Geodesic
An abstract nonlinear second order differential equation
Annales Polonici Mathematici, Tome 54 (1991) no. 2, pp. 155-166.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of a semilinear second order differential initial value problem (1) as well as the existence of solutions of the linear inhomogeneous problem corresponding to (1) are proved. The main result of the paper is contained in Theorem 5.
DOI : 10.4064/ap-54-2-155-166

Jan Bochenek 1

1 
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Jan Bochenek. An abstract nonlinear second order differential equation. Annales Polonici Mathematici, Tome 54 (1991) no. 2, pp. 155-166. doi : 10.4064/ap-54-2-155-166. http://geodesic.mathdoc.fr/articles/10.4064/ap-54-2-155-166/

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