{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:48:08Z","timestamp":1753886888681,"version":"3.41.2"},"reference-count":18,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,7,16]],"date-time":"2012-07-16T00:00:00Z","timestamp":1342396800000},"content-version":"vor","delay-in-days":197,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>The continuability, boundedness, monotonicity, and asymptotic properties of nonoscillatory solutions for a class of second\u2010order nonlinear differential equations  are discussed without monotonicity assumption for function <jats:italic>g<\/jats:italic>. It is proved that all solutions can be extended to infinity, are eventually monotonic, and can be classified into disjoint classes that are fully characterized in terms of several integral conditions. Moreover, necessary and sufficient conditions for the existence of solutions in each class and for the boundedness of all solutions are established.<\/jats:p>","DOI":"10.1155\/2012\/313725","type":"journal-article","created":{"date-parts":[[2012,7,19]],"date-time":"2012-07-19T00:14:52Z","timestamp":1342656892000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Nonoscillatory Solutions of Second\u2010Order Differential Equations without Monotonicity Assumptions"],"prefix":"10.1155","volume":"2012","author":[{"given":"Lianwen","family":"Wang","sequence":"first","affiliation":[]},{"given":"Rhonda","family":"McKee","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,7,16]]},"reference":[{"key":"e_1_2_6_1_2","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1515\/GMJ.2000.269","article-title":"On the dynamics of the generalized Emden-Fowler equation","volume":"7","author":"Cecchi M.","year":"2000","journal-title":"Georgian Mathematical Journal"},{"key":"e_1_2_6_2_2","first-page":"419","article-title":"On nonoscillatory solutions of differential equations with p-Laplacian","volume":"11","author":"Cecchi M.","year":"2001","journal-title":"Advances in Mathematical Sciences and Applications"},{"key":"e_1_2_6_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(89)90165-4"},{"key":"e_1_2_6_4_2","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1995.1079"},{"key":"e_1_2_6_5_2","doi-asserted-by":"publisher","DOI":"10.2307\/2048775"},{"key":"e_1_2_6_6_2","series-title":"Research Notes in Mathematics","volume-title":"Nonlinear Partial Differential Equations and Free Boundaries. Vol. I","author":"D\u00edaz J. I.","year":"1985"},{"key":"e_1_2_6_7_2","series-title":"North-Holland Mathematics Studies","volume-title":"Half-linear Differential Equations","author":"Do\u0161l\u00fd O.","year":"2005"},{"key":"e_1_2_6_8_2","first-page":"673","article-title":"Asymptotic forms of positive solutions of second-order quasilinear ordinary differential equations","volume":"10","author":"Kamo K. I.","year":"2000","journal-title":"Advances in Mathematical Sciences and Applications"},{"key":"e_1_2_6_9_2","first-page":"35","article-title":"Asymptotic forms of positive solutions of second-order quasilinear ordinary differential equations with sub-homogeneity","volume":"31","author":"Kamo K. I.","year":"2001","journal-title":"Hiroshima Mathematical Journal"},{"key":"e_1_2_6_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/0362-546X(84)90048-8"},{"key":"e_1_2_6_11_2","first-page":"189","article-title":"On nonoscillatory solutions of a second-order nonlinear differential equation","volume":"3","author":"Marini M.","year":"1984","journal-title":"Bollettino della Unione Matematica Italiana C"},{"key":"e_1_2_6_12_2","series-title":"Folia Facultatis Scientiarium Naturalium Universitatis Masarykianae Brunensis. Mathematica","volume-title":"Asymptotic Properties of Solutions of Systems of Nonlinear Nonautonomous Ordinary Differential Equations","author":"Mirzov J. D.","year":"2004"},{"key":"e_1_2_6_13_2","doi-asserted-by":"crossref","first-page":"51","DOI":"10.32917\/hmj\/1151007642","article-title":"Asymptotic behavior of solutions of a class of second order quasilinear ordinary differential equations","volume":"32","author":"Mizukami M.","year":"2002","journal-title":"Hiroshima Mathematical Journal"},{"key":"e_1_2_6_14_2","first-page":"665","article-title":"On the monotonicity of solutions for a class of nonlinear differential equations of second order","volume":"37","author":"Nagabuchi Y.","year":"1992","journal-title":"Mathematica Japonica"},{"key":"e_1_2_6_15_2","first-page":"907","article-title":"Existence and asymptotic behavior of positive solutions of second order quasilinear differential equations","volume":"9","author":"Tanigawa T.","year":"1999","journal-title":"Advances in Mathematical Sciences and Applications"},{"key":"e_1_2_6_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2008.03.042"},{"key":"e_1_2_6_17_2","first-page":"1","article-title":"Continuability and boundedness of solutions to nonlinear second-order differential equations","volume":"2010","author":"Wang L.","year":"2010","journal-title":"Electronic Journal of Differential Equations"},{"key":"e_1_2_6_18_2","first-page":"53","article-title":"Monotonicity and asymptotic behavior of solutions for second-order differential equations","author":"Wang L.","year":"2012","journal-title":"Journal of Nonlinear Systems and Applications"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/313725.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/313725.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/313725","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T07:09:19Z","timestamp":1718089759000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/313725"}},"subtitle":[],"editor":[{"given":"Chong","family":"Lin","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":18,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/313725"],"URL":"https:\/\/doi.org\/10.1155\/2012\/313725","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2012,1]]},"assertion":[{"value":"2012-03-25","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-06-07","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-07-16","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"313725"}}