Nuray Yıldırım, ElifAkgül, Aliİnç, Mustafa2021-03-252021-03-252021https://hdl.handle.net/11467/4763https://doi.org/10.2298/TSCI200603002Ytheir initial and boundary conditions. Especially higher order differential equations play a vital role in this process. The method for solution and its effectiveness are as important as the modelling. In this paper, on the basis of reproducing kernel theory, the reproducing kernel functions have been obtained for solving some non-linear higher order differential equations. Additionally, for each problem the homogenizing transforms have been obtained.eninfo:eu-repo/semantics/openAccessReproducing kernel functionsPDEBounded linear operatorHilbert spacesArticle25Special Issue 1918Q3WOS:000637582200002N/A2-s2.0-8510164385910.2298/TSCI200603002Y