Geodesic
Solutions of abstract hyperbolic equations by Rothe method.
Applications of Mathematics, Tome 29 (1984) no. 1, pp. 23-39.

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In this paper abstract hyperbolic equations in which elliptic operator dependent on time is involved are solved by using the so callad Rothe method, i.e. the method of discretisation of given problem in time. Existence and unicity of solution and some of its properties in dependence on various conditions which the given equations satisfy are presented.
DOI : 10.21136/AM.1984.104065
Classification : 34G10, 34G20, 35L15, 65M20
Keywords: abstract hyperbolic equations; Rothe method 
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     author = {Pultar, Milan},
     title = {Solutions of abstract hyperbolic equations by {Rothe} method.},
     journal = {Applications of Mathematics},
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Pultar, Milan. Solutions of abstract hyperbolic equations by Rothe method.. Applications of Mathematics, Tome 29 (1984) no. 1, pp. 23-39. doi : 10.21136/AM.1984.104065. http://geodesic.mathdoc.fr/articles/10.21136/AM.1984.104065/

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