{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,4]],"date-time":"2026-02-04T19:44:08Z","timestamp":1770234248531,"version":"3.49.0"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2014,1,7]],"date-time":"2014-01-07T00:00:00Z","timestamp":1389052800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Optim Lett"],"published-print":{"date-parts":[[2014,12]]},"DOI":"10.1007\/s11590-013-0719-1","type":"journal-article","created":{"date-parts":[[2014,1,6]],"date-time":"2014-01-06T13:53:26Z","timestamp":1389016406000},"page":"2173-2184","source":"Crossref","is-referenced-by-count":1,"title":["Agreeable solutions of discrete time optimal control problems"],"prefix":"10.1007","volume":"8","author":[{"given":"Alexander J.","family":"Zaslavski","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,1,7]]},"reference":[{"key":"719_CR1","doi-asserted-by":"crossref","first-page":"1094","DOI":"10.1137\/S0363012903427518","volume":"43","author":"SM Aseev","year":"2004","unstructured":"Aseev, S.M., Kryazhimskii, A.V.: The Pontryagin maximum principle and transversality conditions for a class of optimal control problems with infinite time horizons. SIAM J. Control Optim. 43, 1094\u20131119 (2004)","journal-title":"SIAM J. Control Optim."},{"key":"719_CR2","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1016\/0167-2789(83)90233-6","volume":"8","author":"S Aubry","year":"1983","unstructured":"Aubry, S., Le Daeron, P.Y.: The discrete Frenkel-Kontorova model and its extensions I. Phys. D 8, 381\u2013422 (1983)","journal-title":"Phys. D"},{"key":"719_CR3","doi-asserted-by":"crossref","first-page":"188","DOI":"10.1016\/j.sysconle.2006.08.011","volume":"56","author":"J Baumeister","year":"2007","unstructured":"Baumeister, J., Leitao, A., Silva, G.N.: On the value function for nonautonomous optimal control problem with infinite horizon. Syst. Control Lett. 56, 188\u2013196 (2007)","journal-title":"Syst. Control Lett."},{"key":"719_CR4","doi-asserted-by":"crossref","first-page":"411","DOI":"10.1023\/A:1004611816252","volume":"106","author":"J Blot","year":"2000","unstructured":"Blot, J., Cartigny, P.: Optimality in infinite-horizon variational problems under sign conditions. J. Optim. Theory Appl. 106, 411\u2013419 (2000)","journal-title":"J. Optim. Theory Appl."},{"key":"719_CR5","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1051\/cocv:2000111","volume":"5","author":"J Blot","year":"2000","unstructured":"Blot, J., Hayek, N.: Sufficient conditions for infinite-horizon calculus of variations problems. ESAIM Control Optim. Calc. Var. 5, 279\u2013292 (2000)","journal-title":"ESAIM Control Optim. Calc. Var."},{"key":"719_CR6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.2307\/2296567","volume":"34","author":"D Gale","year":"1967","unstructured":"Gale, D.: On optimal development in a multi-sector economy. Rev. Econ. Stud. 34, 1\u201318 (1967)","journal-title":"Rev. Econ. Stud."},{"key":"719_CR7","volume-title":"Consistent Planning and Intertemporal Welfare Economics","author":"PJ Hammond","year":"1974","unstructured":"Hammond, P.J.: Consistent Planning and Intertemporal Welfare Economics. University of Cambridge, Cambridge (1974)"},{"key":"719_CR8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.2307\/2296815","volume":"42","author":"PJ Hammond","year":"1975","unstructured":"Hammond, P.J.: Agreeable plans with many capital goods. Rev. Econ. Stud. 42, 1\u201314 (1975)","journal-title":"Rev. Econ. Stud."},{"key":"719_CR9","doi-asserted-by":"crossref","unstructured":"Hammond, P.J., Mirrlees, J.A.: Agreeable Plans, Models of Economic Growth. Wiley, New York, pp. 283\u2013299 (1973)","DOI":"10.1007\/978-1-349-01650-1_13"},{"key":"719_CR10","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1007\/BF00251430","volume":"106","author":"A Leizarowitz","year":"1989","unstructured":"Leizarowitz, A., Mizel, V.J.: One dimensional infinite horizon variational problems arising in continuum mechanics. Arch. Ration. Mech. Anal. 106, 161\u2013194 (1989)","journal-title":"Arch. Ration. Mech. Anal."},{"key":"719_CR11","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1007\/s11590-010-0189-7","volume":"5","author":"AB Malinowska","year":"2011","unstructured":"Malinowska, A.B., Martins, N., Torres, D.F.M.: Transversality conditions for infinite horizon variational problems on time scales. Optim. Lett. 5, 41\u201353 (2011)","journal-title":"Optim. Lett."},{"key":"719_CR12","doi-asserted-by":"crossref","first-page":"841","DOI":"10.2307\/1911532","volume":"44","author":"LW McKenzie","year":"1976","unstructured":"McKenzie, L.W.: Turnpike theory. Econometrica 44, 841\u2013866 (1976)","journal-title":"Econometrica"},{"key":"719_CR13","doi-asserted-by":"crossref","first-page":"1075","DOI":"10.1080\/00036811003735840","volume":"90","author":"B Mordukhovich","year":"2011","unstructured":"Mordukhovich, B.: Optimal control and feedback design of state-constrained parabolic systems in uncertainly conditions. Appl. Anal. 90, 1075\u20131109 (2011)","journal-title":"Appl. Anal."},{"key":"719_CR14","unstructured":"Ocana, E., Cartigny, P., Loisel, P.: Singular infinite horizon calculus of variations. Applications to fisheries management. J. Nonlinear Convex Anal. 10, 157\u2013176 (2009)"},{"key":"719_CR15","first-page":"451","volume":"37","author":"S Pickenhain","year":"2008","unstructured":"Pickenhain, S., Lykina, V., Wagner, M.: On the lower semicontinuity of functionals involving Lebesgue or improper Riemann integrals in infinite horizon optimal control problems. Control Cybernet. 37, 451\u2013468 (2008)","journal-title":"Control Cybernet."},{"key":"719_CR16","first-page":"486","volume":"55","author":"PA Samuelson","year":"1965","unstructured":"Samuelson, P.A.: A catenary turnpike theorem involving consumption and the golden rule. Am. Econ. Rev. 55, 486\u2013496 (1965)","journal-title":"Am. Econ. Rev."},{"key":"719_CR17","volume-title":"Turnpike Properties in the Calculus of Variations and Optimal Control","author":"AJ Zaslavski","year":"2006","unstructured":"Zaslavski, A.J.: Turnpike Properties in the Calculus of Variations and Optimal Control. Springer, New York (2006)"},{"key":"719_CR18","doi-asserted-by":"crossref","first-page":"2024","DOI":"10.1016\/j.na.2006.08.029","volume":"67","author":"AJ Zaslavski","year":"2007","unstructured":"Zaslavski, A.J.: Turnpike results for a discrete-time optimal control system arising in economic dynamics. Nonlinear Anal. 67, 2024\u20132049 (2007)","journal-title":"Nonlinear Anal."},{"key":"719_CR19","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1007\/s10957-010-9677-2","volume":"145","author":"AJ Zaslavski","year":"2010","unstructured":"Zaslavski, A.J.: Stability of a turnpike phenomenon for a discrete-time optimal control system. J. Optim. Theory Appl. 145, 597\u2013612 (2010)","journal-title":"J. Optim. Theory Appl."},{"key":"719_CR20","first-page":"1","volume":"34","author":"AJ Zaslavski","year":"2011","unstructured":"Zaslavski, A.J.: Structure of approximate solutions for a class of optimal control systems. J. Math. Appl. 34, 1\u201314 (2011)","journal-title":"J. Math. Appl."}],"container-title":["Optimization Letters"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-013-0719-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11590-013-0719-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-013-0719-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T17:11:37Z","timestamp":1559409097000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11590-013-0719-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,1,7]]},"references-count":20,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2014,12]]}},"alternative-id":["719"],"URL":"https:\/\/doi.org\/10.1007\/s11590-013-0719-1","relation":{},"ISSN":["1862-4472","1862-4480"],"issn-type":[{"value":"1862-4472","type":"print"},{"value":"1862-4480","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,1,7]]}}}