On a Periodic Boundary Value Problem for Fractional Quasilinear Differential Equations with a Self-Adjoint Positive Operator in Hilbert Spaces

Autor: Mikhail Kamenskii, Garik Petrosyan, Paul Raynaud de Fitte, Jen-Chih Yao

Publikováno v: Mathematics, Vol 10, Iss 2, p 219 (2022)

In this paper we study the existence of a mild solution of a periodic boundary value problem for fractional quasilinear differential equations in a Hilbert spaces. We assume that a linear part in equations is a self-adjoint positive operator with den

Externí odkaz: https://doaj.org/article/1c2979c922354e41a2de7b8f4207eca3

Counterexamples to mean square almost periodicity of the solutions of some SDEs with almost periodic coefficients

Autor: Omar Mellah, Paul Raynaud de Fitte

Publikováno v: Electronic Journal of Differential Equations, Vol 2013, Iss 91,, Pp 1-7 (2013)

We show that, contrarily to what is claimed in some papers, the nontrivial solutions of some stochastic differential equations with almost periodic coefficients are never mean square almost periodic (but they can be almost periodic in distribution).

Externí odkaz: https://doaj.org/article/b3cdfbc35cef4361944f3b1be7fe8c8b

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Second-Order Evolution Problems with Time-Dependent Maximal Monotone Operator and Applications

Autor: M. D. P. Monteiro Marques, P. Raynaud de Fitte, Charles Castaing

Publikováno v: Advances in Mathematical Economics: Volume 22
Kusuoka, Shigeo and Maruyama, Toru. Advances in Mathematical Economics: Volume 22, 22, Springer Singapore, pp.25-77, 2018, 978-981-13-0605-1. ⟨10.1007/978-981-13-0605-1_2⟩
Advances in Mathematical Economics ISBN: 9789811306044

International audience; We consider at first the existence and uniqueness of solution for a general second-order evolution inclusion in a separable Hilbert space of the form 0∈{\"u}(t)+A(t)u̇(t)+f(t,u(t)),t∈[0,T]{\$}{\$}{\backslash}displaystyle

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::efa7cda8ba4a67c2f2fa282eb8ddd868
https://hal.archives-ouvertes.fr/hal-01784844

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