{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,8]],"date-time":"2026-02-08T14:30:59Z","timestamp":1770561059030,"version":"3.49.0"},"reference-count":14,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,5,10]],"date-time":"2012-05-10T00:00:00Z","timestamp":1336608000000},"content-version":"vor","delay-in-days":130,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>Many applications of various self\u2010adjoint differential equations, whose solutions are complex, are produced (Arfken, 1985; Gandarias, 2011; and Delkhosh, 2011). In this work we propose a method for the solving some self\u2010adjoint equations with variable change in problem, and then we obtain a analytical solutions. Because this solution, an exact analytical solution can be provided to us, we benefited from the solution of numerical Self\u2010adjoint equations (Mohynl\u2010Din, 2009; Allame and Azal, 2011; Borhanifar et al. 2011; Sweilam and Nagy, 2011; G\u00fclsu et al. 2011; Mohyud\u2010Din et al. 2010; and Li et al. 1996).<\/jats:p>","DOI":"10.1155\/2012\/180806","type":"journal-article","created":{"date-parts":[[2012,5,10]],"date-time":"2012-05-10T21:02:01Z","timestamp":1336683721000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Analytic Solutions of Some Self\u2010Adjoint Equations by Using Variable Change Method and Its Applications"],"prefix":"10.1155","volume":"2012","author":[{"given":"Mehdi","family":"Delkhosh","sequence":"first","affiliation":[]},{"given":"Mohammad","family":"Delkhosh","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,5,10]]},"reference":[{"key":"e_1_2_5_1_2","first-page":"116","article-title":"Solutions of nonlinear differential equations by exp-function method","volume":"7","author":"Mohyud-Din S. 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