Geodesic
Second order semilinear Volterra integrodifferential equation in Banach space
Annales Polonici Mathematici, Tome 57 (1992) no. 3, pp. 231-241 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of some semilinear second order Volterra integrodifferential equations in Banach spaces is proved. The results are applied to some integro-partial differential equations.
DOI : 10.4064/ap-57-3-231-241
Keywords: cosine family, semilinear Volterra equation

Jan Bochenek 1

1 
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Jan Bochenek. Second order semilinear Volterra integrodifferential equation in Banach space. Annales Polonici Mathematici, Tome 57 (1992) no. 3, pp. 231-241. doi: 10.4064/ap-57-3-231-241

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