{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:12Z","timestamp":1740134532850,"version":"3.37.3"},"reference-count":23,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Program for Changjiang Scholars and Innovative Research Team in University","award":["IRT1226","11171078","20114410110002"],"award-info":[{"award-number":["IRT1226","11171078","20114410110002"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["IRT1226","11171078","20114410110002"],"award-info":[{"award-number":["IRT1226","11171078","20114410110002"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Specialized Fund for the Doctoral Program of Higher Education of China","award":["IRT1226","11171078","20114410110002"],"award-info":[{"award-number":["IRT1226","11171078","20114410110002"]}]},{"name":"Guangdong Higher Education Institutes","award":["IRT1226","11171078","20114410110002"],"award-info":[{"award-number":["IRT1226","11171078","20114410110002"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>We prove the existence of homoclinic solutions of a class of nonlinear difference equations with superlinear nonlinearity by using the generalized Nehari manifold approach. For the case where the nonlinearity is odd, we obtain infinitely many homoclinic solutions of the equations. Recent results in the literature are generalized and improved.<\/jats:p>","DOI":"10.1155\/2014\/749678","type":"journal-article","created":{"date-parts":[[2014,2,26]],"date-time":"2014-02-26T01:12:47Z","timestamp":1393377167000},"page":"1-8","source":"Crossref","is-referenced-by-count":1,"title":["Homoclinic Solutions for a Class of Nonlinear Difference Equations"],"prefix":"10.1155","volume":"2014","author":[{"given":"Ali","family":"Mai","sequence":"first","affiliation":[{"name":"School of Mathematics and Information Science, Guangzhou University, Guangdong, Guangzhou 510006, China"},{"name":"Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangdong, Guangzhou 510006, China"},{"name":"Department of Applied Mathematics, Yuncheng University, Shanxi, Yuncheng 044000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhan","family":"Zhou","sequence":"additional","affiliation":[{"name":"School of Mathematics and Information Science, Guangzhou University, Guangdong, Guangzhou 510006, China"},{"name":"Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangdong, Guangzhou 510006, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2008.05.002"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/S0370-1573(97)00068-9"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/S0370-1573(98)00025-8"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-5193(73)90256-7"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.42.1698"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1063\/1.3036182"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2008.11.071"},{"issue":"2","key":"19","first-page":"38","volume":"5","year":"2008","journal-title":"Communications in Mathematical Analysis"},{"volume":"2012","journal-title":"Abstract and Applied Analysis","year":"2012","key":"6"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1080\/00036810902942234"},{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2011.11.038"},{"volume":"2013","journal-title":"Abstract and Applied Analysis","year":"2013","key":"7"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2013.07.042"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/19\/1\/002"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2007.19.419"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1007\/s10440-008-9360-x"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2009.07.026"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2010.03.010"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/23\/7\/011"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1007\/s11425-010-4101-9"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4146-1"},{"key":"11","series-title":"CBMS Regional Conference Series in Mathematics","first-page":"viii+100","volume":"65","year":"1986"},{"first-page":"597","volume-title":"The method of Nehari manifold","year":"2010","key":"15"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/749678.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/749678.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/749678.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,29]],"date-time":"2016-07-29T04:01:54Z","timestamp":1469764914000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/749678\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":23,"alternative-id":["749678","749678"],"URL":"https:\/\/doi.org\/10.1155\/2014\/749678","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}