":"JEAN","family":"MAWHIN","sequence":"first","affiliation":[{"name":"Universit\u00e9 de Louvain, D\u00e9partement de Math\u00e9matique, Chemin du Cyclotron 2, B-1348 Louvain-la-Neuve, Belgium"}]},{"given":"CARLOTA","family":"REBELO","sequence":"additional","affiliation":[{"name":"Centro de Matem\u00e1tica e Aplica\u00e7\u00f5es Fundamentais, Av. Prof. Gama Pinto 2, 1699-003 Lisboa, Portugal"}]},{"given":"FABIO","family":"ZANOLIN","sequence":"additional","affiliation":[{"name":"Universit\u00e0 di Udine, Dipartimento di Matematica e Informatica, via delle Scienze 206, 33100 Udine, Italy"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01320867"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1007\/PL00004586"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1007\/BF02412022"},{"key":"p_6","first-page":"183","volume":"4","author":"Browder F. E.","year":"1960","journal-title":"Summa Brasil. Math."},{"issue":"7","key":"p_7","first-page":"135","volume":"8","author":"Capietto A.","year":"1994","journal-title":"Boll. Un. Mat. Ital. B"},{"key":"p_11","doi-asserted-by":"crossref","first-page":"81","DOI":"10.12775\/TMNA.1994.005","volume":"3","author":"Capietto A.","year":"1994","journal-title":"Topological Methods in Nonlinear Analysis"},{"key":"p_12","doi-asserted-by":"publisher","DOI":"10.2307\/2154076"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(90)90102-U"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1007\/BF01295308"},{"key":"p_18","doi-asserted-by":"publisher","DOI":"10.1007\/BF00282326"},{"key":"p_19","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(92)90031-H"},{"key":"p_20","first-page":"31","volume":"1","author":"Ding S. H.","year":"1988","journal-title":"Differential Integral Equations"},{"key":"p_21","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1982-0663864-1"},{"key":"p_22","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(92)90076-Y"},{"key":"p_23","first-page":"227","volume":"25","author":"Ding W.","year":"1982","journal-title":"Acta Math. Sinica"},{"key":"p_24","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1995.1040"},{"key":"p_25","doi-asserted-by":"publisher","DOI":"10.1007\/BF01198811"},{"key":"p_26","doi-asserted-by":"publisher","DOI":"10.1112\/blms\/18.2.173"},{"key":"p_27","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-1983-15161-3"},{"key":"p_28","doi-asserted-by":"publisher","DOI":"10.1137\/0524074"},{"key":"p_29","doi-asserted-by":"publisher","DOI":"10.1007\/BF01781065"},{"issue":"7","key":"p_31","first-page":"709","volume":"11","author":"Furi M.","year":"1997","journal-title":"Boll. Un. Mat. Ital. A"},{"key":"p_32","first-page":"963","volume":"29","author":"Furi M.","year":"1997","journal-title":"TMA"},{"key":"p_34","first-page":"160","volume":"100","author":"Fu\u010dik S.","year":"1975","journal-title":"Mat."},{"key":"p_37","first-page":"203","volume":"2","author":"Garc\u00eda-Huidobro M.","year":"1997","journal-title":"Advances in Differential Equations"},{"key":"p_38","doi-asserted-by":"publisher","DOI":"10.1080\/03605309408821049"},{"key":"p_41","first-page":"753","volume":"2","author":"Henrard M.","year":"1997","journal-title":"Advances in Differential Equations"},{"key":"p_42","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1985-0800246-0"},{"key":"p_45","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1016\/S0294-1449(16)30368-7","volume":"4","author":"Lazer A. C.","year":"1987","journal-title":"Ann. Inst. H. Poincar\u00e9 Anal. Non Lin\u00e9aire"},{"key":"p_46","doi-asserted-by":"publisher","DOI":"10.1137\/1032120"},{"key":"p_47","doi-asserted-by":"crossref","first-page":"45","DOI":"10.24033\/asens.836","volume":"51","author":"Leray J.","year":"1934","journal-title":"Ann. Sci. Ecol. Norm."},{"key":"p_48","first-page":"299","volume":"40","author":"Lloyd N. G.","year":"1988","journal-title":"Bull. Soc. Math. Belg., Ser. B"},{"key":"p_50","doi-asserted-by":"publisher","DOI":"10.1016\/0022-1236(84)90069-7"},{"key":"p_51","first-page":"934","volume":"55","author":"Mawhin J.","year":"1969","journal-title":"Acad. Roy. Belg. Bull. Cl. Sci."},{"key":"p_52","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(74)90013-8"},{"key":"p_61","doi-asserted-by":"publisher","DOI":"10.1216\/rmjm\/1181072265"},{"key":"p_63","doi-asserted-by":"crossref","first-page":"179","DOI":"10.12775\/TMNA.1997.008","volume":"9","author":"Mawhin J.","year":"1997","journal-title":"Topol. Methods Nonlinear Anal."},{"key":"p_64","doi-asserted-by":"publisher","DOI":"10.1007\/BF01371406"},{"key":"p_65","doi-asserted-by":"crossref","first-page":"55","DOI":"10.12775\/TMNA.1993.030","volume":"2","author":"Mawhin J.","year":"1993","journal-title":"Topol. Methods Nonlinear Anal."},{"key":"p_66","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100038743"},{"key":"p_67","doi-asserted-by":"publisher","DOI":"10.1017\/S0017089500006339"},{"key":"p_68","first-page":"54","volume":"20","author":"Omari P.","year":"1988","journal-title":"Rend. Ist. Mat. Univ. Trieste"},{"key":"p_70","first-page":"275","volume":"3","author":"Ortega R.","year":"1990","journal-title":"Differential Integral Equations"},{"key":"p_71","doi-asserted-by":"publisher","DOI":"10.1016\/0022-1236(71)90030-9"},{"key":"p_72","first-page":"431","volume":"47","author":"Ramos M.","year":"1990","journal-title":"Portugal. Math."},{"key":"p_73","first-page":"81","volume":"2","author":"Ramos M.","year":"1989","journal-title":"Differential Integral Equations"},{"key":"p_74","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.1997.3.25"},{"key":"p_76","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-96-01580-2"},{"key":"p_78","doi-asserted-by":"publisher","DOI":"10.1007\/BF02417019"},{"key":"p_79","doi-asserted-by":"publisher","DOI":"10.1216\/RMJ-1986-16-3-481"},{"key":"p_80","first-page":"1080","volume":"22","author":"Shekhter V. L.","year":"1986","journal-title":"Differential Equations"},{"key":"p_81","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(80)90099-6"},{"key":"p_82","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1981-0597653-2"},{"key":"p_83","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1997.3336"}],"container-title":["Communications in Contemporary Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219199700000074","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T21:33:59Z","timestamp":1565127239000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219199700000074"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,2]]},"references-count":54,"aliases":["10.1016\/s0219-1997(00)00007-4"],"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2000,2]]}},"alternative-id":["10.1142\/S0219199700000074"],"URL":"https:\/\/doi.org\/10.1142\/s0219199700000074","relation":{},"ISSN":["0219-1997","1793-6683"],"issn-type":[{"value":"0219-1997","type":"print"},{"value":"1793-6683","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,2]]}}}