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The first existing result is obtained from Schauder\u2019s fixed point theorem, and the second one provides also the localization of a solution via the lower and upper solutions technique.<\/jats:p><jats:p>We point out that it is the first time that impulsive coupled systems with strongly nonlinear fully differential equations and generalized impulse effects are considered simultaneously. Moreover, the singular case is applied to a special relativity model in classical electrodynamics.<\/jats:p>","DOI":"10.1186\/s13661-024-01882-y","type":"journal-article","created":{"date-parts":[[2024,6,6]],"date-time":"2024-06-06T07:01:46Z","timestamp":1717657306000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Impulsive coupled systems with regular and singular \u03d5-Laplacians and generalized jump conditions"],"prefix":"10.1186","volume":"2024","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7485-2500","authenticated-orcid":false,"given":"Feliz","family":"Minh\u00f3s","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6956-3635","authenticated-orcid":false,"given":"Gracino","family":"Rodrigues","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,6,6]]},"reference":[{"issue":"26","key":"1882_CR1","doi-asserted-by":"publisher","first-page":"8829","DOI":"10.2298\/FIL2326829B","volume":"37","author":"Y. 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