{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T11:17:30Z","timestamp":1742987850712,"version":"3.40.3"},"publisher-location":"New York, NY","reference-count":9,"publisher":"Springer New York","isbn-type":[{"type":"print","value":"9781461473329"},{"type":"electronic","value":"9781461473336"}],"license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-1-4614-7333-6_42","type":"book-chapter","created":{"date-parts":[[2013,9,13]],"date-time":"2013-09-13T21:12:38Z","timestamp":1379106758000},"page":"475-483","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Analysis and Computational Approximation of a Forward\u2013Backward Equation Arising in Nerve Conduction"],"prefix":"10.1007","author":[{"given":"P. M.","family":"Lima","sequence":"first","affiliation":[]},{"given":"M. F.","family":"Teodoro","sequence":"additional","affiliation":[]},{"given":"N. J.","family":"Ford","sequence":"additional","affiliation":[]},{"given":"P. M.","family":"Lumb","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,7,29]]},"reference":[{"key":"42_CR1","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1093\/imammb\/1.2.149","volume":"1","author":"J. Bell","year":"1984","unstructured":"Bell, J.: Behaviour of some models of myelinated axons. IMA J. Math. Appl. Med. Biol. 1, 149\u2013167 (1984)","journal-title":"IMA J. Math. Appl. Med. Biol."},{"key":"42_CR2","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1007\/BF00275909","volume":"18","author":"J. Bell","year":"1983","unstructured":"Bell, J., Cosner, C.: Threshold conditions for a diffusive model of a myelinated axon. J. Math. Biol. 18, 39\u201352 (1983)","journal-title":"J. Math. Biol."},{"key":"42_CR3","doi-asserted-by":"publisher","first-page":"583","DOI":"10.1007\/BF00275686","volume":"24","author":"H. Chi","year":"1986","unstructured":"Chi, H., Bell, J., Hassard, B.: Numerical solution of a nonlinear advance-delay-differential equation from nerve conduction theory. J. Math. Biol. 24, 583\u2013601 (1986)","journal-title":"J. Math. Biol."},{"key":"42_CR4","doi-asserted-by":"publisher","first-page":"471","DOI":"10.1016\/j.cam.2008.04.016","volume":"229","author":"N. Ford","year":"2009","unstructured":"Ford, N., Lumb, P.: Mixed-type functional differential equations: a numerical approach. J. Comput. Appl. Math. 229, 471\u2013479 (2009)","journal-title":"J. Comput. Appl. Math."},{"key":"42_CR5","doi-asserted-by":"publisher","first-page":"2745","DOI":"10.1016\/j.cam.2010.01.039","volume":"234","author":"N. Ford","year":"2010","unstructured":"Ford, N., Lumb, P., Lima, P., Teodoro, F.: The numerical solution of forward\u2013backward differential equations: Decomposition and related issues. J. Comput. Appl. Math. 234, 2745\u20132756 (2010)","journal-title":"J. Comput. Appl. Math."},{"key":"42_CR6","doi-asserted-by":"publisher","first-page":"2826","DOI":"10.1016\/j.cam.2010.01.028","volume":"234","author":"P. Lima","year":"2010","unstructured":"Lima, P., Teodoro, F., Ford, N., Lumb, P.: Analytical and numerical investigation of mixed-type functional differential equations. J. Comput. Appl. Math. 234, 2826\u20132837 (2010)","journal-title":"J. Comput. Appl. Math."},{"key":"42_CR7","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1007\/s11075-010-9412-y","volume":"55","author":"P. Lima","year":"2010","unstructured":"Lima, P., Teodoro, F., Ford, N., Lumb, P.: Finite element solution of a linear mixed-type functional differential equation. Numer. Algorithms 55, 301\u2013320 (2010)","journal-title":"Numer. Algorithms"},{"key":"42_CR8","first-page":"73","volume-title":"Mixed-type functional differential equations, holomorphic factorization and applications","author":"J. Mallet-Paret","year":"2005","unstructured":"Mallet-Paret, J., Verduyn Lunel, S.: Mixed-type functional differential equations, holomorphic factorization and applications. Proceedings of Equadiff 2003, International Conference on Differential Equations, HASSELT 2003, pp. 73\u201389. World Scientific, Singapore (2005)"},{"issue":"1","key":"42_CR9","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1007\/s11464-009-0006-8","volume":"4","author":"F. Teodoro","year":"2009","unstructured":"Teodoro, F., Lima, P., Ford, N., Lumb, P.: New approach to the numerical solution of forward\u2013backward equations. Front. Math. China 4(1), 155\u2013168 (2009)","journal-title":"Front. Math. China"}],"container-title":["Springer Proceedings in Mathematics &amp; Statistics","Differential and Difference Equations with Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-1-4614-7333-6_42","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,14]],"date-time":"2023-02-14T01:28:23Z","timestamp":1676338103000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-1-4614-7333-6_42"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9781461473329","9781461473336"],"references-count":9,"URL":"https:\/\/doi.org\/10.1007\/978-1-4614-7333-6_42","relation":{},"ISSN":["2194-1009","2194-1017"],"issn-type":[{"type":"print","value":"2194-1009"},{"type":"electronic","value":"2194-1017"}],"subject":[],"published":{"date-parts":[[2013]]},"assertion":[{"value":"29 July 2013","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}