Existence and regularity of solutions in α-norm for some nonlinear second order differential equation in Banach Spaces

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Mots-clés

cosine family
Mild and strict solutions
second order partial differential equations
α-norm
delay differential equation

Comment citer

ZABSONRE, I., TOURE, H., & HADA, B. (2022). Existence and regularity of solutions in α-norm for some nonlinear second order differential equation in Banach Spaces. Journal De Mathématiques Pures Et Appliquées De Ouagagougou (JMPAO), 1(01). Consulté à l’adresse https://www.journal.uts.bf/index.php/jmpao/article/view/6

Résumé

Using the theory of cosine family, we prove the existence and regularity of solutions for some nonlinear second order differential equation in α-norm. The delayed part is assumed to be locally lipschitz.