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Transformation of linear non-homogeneous differential equations of the second order to homogeneous

✍ Scribed by Miloje Rajović; Rade Stojiljković; Dragan Dimitrovski

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
497 KB
Volume
57
Category
Article
ISSN
0898-1221

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✦ Synopsis

The main results of this paper give a negative answer to the problem of transformations of the linear non-homogeneous differential equations of order two into a homogeneous one, by means of the internal elements of the non-homogeneous equation.

Other results, concerning perturbation by means of a sum with a certain mapping z and the exploitation of the methods are presented.

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✍ J. Das (neé Chaudhari) 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 139 KB

This note deals with linear second-order homogeneous ordinary differential equations associated with linear homogeneous boundary conditions. We find those solutions of the differential equation that satisfy a given boundary condition. Also, we determine the set of all those boundary conditions that