{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:21:37Z","timestamp":1772295697943,"version":"3.50.1"},"reference-count":24,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2010,2]]},"abstract":"<jats:p> In this work, we study the existence of periodic solutions for some nonlinear partial functional differential equation of neutral type. We assume that the linear part is nondensely defined and satisfies the Hille\u2013Yosida condition. The delayed part is assumed to be \u03c9-periodic with respect to the first argument. Using a fixed point theorem for multivalued mapping, some sufficient conditions are given to prove the existence of periodic solutions. <\/jats:p>","DOI":"10.1142\/s0218127410025600","type":"journal-article","created":{"date-parts":[[2010,4,16]],"date-time":"2010-04-16T08:05:38Z","timestamp":1271405138000},"page":"545-555","source":"Crossref","is-referenced-by-count":9,"title":["PERIODIC SOLUTIONS FOR SOME NONLINEAR PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS"],"prefix":"10.1142","volume":"20","author":[{"given":"RACHID","family":"BENKHALTI","sequence":"first","affiliation":[{"name":"Pacific Lutheran University, Department of Mathematics, Tacoma, WA 98447, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ABDELHAI","family":"ELAZZOUZI","sequence":"additional","affiliation":[{"name":"Universit\u00e9 Cadi Ayyad, Facult\u00e9 des Sciences Semlalia, D\u00e9partement de Math\u00e9matiques, B.P. 2390, Marrakech, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"KHALIL","family":"EZZINBI","sequence":"additional","affiliation":[{"name":"Universit\u00e9 Cadi Ayyad, Facult\u00e9 des Sciences Semlalia, D\u00e9partement de Math\u00e9matiques, B.P. 2390, Marrakech, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,5,2]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1998.3446"},{"key":"rf2","first-page":"371","volume":"7","author":"Adimy A.","journal-title":"Diff. Eqs. Dyn. Syst."},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-9659(98)00134-7"},{"key":"rf4","volume":"34","author":"Adimy M.","journal-title":"Hiroshima Math. J."},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.2000.7321"},{"key":"rf6","first-page":"1","volume":"56","author":"Benkhalti R.","journal-title":"Electron. J. Diff. Eq."},{"key":"rf7","first-page":"231","volume":"11","author":"Benkhalti R.","journal-title":"Dyn. Syst. Appl."},{"key":"rf8","unstructured":"T.\u00a0Burton, Stability and Periodic Solutions of Ordinary Differential Equation and Functional Differential Equations (Academic Press, NY, 1985)\u00a0pp. 197\u2013308."},{"key":"rf9","first-page":"31","volume":"17","author":"Chow S. N.","journal-title":"Funkcioj Ekvacioj"},{"key":"rf10","first-page":"285","volume":"14","author":"DaPrato G.","journal-title":"Annali Scuola Normale Superiore di Pisa"},{"key":"rf11","series-title":"Graduate Texts in Mathematics","volume-title":"One-Parameter Semigroups of Linear Evolution Equations","volume":"194","author":"Engel K. J.","year":"2000"},{"key":"rf12","first-page":"113","volume":"15","author":"Ezzinbi K.","journal-title":"J. Appl. Math. Stoch. Anal."},{"key":"rf13","first-page":"321","author":"Haddock J.","journal-title":"Applicable Analysis"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4342-7"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(73)90025-9"},{"key":"rf16","volume-title":"Differential and Integral Inequalities","volume":"1","author":"Lakshmintham V.","year":"1969"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1016\/S0362-546X(97)00606-8"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127408020148"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127408020306"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4050-1"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1996.0009"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1023\/A:1021973228398"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127408020434"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4838-5"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127410025600","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T21:15:51Z","timestamp":1565126151000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127410025600"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,2]]},"references-count":24,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2012,5,2]]},"published-print":{"date-parts":[[2010,2]]}},"alternative-id":["10.1142\/S0218127410025600"],"URL":"https:\/\/doi.org\/10.1142\/s0218127410025600","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,2]]}}}