{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T19:36:27Z","timestamp":1778787387915,"version":"3.51.4"},"reference-count":16,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[2008,12,1]],"date-time":"2008-12-01T00:00:00Z","timestamp":1228089600000},"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":[[2008,12]]},"DOI":"10.1016\/j.amc.2008.05.048","type":"journal-article","created":{"date-parts":[[2008,5,16]],"date-time":"2008-05-16T12:51:07Z","timestamp":1210942267000},"page":"678-684","source":"Crossref","is-referenced-by-count":5,"title":["Optimal control of parabolic systems with infinite time horizons"],"prefix":"10.1016","volume":"206","author":[{"given":"M.A.","family":"Bokhari","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"I.S.","family":"Sadek","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.amc.2008.05.048_bib1","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1007\/BF02333307","article-title":"A semi-numerical method for solving inverse heat conduction problems","volume":"31","author":"Taler","year":"1996","journal-title":"Heat and Mass Transfer"},{"issue":"2","key":"10.1016\/j.amc.2008.05.048_bib2","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1016\/j.jedc.2004.11.006","article-title":"An infinite-horizon maximum principle with bounds on the adjoint variable","volume":"30","author":"Weber","year":"2006","journal-title":"Journal of Economic Dynamics and Control"},{"issue":"2","key":"10.1016\/j.amc.2008.05.048_bib3","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1017\/S1446181100009950","article-title":"Optimal control on an infinite domain","volume":"47","author":"Craven","year":"2005","journal-title":"ANZIAM Journal"},{"key":"10.1016\/j.amc.2008.05.048_bib4","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1002\/(SICI)1099-1514(199805\/06)19:3<205::AID-OCA613>3.0.CO;2-W","article-title":"Optimal control of a parabolic distributed parameter system via orthogonal polynomials","volume":"19","author":"Sadek","year":"1998","journal-title":"Optimal Control Applications and Methods"},{"key":"10.1016\/j.amc.2008.05.048_bib5","doi-asserted-by":"crossref","first-page":"1253","DOI":"10.1016\/j.mcm.2006.10.008","article-title":"A computational method for solving optimal control of a system of parallel beams using Legendre wavelets","volume":"45","author":"Sadek","year":"2007","journal-title":"Mathematical and Computer Modeling"},{"key":"10.1016\/j.amc.2008.05.048_bib6","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1080\/1055678021000012444","article-title":"Optimal control of heat source in a heat conductivity problem","volume":"17","author":"Subasi","year":"2002","journal-title":"Optimization Methods and Software"},{"key":"10.1016\/j.amc.2008.05.048_bib7","doi-asserted-by":"crossref","first-page":"121149","DOI":"10.1016\/j.cam.2005.03.061","article-title":"Implicit Taylor methods for parabolic problems with nonsmooth data and applications to optimal heat control","volume":"188","author":"Al-Zanaidi","year":"2006","journal-title":"Journal of Computational and Applied Mathematics"},{"key":"10.1016\/j.amc.2008.05.048_bib8","doi-asserted-by":"crossref","first-page":"435444","DOI":"10.1115\/1.1286365","article-title":"A reduction method for the boundary control of the heat conduction equation","volume":"122","author":"Park","year":"2000","journal-title":"Journal of Dynamic Systems, Measurement, and Control"},{"key":"10.1016\/j.amc.2008.05.048_bib9","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1016\/S0096-3003(01)00011-X","article-title":"Optimal boundary control of the heat equation with target function at terminal time","volume":"127","author":"Ji","year":"2002","journal-title":"Applied Mathematics and Computation"},{"key":"10.1016\/j.amc.2008.05.048_bib10","series-title":"Parallel Algorithms and Cluster Computing. Implementations, Algorithms, and Applications","article-title":"Numerical Solution of optimal control problems for parabolic systems","volume":"vol. 52","author":"Benner","year":"2006"},{"key":"10.1016\/j.amc.2008.05.048_bib11","doi-asserted-by":"crossref","unstructured":"W. Brock, A. Xepapadeas, Diffusion-induced instability and pattern formation in infinite horizon recursive optimal control, The Beijer International Institute of Ecological Economics, Swedish Academic of Sciences Discussion Paper, 205\/2006, SSRN. <http:\/\/ssrn.com\/abstract=895682>.","DOI":"10.2139\/ssrn.895682"},{"key":"10.1016\/j.amc.2008.05.048_bib12","doi-asserted-by":"crossref","unstructured":"W. Brock, A. Xepapadeas, Optimal control and spatial heterogeneity: pattern formation in economic\u2013ecological models, in: The Third Workshop on Spatial-Dynamic Models of Economics and Ecosystems held in Trieste on 13\u201315 April 2005.","DOI":"10.2139\/ssrn.773925"},{"issue":"3","key":"10.1016\/j.amc.2008.05.048_bib13","doi-asserted-by":"crossref","first-page":"1094","DOI":"10.1137\/S0363012903427518","article-title":"The Pontryagin maximum principle and transversality conditions for a class of optimal control problems with infinite time horizons","volume":"43","author":"Aseev","year":"2004","journal-title":"SIAM Journal on Control and Optimization"},{"key":"10.1016\/j.amc.2008.05.048_bib14","series-title":"Economic Growth","author":"Barro","year":"1995"},{"key":"10.1016\/j.amc.2008.05.048_bib15","unstructured":"M.A. Bokhari, H. Al-Attas, Orthogonal Exponential Zero-Interpolants: Theoretical and Computational Aspects, Technical Report # 278, Department of Mathematics and Statistics, KFUPM, Saudi Arabia, 2007. <http:\/\/www.kfupm.edu.sa\/math>."},{"key":"10.1016\/j.amc.2008.05.048_bib16","doi-asserted-by":"crossref","first-page":"772","DOI":"10.1109\/TCS.1978.1084534","article-title":"Kronecker products and matrix calculus in system theory","volume":"25","author":"Brewer","year":"1978","journal-title":"IEEE Transactions on Circuit Systems"}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300308003913?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300308003913?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,5,11]],"date-time":"2019-05-11T08:47:31Z","timestamp":1557564451000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300308003913"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,12]]},"references-count":16,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2008,12]]}},"alternative-id":["S0096300308003913"],"URL":"https:\/\/doi.org\/10.1016\/j.amc.2008.05.048","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[2008,12]]}}}