{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,19]],"date-time":"2025-10-19T15:35:00Z","timestamp":1760888100623},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2007,7,5]],"date-time":"2007-07-05T00:00:00Z","timestamp":1183593600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2008,5]]},"DOI":"10.1007\/s10444-007-9037-4","type":"journal-article","created":{"date-parts":[[2007,7,4]],"date-time":"2007-07-04T11:24:13Z","timestamp":1183548253000},"page":"383-399","source":"Crossref","is-referenced-by-count":27,"title":["Stability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations"],"prefix":"10.1007","volume":"28","author":[{"given":"Chengjian","family":"Zhang","sequence":"first","affiliation":[]},{"given":"Stefan","family":"Vandewalle","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2007,7,5]]},"reference":[{"key":"9037_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-4342-7","volume-title":"Introduction to Functional Differential Equations","author":"J.K. Hale","year":"1993","unstructured":"Hale, J.K., Verduyn Lunel, S.M.: Introduction to Functional Differential Equations. Springer, Berlin (1993)"},{"key":"9037_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-017-1965-0","volume-title":"Introduction to the Theory and Applications of Functional Differential Equations","author":"V. Kolmanovskii","year":"1999","unstructured":"Kolmanovskii, V., Myshkis, A.: Introduction to the Theory and Applications of Functional Differential Equations. Kluwer, Dordrecht (1999)"},{"key":"9037_CR3","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1093\/imanum\/17.1.17","volume":"17","author":"K.J. in\u2019t Hout","year":"1997","unstructured":"in\u2019t Hout, K.J.: Stability analysis of Runge\u2013Kutta methods for systems of delay differential equations. IMA J. Numer. Anal. 17, 17\u201327 (1997)","journal-title":"IMA J. Numer. Anal."},{"key":"9037_CR4","doi-asserted-by":"crossref","first-page":"504","DOI":"10.1007\/BF01739823","volume":"35","author":"G. Hu","year":"1995","unstructured":"Hu, G., Mitsui, T.: Stability analysis of numerical methods for systems of neutral delay-differential equations. BIT 35, 504\u2013515 (1995)","journal-title":"BIT"},{"key":"9037_CR5","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/S0377-0427(98)00215-5","volume":"102","author":"G. Hu","year":"1999","unstructured":"Hu, G., Cahlon, B.: Estimations on numerically stable step-size for neutral delay differential systems with multiple delays. J. Comput. Appl. Math. 102, 221\u2013234 (1999)","journal-title":"J. Comput. Appl. Math."},{"key":"9037_CR6","doi-asserted-by":"crossref","unstructured":"Tchangani, A.P., Dambrine, M., Richard, J.P.: Stability of linear differential equations with distributed delay. In: Proceedings of the 36th IEEE Conference on Decision and Control, California, 3779\u20133784, 1997","DOI":"10.1109\/CDC.1997.652446"},{"key":"9037_CR7","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1007\/s002110050399","volume":"81","author":"L. Qiu","year":"1999","unstructured":"Qiu, L., Yang, B., Kuang, J.X.: The NGP-stability of Runge\u2013Kutta methods for systems of neutral delay differential equations. Numer. Math. 81, 451\u2013459 (1999)","journal-title":"Numer. Math."},{"key":"9037_CR8","first-page":"1153","volume":"41","author":"C. Zhang","year":"1998","unstructured":"Zhang, C., Zhou, S.: The asymptotic stability of theoretical and numerical solutions for systems of neutral multidelay-differential equations. Sci. China Ser. A 41, 1153\u20131157 (1998)","journal-title":"Sci. China Ser. A"},{"key":"9037_CR9","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/S0898-1221(99)00209-6","volume":"38","author":"C. Zhang","year":"1999","unstructured":"Zhang, C., Zhou, S.: Stability analysis of LMMs for systems of neutral multidelay-differential equations. Comput. Math. Appl. 38, 113\u2013117 (1999)","journal-title":"Comput. Math. Appl."},{"key":"9037_CR10","first-page":"1","volume":"23","author":"H. Tian","year":"1994","unstructured":"Tian, H., Kuang, J.: The asymptotic behaviour of theoretical solution for the differential equations with several delay terms. J. Shanghai Teachers Univ. 23, 1\u201310 (1994)","journal-title":"J. Shanghai Teachers Univ."},{"key":"9037_CR11","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1016\/0168-9274(92)90027-B","volume":"9","author":"C.T.H. Baker","year":"1992","unstructured":"Baker, C.T.H., Ford, N.J.: Stability properties of a scheme for the approximate solution of a delay integro-differential equation. Appl. Numer. Math. 9, 357\u2013370 (1992)","journal-title":"Appl. Numer. Math."},{"key":"9037_CR12","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1016\/S0377-0427(01)00596-9","volume":"145","author":"T. Koto","year":"2002","unstructured":"Koto, T.: Stability of Runge\u2013Kutta methods for delay integro-differential equations. J. Comput. Appl. Math. 145, 483\u2013492 (2002)","journal-title":"J. Comput. Appl. Math."},{"key":"9037_CR13","doi-asserted-by":"crossref","first-page":"1608","DOI":"10.1137\/S1064827502409717","volume":"25","author":"C. Huang","year":"2004","unstructured":"Huang, C., Vandewalle, S.: An analysis of delay-dependent stability for ordinary and partial differential equations with fixed and distribulated delays. SIAM J. Sci. Comput. 25, 1608\u20131632 (2004)","journal-title":"SIAM J. Sci. Comput."},{"key":"9037_CR14","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1023\/A:1026194503720","volume":"34","author":"T. Luzyanina","year":"2003","unstructured":"Luzyanina, T., Engelborghs, K., Roose, D.: Computing stability of differential equations with bounded and distributed delays. Numer. Algorithms 34, 41\u201366 (2003)","journal-title":"Numer. Algorithms"},{"key":"9037_CR15","volume-title":"The Theory of Matrices","author":"P. Lancaster","year":"1985","unstructured":"Lancaster, P., Tismenetsky, M.: The Theory of Matrices. Academic, Orlando (1985)"},{"key":"9037_CR16","volume-title":"The Numerical Solution of Volterra Equations, CWI Monographs 3","author":"H. Brunner","year":"1986","unstructured":"Brunner, H., van der Houwen, P.: The Numerical Solution of Volterra Equations, CWI Monographs 3. North-Holland, Amsterdam (1986)"},{"key":"9037_CR17","doi-asserted-by":"crossref","unstructured":"Baker, C.T.H., Ford, N.J.: Convergence of linear multistep methods for a class of delay integro-differential equations. In: Int. Series of Numerical Mathematics, Birkhauser, Basel vol. 86, pp. 47\u201359 (1988)","DOI":"10.1007\/978-3-0348-6303-2_4"},{"key":"9037_CR18","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-09947-6","volume-title":"Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems","author":"E. Hairer","year":"1991","unstructured":"Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems. Springer, Berlin (1991)"},{"key":"9037_CR19","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511840371","volume-title":"Topics in Matrix Analysis","author":"R.A. Horn","year":"1991","unstructured":"Horn, R.A., Johnson, C.R.: Topics in Matrix Analysis. Cambridge University Press, Cambridge (1991)"}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-007-9037-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-007-9037-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-007-9037-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T17:08:10Z","timestamp":1559149690000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-007-9037-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,7,5]]},"references-count":19,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2008,5]]}},"alternative-id":["9037"],"URL":"https:\/\/doi.org\/10.1007\/s10444-007-9037-4","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,7,5]]}}}