{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T19:54:50Z","timestamp":1777492490354,"version":"3.51.4"},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2024,7,6]],"date-time":"2024-07-06T00:00:00Z","timestamp":1720224000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,7,6]],"date-time":"2024-07-06T00:00:00Z","timestamp":1720224000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Period Math Hung"],"published-print":{"date-parts":[[2024,12]]},"DOI":"10.1007\/s10998-024-00596-z","type":"journal-article","created":{"date-parts":[[2024,7,6]],"date-time":"2024-07-06T19:01:47Z","timestamp":1720292507000},"page":"434-444","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Bounded and homoclinic-like solutions of second-order singular difference equations"],"prefix":"10.1007","volume":"89","author":[{"given":"Ruyun","family":"Ma","sequence":"first","affiliation":[]},{"given":"Jiao","family":"Zhao","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,7,6]]},"reference":[{"key":"596_CR1","doi-asserted-by":"publisher","DOI":"10.1201\/9781420027020","volume-title":"Difference Equations and Inequalities. Theory, Methods and Applications","author":"RP Agarwal","year":"2000","unstructured":"R.P. Agarwal, Difference Equations and Inequalities. Theory, Methods and Applications (Marcel Dekker, New York, 2000)"},{"key":"596_CR2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/1687-1847-2013-267","volume":"2013","author":"D Bai","year":"2013","unstructured":"D. Bai, X. Xu, Existence and multiplicity of difference $$\\phi $$-Laplacian boundary value problems. Adv. Differ. Equ. 2013, 1\u201313 (2013)","journal-title":"Adv. Differ. Equ."},{"key":"596_CR3","doi-asserted-by":"crossref","unstructured":"C. Bereanu, J. Mawhin, Upper and lower solutions for periodic problems: first order difference vs first order differential equations, in Mathematical Analysis and Applications, AIP Conf. Proc., vol. 835 (Amer. Inst. Phys., Melville, 2006), pp. 30\u201336","DOI":"10.1063\/1.2205034"},{"key":"596_CR4","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1112\/blms\/bdr060","volume":"44","author":"D Bonheure","year":"2012","unstructured":"D. Bonheure, P.J. Torres, Bounded and homoclinic-like solutions of a second-order singular differential equation. Bull. Lond. Math. Soc. 44, 47\u201354 (2012)","journal-title":"Bull. Lond. Math. Soc."},{"key":"596_CR5","doi-asserted-by":"publisher","first-page":"1353","DOI":"10.1007\/s11117-017-0471-3","volume":"21","author":"A Daouas","year":"2017","unstructured":"A. Daouas, M. Boujlida, Existence of positive homoclinic solutions for damped differential equations. Positivity 21, 1353\u20131367 (2017)","journal-title":"Positivity"},{"key":"596_CR6","doi-asserted-by":"publisher","first-page":"3125","DOI":"10.1007\/s40840-019-00858-x","volume":"43","author":"A Daouas","year":"2020","unstructured":"A. Daouas, A. Guefrej, On fast homoclinic solutions for second-order damped difference equations. Bull. Malays. Math. Sci. Soc. 43, 3125\u20133142 (2020)","journal-title":"Bull. Malays. Math. Sci. Soc."},{"key":"596_CR7","first-page":"273","volume":"13","author":"D Franco","year":"2004","unstructured":"D. Franco, D. O\u2019Regan, J. Per\u00e1n, Upper and lower solution theory for first and second order difference equations. Dyn. Syst. Appl. 13, 273\u2013282 (2004)","journal-title":"Dyn. Syst. Appl."},{"key":"596_CR8","first-page":"1","volume":"246","author":"P Hartman","year":"1978","unstructured":"P. Hartman, Difference equations: disconjugacy, principal solutions, Green\u2019s functions, complete monotonicity. Trans. Am. Math. Soc. 246, 1\u201330 (1978)","journal-title":"Trans. Am. Math. Soc."},{"key":"596_CR9","volume-title":"Positive Solutions of Operator Equations","author":"MA Krasnosel\u2019skii","year":"1964","unstructured":"M.A. Krasnosel\u2019skii, Positive Solutions of Operator Equations (Noordhoff, Groningen, 1964)"},{"key":"596_CR10","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1007\/s12220-022-00866-7","volume":"32","author":"GH Lin","year":"2022","unstructured":"G.H. Lin, J.S. Yu, Existence of a ground-state and infinitely many homoclinic solutions for a periodic discrete system with sign-changing mixed nonlinearities. J. Geom. Anal. 32, 127\u2013162 (2022)","journal-title":"J. Geom. Anal."},{"key":"596_CR11","doi-asserted-by":"publisher","first-page":"513","DOI":"10.1016\/j.jmaa.2005.10.049","volume":"323","author":"M Ma","year":"2006","unstructured":"M. Ma, Z. Guo, Homoclinic orbits for second order self-adjoint difference equations. J. Math. Anal. Appl. 323, 513\u2013521 (2006)","journal-title":"J. Math. Anal. Appl."},{"key":"596_CR12","series-title":"Mathematical Surveys and Monographs","volume-title":"Jacobi Operators and Completely Integrable Nonlinear Lattices","author":"G Teschl","year":"2000","unstructured":"G. Teschl, Jacobi Operators and Completely Integrable Nonlinear Lattices, Mathematical Surveys and Monographs, vol. 72. (American Mathematical Society, Providence, 2000)"}],"container-title":["Periodica Mathematica Hungarica"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10998-024-00596-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10998-024-00596-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10998-024-00596-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,16]],"date-time":"2024-12-16T11:08:37Z","timestamp":1734347317000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10998-024-00596-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,7,6]]},"references-count":12,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2024,12]]}},"alternative-id":["596"],"URL":"https:\/\/doi.org\/10.1007\/s10998-024-00596-z","relation":{},"ISSN":["0031-5303","1588-2829"],"issn-type":[{"value":"0031-5303","type":"print"},{"value":"1588-2829","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,7,6]]},"assertion":[{"value":"25 March 2024","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 July 2024","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}