{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T09:07:03Z","timestamp":1725613623800},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642239816"},{"type":"electronic","value":"9783642239823"}],"license":[{"start":{"date-parts":[[2011,1,1]],"date-time":"2011-01-01T00:00:00Z","timestamp":1293840000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2011]]},"DOI":"10.1007\/978-3-642-23982-3_8","type":"book-chapter","created":{"date-parts":[[2011,9,24]],"date-time":"2011-09-24T01:47:44Z","timestamp":1316828864000},"page":"57-64","source":"Crossref","is-referenced-by-count":0,"title":["Multiple Solutions for Resonant Difference Equations"],"prefix":"10.1007","author":[{"given":"Shuli","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianming","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"8_CR1","first-page":"93","volume":"2","author":"R.P. Agarwal","year":"2005","unstructured":"Agarwal, R.P., Perera, K., O\u2019Regan, D.: Multiple positive solutions of singular discrete p-Laplacian problems via variational methods. Adv. Difference Equ.\u00a02, 93\u201399 (2005)","journal-title":"Adv. Difference Equ."},{"key":"8_CR2","doi-asserted-by":"publisher","first-page":"419","DOI":"10.1016\/0362-546X(95)00167-T","volume":"28","author":"T. Bartsch","year":"1997","unstructured":"Bartsch, T., Li, S.J.: Critical point theory for asympotically quadratic functional and application to the problems with resonance. Nonlinear Anal.\u00a028, 419\u2013441 (1997)","journal-title":"Nonlinear Anal."},{"key":"8_CR3","doi-asserted-by":"publisher","first-page":"605","DOI":"10.1080\/00036810902942242","volume":"88","author":"G. Bonanno","year":"2009","unstructured":"Bonanno, G., Candito, P.: Infinitely many solutions for a class of discrete non-linear boundary value problems. Appl. Anal.\u00a088, 605\u2013616 (2009)","journal-title":"Appl. Anal."},{"key":"8_CR4","doi-asserted-by":"publisher","first-page":"3180","DOI":"10.1016\/j.na.2008.04.021","volume":"70","author":"G. Bonanno","year":"2009","unstructured":"Bonanno, G., Candito, P.: Nonlinear difference equations investigated via critical point methods. Nonlinear Anal.\u00a070, 3180\u20133186 (2009)","journal-title":"Nonlinear Anal."},{"key":"8_CR5","doi-asserted-by":"publisher","first-page":"959","DOI":"10.1016\/j.camwa.2008.01.025","volume":"56","author":"P. Candito","year":"2008","unstructured":"Candito, P., Giovannelli, N.: Multiple solutions for a discrete boundary value problem involving the p-Laplacian. Comput. Math. Appl.\u00a056, 959\u2013964 (2008)","journal-title":"Comput. Math. Appl."},{"key":"8_CR6","first-page":"332","volume":"112","author":"G. Cerami","year":"1978","unstructured":"Cerami, G.: An existence criterion for the critical points on unbounded manifolds. Isit. Lombardo Accaqd. Sci. Lett. Rend. A\u00a0112, 332\u2013336 (1978) (in Italian)","journal-title":"Isit. Lombardo Accaqd. Sci. Lett. Rend. A"},{"key":"8_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0385-8","volume-title":"Infinite Dimensional Morse Theory and Multiple Solutions Problems","author":"K.C. Chang","year":"1993","unstructured":"Chang, K.C.: Infinite Dimensional Morse Theory and Multiple Solutions Problems. Birkhauser, Boston (1993)"},{"key":"8_CR8","first-page":"441","volume":"319","author":"K.C. Chang","year":"1994","unstructured":"Chang, K.C.: H1 versus C1 isolated critical points. C. R. Acad. Sci. Paris\u00a0319, 441\u2013446 (1994)","journal-title":"C. R. Acad. Sci. Paris"},{"key":"8_CR9","first-page":"318","volume":"180","author":"L. Jiang","year":"2006","unstructured":"Jiang, L., Zhou, Z.: Existence of nontrivial solutions for discrete nonlinear two point boundary value problems. Appl. Math. Comput.\u00a0180, 318\u2013329 (2006)","journal-title":"Appl. Math. Comput."},{"key":"8_CR10","first-page":"1025","volume":"17","author":"S. Li","year":"1984","unstructured":"Li, S., Liu, J.Q.: Some existence theorems on multiple critical points and their applications. Kexue Tongbao\u00a017, 1025\u20131027 (1984)","journal-title":"Kexue Tongbao"},{"key":"8_CR11","doi-asserted-by":"publisher","first-page":"6","DOI":"10.1006\/jmaa.1995.1002","volume":"189","author":"S.J. Li","year":"1995","unstructured":"Li, S.J., Willem, M.: Applications of local linking to critical point theory. J. Math. Anal. Appl.\u00a0189, 6\u201332 (1995)","journal-title":"J. Math. Anal. Appl."},{"key":"8_CR12","first-page":"32","volume":"2","author":"J.Q. Liu","year":"1989","unstructured":"Liu, J.Q.: A Morse index for a saddle point. Syst. Sci. Math. Sci.\u00a02, 32\u201339 (1989)","journal-title":"Syst. Sci. Math. Sci."},{"key":"8_CR13","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1016\/j.jmaa.2010.09.025","volume":"374","author":"J.S. Liu","year":"2011","unstructured":"Liu, J.S., Wang, S.L., Zhang, J.M.: Multiple solutions for boundary value problems of second-order difference equations with resonance. J. Math. Anal. Appl.\u00a0374, 187\u2013196 (2011)","journal-title":"J. Math. Anal. Appl."},{"key":"8_CR14","unstructured":"Rabinowitz, P.: Minimax methods in critical point theory with applications for differential equations. In: CBMS Regional Conference (1984)"},{"key":"8_CR15","doi-asserted-by":"publisher","first-page":"1943","DOI":"10.1016\/j.camwa.2007.08.033","volume":"55","author":"D. Wang","year":"2008","unstructured":"Wang, D., Guan, W.: Three positive solutions of boundary value problems for p-Laplacian difference equations. Comput. Math. Appl.\u00a055, 1943\u20131949 (2008)","journal-title":"Comput. Math. Appl."},{"key":"8_CR16","doi-asserted-by":"publisher","first-page":"1928","DOI":"10.1016\/j.mcm.2008.09.009","volume":"49","author":"B.S. Zhu","year":"2009","unstructured":"Zhu, B.S., Yu, J.S.: Multiple positive solutions for resonant difference equations. Math. Comput. Modelling\u00a049, 1928\u20131936 (2009)","journal-title":"Math. Comput. Modelling"}],"container-title":["Lecture Notes in Computer Science","Web Information Systems and Mining"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-23982-3_8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,7]],"date-time":"2019-04-07T16:27:09Z","timestamp":1554654429000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-23982-3_8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011]]},"ISBN":["9783642239816","9783642239823"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-23982-3_8","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2011]]}}}