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The approach leverages the properties of sectorial operators, the compactness of the semigroup that governs the evolution of the linear part of the equation and Rothe\u2019s fixed point theorem. To demonstrate the practical applicability of our method, we present a specific case that encompasses a broad family of examples, including a neutral-type heat equation.<\/jats:p>","DOI":"10.1093\/imamci\/dnaf001","type":"journal-article","created":{"date-parts":[[2025,1,30]],"date-time":"2025-01-30T20:33:25Z","timestamp":1738269205000},"source":"Crossref","is-referenced-by-count":2,"title":["Approximate controllability for impulsive neutral semilinear evolution equations with nonlocal conditions"],"prefix":"10.1093","volume":"42","author":[{"given":"Cosme","family":"Duque","sequence":"first","affiliation":[{"name":"Universidad de Los Andes Departamento de Matem\u00e1ticas, , La Hechicera, 5101 Merida,","place":["Venezuela"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hugo","family":"Leiva","sequence":"additional","affiliation":[{"name":"University YachayTech School of Mathematical and Computational Siences, , San Miguel de Urcuqui, 100119 Imbabura,","place":["Ecuador"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Touria","family":"Karite","sequence":"additional","affiliation":[{"name":"National School of Applied Sciences Sidi Mohamed Ben Abdellah University Laboratory of Engineering, Systems and Applications (LISA), , Avenue My Abdallah Km 5 Route d\u2019Imouzzer, 30000 Fez BP 72,","place":["Morocco"]}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2025,2,20]]},"reference":[{"key":"2025031008151154000_ref1","first-page":"1","article-title":"Existence of solutions for impulsive neutral semilinear evolution equations with nonlocal conditions","volume":"2","author":"Agarwal","year":"2022","journal-title":"Discontinuity Nonlinearity Complex."},{"key":"2025031008151154000_ref2","volume-title":"Measures of Noncompactness in Banach Spaces","author":"Banas","year":"1980"},{"key":"2025031008151154000_ref3","doi-asserted-by":"crossref","first-page":"310","DOI":"10.1093\/imamci\/dni029","article-title":"A broad class of evolution equations are approximately controllable, but never exactly controllable","volume":"22","author":"B\u00e1rcenas","year":"2005","journal-title":"IMA J. 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