Ghisi, Marina; Giraudo, Chiara; Gobbino, Massimo; Haraux, Alain Sharp ultimate velocity bounds for the general solution of some linear second order evolution equation with damping and bounded forcing. (English) Zbl 07423283 J. Differ. Equations 305, 72-102 (2021). Reviewer: Nicolae Lupa (Timişoara) MSC: 34G10 37C60 34D05 34C11 PDF BibTeX XML Cite \textit{M. Ghisi} et al., J. Differ. Equations 305, 72--102 (2021; Zbl 07423283) Full Text: DOI arXiv OpenURL
Haraux, Alain On the ultimate energy bound of solutions to some forced second-order evolution equations with a general nonlinear damping operator. (English) Zbl 1423.34078 Tunis. J. Math. 1, No. 1, 59-72 (2019). Reviewer: Józef Banaś (Rzeszów) MSC: 34G20 37C60 34C11 47N20 PDF BibTeX XML Cite \textit{A. Haraux}, Tunis. J. Math. 1, No. 1, 59--72 (2019; Zbl 1423.34078) Full Text: DOI arXiv OpenURL
Haraux, Alain Nonlinear vibrations and the wave equation. (English) Zbl 1403.35004 SpringerBriefs in Mathematics; BCAM SpringerBriefs. Cham: Springer; Bilbao: BCAM – Basque Center for Applied Mathematics (ISBN 978-3-319-78514-1/pbk; 978-3-319-78515-8/ebook). x, 102 p. (2018). Reviewer: Marcus Waurick (Glasgow) MSC: 35-02 35Q74 74H45 35L71 35L20 47D06 35L90 35B15 PDF BibTeX XML Cite \textit{A. Haraux}, Nonlinear vibrations and the wave equation. Cham: Springer; Bilbao: BCAM -- Basque Center for Applied Mathematics (2018; Zbl 1403.35004) Full Text: DOI OpenURL
Aloui, Faouzia; Haraux, Alain Sharp ultimate bounds of solutions to a class of second order linear evolution equations with bounded forcing term. (English) Zbl 1287.34026 J. Funct. Anal. 265, No. 10, 2204-2225 (2013). MSC: 34C11 34G10 34G20 PDF BibTeX XML Cite \textit{F. Aloui} and \textit{A. Haraux}, J. Funct. Anal. 265, No. 10, 2204--2225 (2013; Zbl 1287.34026) Full Text: DOI OpenURL
Aloui, Faouzia; Ben Hassen, Imen; Haraux, Alain Compactness of trajectories to some nonlinear second order evolution equations and applications. (English) Zbl 1288.34054 J. Math. Pures Appl. (9) 100, No. 3, 295-326 (2013). Reviewer: Sergiu Aizicovici (Athens/Ohio) MSC: 34G20 34C11 34C27 35L10 PDF BibTeX XML Cite \textit{F. Aloui} et al., J. Math. Pures Appl. (9) 100, No. 3, 295--326 (2013; Zbl 1288.34054) Full Text: DOI OpenURL
Ben Hassen, Imen; Haraux, Alain Convergence and decay estimates for a class of second order dissipative equations involving a non-negative potential energy. (English) Zbl 1248.34092 J. Funct. Anal. 260, No. 10, 2933-2963 (2011). Reviewer: Ovidiu Cârjă (Iaşi) MSC: 34G20 34D05 35B40 35L05 PDF BibTeX XML Cite \textit{I. Ben Hassen} and \textit{A. Haraux}, J. Funct. Anal. 260, No. 10, 2933--2963 (2011; Zbl 1248.34092) Full Text: DOI HAL OpenURL
Haraux, Alain Sharp estimates of bounded solutions to a second-order forced equation with structural damping. (English) Zbl 1184.34066 Differ. Equ. Appl. 1, No. 3, Article ID 18, 341-347 (2009). Reviewer: S. Burys (Kraków) MSC: 34G10 34C11 34D45 PDF BibTeX XML Cite \textit{A. Haraux}, Differ. Equ. Appl. 1, No. 3, Article ID 18, 341--347 (2009; Zbl 1184.34066) Full Text: Link OpenURL
Haraux, Alain Sharp estimates of bounded solutions to some second-order forced dissipative equations. (English) Zbl 1146.34041 J. Dyn. Differ. Equations 19, No. 4, 915-933 (2007). Reviewer: Silvia-Otilia Corduneanu (Iaşi) MSC: 34G20 34C11 PDF BibTeX XML Cite \textit{A. Haraux}, J. Dyn. Differ. Equations 19, No. 4, 915--933 (2007; Zbl 1146.34041) Full Text: DOI HAL OpenURL
Haraux, Alain Slow and fast decay of solutions to some second order evolution equations. (English) Zbl 1089.34048 J. Anal. Math. 95, 297-321 (2005). Reviewer: Nazim Idris Mahmudov (Mersin) MSC: 34G20 35B40 PDF BibTeX XML Cite \textit{A. Haraux}, J. Anal. Math. 95, 297--321 (2005; Zbl 1089.34048) Full Text: DOI OpenURL
Haraux, A.; Yan, Q. On a class of second order ODE with a typical degenerate nonlinearity. (English) Zbl 0987.34004 Port. Math. (N.S.) 58, No. 2, 233-254 (2001). Reviewer: Vadim Komkov (Florida) MSC: 34A12 34A34 PDF BibTeX XML Cite \textit{A. Haraux} and \textit{Q. Yan}, Port. Math. (N.S.) 58, No. 2, 233--254 (2001; Zbl 0987.34004) Full Text: EuDML OpenURL
Haraux, A. Une remarque sur la stabilisation de certains systèmes du deuxième ordre en temps. (A remark on the stabilization of certain time-dependent systems of second order). (French) Zbl 0679.93063 Port. Math. 46, No. 3, 245-258 (1989). MSC: 93D15 35B37 93C20 35G10 35K25 35L20 93B03 PDF BibTeX XML Cite \textit{A. Haraux}, Port. Math. 46, No. 3, 245--258 (1989; Zbl 0679.93063) Full Text: EuDML OpenURL
Cazenave, T.; Haraux, A. Oscillatory phenomena associated to semilinear wave equations in one spatial dimension. (English) Zbl 0628.35058 Trans. Am. Math. Soc. 300, 207-233 (1987). Reviewer: V.Răsvan MSC: 35L70 35B05 35R45 35B40 35B60 34C15 PDF BibTeX XML Cite \textit{T. Cazenave} and \textit{A. Haraux}, Trans. Am. Math. Soc. 300, 207--233 (1987; Zbl 0628.35058) Full Text: DOI OpenURL
Haraux, A. Asymptotics for some nonlinear O.D.E. of the second order. (English) Zbl 0603.34032 Nonlinear Anal., Theory Methods Appl. 10, 1347-1355 (1986). MSC: 34C11 34A34 34E05 34C10 PDF BibTeX XML Cite \textit{A. Haraux}, Nonlinear Anal., Theory Methods Appl. 10, 1347--1355 (1986; Zbl 0603.34032) Full Text: DOI OpenURL
Haraux, Alain Forced oscillations for some nonlinear, weakly dissipative wave equations. (English) Zbl 0458.35063 J. Differ. Equations 44, 440-451 (1982). MSC: 35L70 35B05 35B10 PDF BibTeX XML Cite \textit{A. Haraux}, J. Differ. Equations 44, 440--451 (1982; Zbl 0458.35063) Full Text: DOI OpenURL