{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,9]],"date-time":"2026-07-09T21:00:42Z","timestamp":1783630842118,"version":"3.55.0"},"reference-count":18,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[2004,3,1]],"date-time":"2004-03-01T00:00:00Z","timestamp":1078099200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Applied Mathematics and Computation"],"published-print":{"date-parts":[[2004,3]]},"DOI":"10.1016\/s0096-3003(03)00341-2","type":"journal-article","created":{"date-parts":[[2003,7,7]],"date-time":"2003-07-07T13:47:57Z","timestamp":1057585677000},"page":"287-292","source":"Crossref","is-referenced-by-count":510,"title":["The homotopy perturbation method for nonlinear oscillators with discontinuities"],"prefix":"10.1016","volume":"151","author":[{"given":"Ji-Huan","family":"He","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"issue":"7","key":"10.1016\/S0096-3003(03)00341-2_BIB1","doi-asserted-by":"crossref","first-page":"1447","DOI":"10.1063\/1.528326","article-title":"A new perturbative approach to nonlinear problems","volume":"30","author":"Bender","year":"1989","journal-title":"Journal of Mathematical Physics"},{"issue":"4","key":"10.1016\/S0096-3003(03)00341-2_BIB2","doi-asserted-by":"crossref","DOI":"10.1515\/IJNSNS.2000.1.4.327","article-title":"Construction of periodic solution to partial differential equations with nonlinear boundary conditions","volume":"1","author":"Andrianov","year":"2000","journal-title":"International Journal of Nonlinear Sciences and Numerical Simulation"},{"issue":"6","key":"10.1016\/S0096-3003(03)00341-2_BIB3","doi-asserted-by":"crossref","first-page":"634","DOI":"10.1007\/BF02437646","article-title":"A note on delta-perturbation expansion method","volume":"23","author":"He","year":"2002","journal-title":"Applied Mathematics and Mechanics"},{"issue":"10","key":"10.1016\/S0096-3003(03)00341-2_BIB4","doi-asserted-by":"crossref","first-page":"957","DOI":"10.1007\/BF02457955","article-title":"Homotopy analysis method: a new analytic method for nonlinear problems","volume":"19","author":"Liao","year":"1998","journal-title":"Applied Mathematics and Mechanics (English-Ed.)"},{"key":"10.1016\/S0096-3003(03)00341-2_BIB5","unstructured":"J.H. He, Comparison of Homotopy Perturbation Method and Homotopy Analysis Method, International Congress of Mathematicians, Beijing, 20\u201328 August, 2002"},{"issue":"4","key":"10.1016\/S0096-3003(03)00341-2_BIB6","doi-asserted-by":"crossref","first-page":"699","DOI":"10.1016\/S0020-7462(98)00048-1","article-title":"Variational iteration method: a kind of nonlinear analytical technique: some examples","volume":"34","author":"He","year":"1999","journal-title":"International Journal of Nonlinear Mechanics"},{"issue":"3","key":"10.1016\/S0096-3003(03)00341-2_BIB7","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1515\/IJNSNS.2001.2.3.257","article-title":"Bookkeeping parameter in perturbation methods","volume":"2","author":"He","year":"2001","journal-title":"International Journal of Non-Linear Sciences and Numerical Simulation"},{"issue":"1","key":"10.1016\/S0096-3003(03)00341-2_BIB8","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1515\/IJNSNS.2000.1.1.51","article-title":"A review on some new recently developed nonlinear analytical techniques","volume":"1","author":"He","year":"2000","journal-title":"International Journal of Nonlinear Sciences and Numerical Simulation"},{"key":"10.1016\/S0096-3003(03)00341-2_BIB9","series-title":"Introduction to Perturbation Techniques","author":"Nayfeh","year":"1981"},{"issue":"2","key":"10.1016\/S0096-3003(03)00341-2_BIB10","doi-asserted-by":"crossref","first-page":"92","DOI":"10.1016\/S1007-5704(98)90070-3","article-title":"An approximate solution technique depending upon an artificial parameter","volume":"3","author":"He","year":"1998","journal-title":"Communications in Nonlinear Science and Numerical Simulation"},{"issue":"3\/4","key":"10.1016\/S0096-3003(03)00341-2_BIB11","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1016\/S0045-7825(99)00018-3","article-title":"Homotopy perturbation technique","volume":"178","author":"He","year":"1999","journal-title":"Computer Methods in Applied Mechanics and Engineering"},{"issue":"1","key":"10.1016\/S0096-3003(03)00341-2_BIB12","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1016\/S0020-7462(98)00085-7","article-title":"A coupling method of homotopy technique and perturbation technique for nonlinear problems","volume":"35","author":"He","year":"2000","journal-title":"International Journal of Non-Linear Mechanics"},{"key":"10.1016\/S0096-3003(03)00341-2_BIB13","series-title":"Gongcheng Yu Kexue zhong de jinshi feixianxing feixi fangfa (in Chinese), Asymptotic Methods In Engineering and Sciences","author":"He","year":"2002"},{"key":"10.1016\/S0096-3003(03)00341-2_BIB14","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1023\/A:1010349221054","article-title":"A modified perturbation technique depending upon an artificial parameter","volume":"35","author":"He","year":"2000","journal-title":"Meccanica"},{"issue":"2","key":"10.1016\/S0096-3003(03)00341-2_BIB15","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1016\/S0020-7462(00)00116-5","article-title":"Modified Lindstedt\u2013Poincare methods for some strongly nonlinear oscillations. Part I: expansion of a constant","volume":"37","author":"He","year":"2002","journal-title":"International Journal of Non-Linear Mechanics"},{"issue":"2","key":"10.1016\/S0096-3003(03)00341-2_BIB16","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1016\/S0020-7462(00)00117-7","article-title":"Modified Lindstedt\u2013Poincare methods for some strongly nonlinear oscillations. Part II: a new transformation","volume":"37","author":"He","year":"2002","journal-title":"International Journal of Non-Linear Mechanics"},{"issue":"4","key":"10.1016\/S0096-3003(03)00341-2_BIB17","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1515\/IJNSNS.2001.2.4.317","article-title":"Modified Lindstedt\u2013Poincare methods for some strongly nonlinear oscillations. Part III: double series expansion","volume":"2","author":"He","year":"2001","journal-title":"International Journal of Non-Linear Sciences and Numerical Simulation"},{"key":"10.1016\/S0096-3003(03)00341-2_BIB18","series-title":"Solving Equations with Physical Understanding","author":"Acton","year":"1985"}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300303003412?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300303003412?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,18]],"date-time":"2019-03-18T09:01:16Z","timestamp":1552899676000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300303003412"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,3]]},"references-count":18,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2004,3]]}},"alternative-id":["S0096300303003412"],"URL":"https:\/\/doi.org\/10.1016\/s0096-3003(03)00341-2","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[2004,3]]}}}