{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,4,18]],"date-time":"2023-04-18T23:40:20Z","timestamp":1681861220350},"reference-count":15,"publisher":"Elsevier BV","issue":"2-3","license":[{"start":{"date-parts":[[1999,5,1]],"date-time":"1999-05-01T00:00:00Z","timestamp":925516800000},"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":[[1999,5]]},"DOI":"10.1016\/s0096-3003(98)00016-2","type":"journal-article","created":{"date-parts":[[2003,4,30]],"date-time":"2003-04-30T21:18:06Z","timestamp":1051737486000},"page":"111-130","source":"Crossref","is-referenced-by-count":0,"title":["Multiple bifurcation from \u201csimple\u201d eigenvalues"],"prefix":"10.1016","volume":"100","author":[{"given":"S.H.","family":"Lui","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0096-3003(98)00016-2_bib1","series-title":"Topological Methods in the Theory of Nonlinear Integral Equations","author":"Krasnoselski","year":"1965"},{"key":"10.1016\/S0096-3003(98)00016-2_bib2","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1016\/0022-1236(71)90015-2","article-title":"Bifurcation from simple eigenvalues","volume":"8","author":"Crandall","year":"1971","journal-title":"J. Funct. Anal."},{"key":"10.1016\/S0096-3003(98)00016-2_bib3","article-title":"Group Theoretic Methods in Bifurcation Theory","volume":"vol. 762","author":"Sattinger","year":"1979"},{"key":"10.1016\/S0096-3003(98)00016-2_bib4","doi-asserted-by":"crossref","first-page":"416","DOI":"10.1016\/0022-1236(80)90074-9","article-title":"Degenerate bifurcation at simple eigenvalues and stability of bifurcating solutions","volume":"38","author":"Kielhofer","year":"1980","journal-title":"J. Funct. Anal."},{"key":"10.1016\/S0096-3003(98)00016-2_bib5","doi-asserted-by":"crossref","first-page":"1023","DOI":"10.57262\/die\/1371569541","article-title":"An application to bifurcation problems of cusps in banach spaces","volume":"4","author":"Lupo","year":"1991","journal-title":"Differential Integral Equations"},{"key":"10.1016\/S0096-3003(98)00016-2_bib6","doi-asserted-by":"crossref","first-page":"620","DOI":"10.1137\/1018114","article-title":"Fixed point equations and nonlinear eigenvalue problems in ordered banach spaces","volume":"18","author":"Amann","year":"1976","journal-title":"SIAM Rev."},{"key":"10.1016\/S0096-3003(98)00016-2_bib7","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1137\/1024101","article-title":"On the existence of positive solutions of semilinear elliptic equations","volume":"24","author":"Lions","year":"1982","journal-title":"SIAM Rev."},{"key":"10.1016\/S0096-3003(98)00016-2_bib8","series-title":"CBMS Regional Conference number 65","doi-asserted-by":"crossref","DOI":"10.1090\/cbms\/065","article-title":"Minimax Methods in Critical Point Theory with Applications to Differential Equations","author":"Rabinowitz","year":"1986"},{"key":"10.1016\/S0096-3003(98)00016-2_bib9","series-title":"Nonlinear Diffusion Equations and Their Equibrium States I and II","volume":"vols. 12 and 13","year":"1986"},{"key":"10.1016\/S0096-3003(98)00016-2_bib10","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1016\/0022-247X(80)90090-6","article-title":"Multiple limit point bifurcation","volume":"75","author":"Decker","year":"1980","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/S0096-3003(98)00016-2_bib11","series-title":"Applications of Bifurcation Theory","article-title":"Numerical solutions of bifurcation and nonlinear eigenvalue problems","author":"Keller","year":"1977"},{"key":"10.1016\/S0096-3003(98)00016-2_bib12","doi-asserted-by":"crossref","first-page":"460","DOI":"10.1137\/0150027","article-title":"Complex bifurcation from real paths","volume":"50","author":"Henderson","year":"1990","journal-title":"SIAM J. Appl. Math."},{"key":"10.1016\/S0096-3003(98)00016-2_bib13","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1137\/0907024","article-title":"A direct method for computing higher order folds","volume":"7","author":"Yang","year":"1986","journal-title":"SIAM J. Sci. Statist. Comput."},{"key":"10.1016\/S0096-3003(98)00016-2_bib14","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1137\/0729015","article-title":"Solving eigenvalue problems of real nonsymmetric matrices with real homotopies","volume":"29","author":"Li","year":"1992","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/S0096-3003(98)00016-2_bib15","doi-asserted-by":"crossref","first-page":"312","DOI":"10.1137\/S0895479894273900","article-title":"Homotopy method for the large sparse nonsymmetric eigenvalue problem","volume":"19","author":"Lui","year":"1997","journal-title":"SIAM J. Matrix Anal. Appl."}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300398000162?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300398000162?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2023,4,18]],"date-time":"2023-04-18T23:13:35Z","timestamp":1681859615000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300398000162"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,5]]},"references-count":15,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[1999,5]]}},"alternative-id":["S0096300398000162"],"URL":"https:\/\/doi.org\/10.1016\/s0096-3003(98)00016-2","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[1999,5]]}}}