{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,8]],"date-time":"2026-01-08T10:39:41Z","timestamp":1767868781540,"version":"3.49.0"},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1969,3,1]],"date-time":"1969-03-01T00:00:00Z","timestamp":-26438400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Systems Theory"],"published-print":{"date-parts":[[1969,3]]},"DOI":"10.1007\/bf01695624","type":"journal-article","created":{"date-parts":[[2005,5,15]],"date-time":"2005-05-15T02:08:37Z","timestamp":1116122917000},"page":"17-50","source":"Crossref","is-referenced-by-count":24,"title":["Contributions to the theory of generalized differential equations. I."],"prefix":"10.1007","volume":"3","author":[{"suffix":"Jr.","given":"T. F.","family":"Bridgland","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"BF01695624_CR1","first-page":"1","volume":"63","author":"A. Marchaud","year":"1934","unstructured":"A. Marchaud, Sur les champs des demi-droites et les \u00e9quations diff\u00e9rentielles du premier ordre,Bull. Soc. Math. France 63 (1934), 1\u201338.","journal-title":"Bull. Soc. Math. France"},{"key":"BF01695624_CR2","first-page":"89","volume":"3","author":"A. Marchaud","year":"1936","unstructured":"A. Marchaud, Sur les champs continus de demi-cones convexes et leurs int\u00e9grales,Compositio Math. 3 (1936), 89\u2013127.","journal-title":"Compositio Math."},{"key":"BF01695624_CR3","first-page":"139","volume":"60","author":"S. C. Zaremba","year":"1936","unstructured":"S. C. Zaremba, Sur les \u00e9quations au paratingent,Bull. Sci. Math. (2)60 (1936), 139\u2013160.","journal-title":"Bull. Sci. Math. (2)"},{"key":"BF01695624_CR4","first-page":"151","volume":"9","author":"T. Wa\u017cewski","year":"1961","unstructured":"T. Wa\u017cewski, Syst\u00e8mes de commande et \u00e9quations au contingent,Bull. Acad. Polon. Sci. 9 (1961), 151\u2013155.","journal-title":"Bull. Acad. Polon. Sci."},{"key":"BF01695624_CR5","first-page":"865","volume":"9","author":"T. Wa\u017cewski","year":"1961","unstructured":"T. Wa\u017cewski, Sur une condition \u00e9quivalente \u00e0 l'\u00e9quation au contingent,Bull. Acad. Polon. Sci. 9 (1961), 865\u2013867.","journal-title":"Bull. Acad. Polon. Sci."},{"key":"BF01695624_CR6","doi-asserted-by":"crossref","first-page":"188","DOI":"10.1016\/0022-0396(65)90019-7","volume":"1","author":"E. Roxin","year":"1965","unstructured":"E. Roxin, On generalized dynamical systems defined by contingent equations,J. Differential Equations 1 (1965), 188\u2013205.","journal-title":"J. Differential Equations"},{"key":"BF01695624_CR7","first-page":"76","volume":"1","author":"A. F. Filippov","year":"1962","unstructured":"A. F. Filippov, On certain questions in the theory of optimal control,J. SIAM Control Ser. A 1 (1962), 76\u201384.","journal-title":"J. SIAM Control Ser. A"},{"key":"BF01695624_CR8","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1307\/mmj\/1028998668","volume":"9","author":"E. Roxin","year":"1962","unstructured":"E. Roxin, The existence of optimal controls,Michigan Math. J. 9 (1962), 109\u2013119.","journal-title":"Michigan Math. J."},{"key":"BF01695624_CR9","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1090\/S0002-9939-1967-0221355-8","volume":"18","author":"T. F. Bridgland Jr.","year":"1967","unstructured":"T. F. Bridgland, Jr., andJ. S. Hinkel, The minimum miss distance problem,Proc. Amer. Math. Soc. 18 (1967), 457\u2013464.","journal-title":"Proc. Amer. Math. Soc."},{"key":"BF01695624_CR10","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1016\/0022-0396(65)90002-1","volume":"1","author":"H. Hermes","year":"1965","unstructured":"H. Hermes, The equivalence and approximation of optimal control problems,J. Differential Equations 1 (1965), 409\u2013426.","journal-title":"J. Differential Equations"},{"key":"BF01695624_CR11","doi-asserted-by":"crossref","first-page":"326","DOI":"10.1137\/0305022","volume":"5","author":"T. F. Bridgland Jr.","year":"1967","unstructured":"T. F. Bridgland, Jr., On the problem of approximate synthesis of optimal controls,J. SIAM Control 5 (1967), 326\u2013344;ibid. 6 (1968), 58.","journal-title":"J. SIAM Control"},{"key":"BF01695624_CR12","volume-title":"Ordinary Differential Equations","author":"P. Hartman","year":"1964","unstructured":"P. Hartman,Ordinary Differential Equations, J. Wiley & Sons, New York, 1964."},{"key":"BF01695624_CR13","first-page":"941","volume":"4","author":"A. F. Filippov","year":"1963","unstructured":"A. F. Filippov, Differential equations with many-valued discontinuous right-hand side,Soviet Math. 4 (1963), 941\u2013945.","journal-title":"Soviet Math."},{"key":"BF01695624_CR14","volume-title":"Theorie der Konvexen K\u00f6rper","author":"T. Bonnesen","year":"1948","unstructured":"T. Bonnesen andW. Fenchel,Theorie der Konvexen K\u00f6rper, Chelsea Publ. Co., New York, 1948."},{"key":"BF01695624_CR15","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511566172","volume-title":"Convexity","author":"H. G. Eggleston","year":"1958","unstructured":"H. G. Eggleston,Convexity, Cambridge University Press, Cambridge, 1958."},{"key":"BF01695624_CR16","volume-title":"Convex Sets","author":"F. A. Valentine","year":"1964","unstructured":"F. A. Valentine,Convex Sets, McGraw-Hill, New York, 1964."},{"key":"BF01695624_CR17","unstructured":"E. W. Hobson,The Theory of Functions of a Real Variable and the Theory of Fourier Series, Vol. II, Dover, New York, 1957."},{"key":"BF01695624_CR18","volume-title":"General Theory of Functions and Integration","author":"A. E. Taylor","year":"1965","unstructured":"A. E. Taylor,General Theory of Functions and Integration, Blaisdell, New York, 1965."},{"key":"BF01695624_CR19","volume-title":"Differential Inequalities","author":"J. Szarski","year":"1965","unstructured":"J. Szarski,Differential Inequalities, Polish Scientific Publishers, Warsaw, 1965."},{"key":"BF01695624_CR20","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1007\/BF01691345","volume":"2","author":"T. F. Bridgland Jr.","year":"1968","unstructured":"T. F. Bridgland, Jr., A criterion for weak controllability,Math. Systems Theory 2 (1968), 51\u201356.","journal-title":"Math. Systems Theory"},{"key":"BF01695624_CR21","first-page":"A63","volume":"263","author":"C. Castaing","year":"1966","unstructured":"C. Castaing, Sur les \u00e9quations diff\u00e9rentielles multivoques,C. R. Acad. Sci. Paris 263 (1966), A63-A66.","journal-title":"C. R. Acad. Sci. Paris"},{"key":"BF01695624_CR22","first-page":"110","volume":"135","author":"E. A. Barbashin","year":"1949","unstructured":"E. A. Barbashin, On the theory of generalized dynamical systems,Uchen. Zapiski Moskov. Gos. Univ. No. 135 (1949), 110\u2013133.","journal-title":"Uchen. Zapiski Moskov. Gos. Univ."},{"key":"BF01695624_CR23","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/0022-0396(65)90015-X","volume":"1","author":"E. Roxin","year":"1965","unstructured":"E. Roxin, Stability in general control systems,J. Differential Equations 1 (1965), 115\u2013150.","journal-title":"J. Differential Equations"},{"key":"BF01695624_CR24","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1137\/0305009","volume":"5","author":"P. P. Varaiya","year":"1967","unstructured":"P. P. Varaiya, On the existence of solutions to a differential game,J. SIAM Control 5 (1967), 153\u2013162.","journal-title":"J. SIAM Control"},{"key":"BF01695624_CR25","first-page":"491","volume-title":"Proc. U.S.-Japan Seminar on Diff. and Functional Equations","author":"E. O. Roxin","year":"1967","unstructured":"E. O. Roxin, On Varaiya's definition of a differential game,Proc. U.S.-Japan Seminar on Diff. and Functional Equations (ed. W. A. Harris, Jr., and Y. Sibuya), pp. 491\u2013495, W. A. Benjamin Inc., New York, 1967."}],"container-title":["Mathematical Systems Theory"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01695624.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01695624\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01695624","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,7]],"date-time":"2019-05-07T16:07:42Z","timestamp":1557245262000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01695624"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1969,3]]},"references-count":25,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1969,3]]}},"alternative-id":["BF01695624"],"URL":"https:\/\/doi.org\/10.1007\/bf01695624","relation":{},"ISSN":["0025-5661","1433-0490"],"issn-type":[{"value":"0025-5661","type":"print"},{"value":"1433-0490","type":"electronic"}],"subject":[],"published":{"date-parts":[[1969,3]]}}}