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Nonlinear Differential Equations and Applications - http://www.springer.com/birkhauser/mathematics/journal/30
Tables of contents from vol.4 (1997) on. Full text to subscribers.

Ergodic Theory and Dynamical Systems - http://journals.cambridge.org/action/displayJournal?jid=ETS
Ergodic Theory and Dynamical Systems is a journal which focuses on a variety of research areas.

Journal of Hyperbolic Differential Equations - http://www.worldscinet.com/jhde.html
(World Scientific) Original research papers on nonlinear hyperbolic problems and related topics, of mathematical and/or physical interest. Forthcoming papers.

Electronic Journal of Differential Equations - http://ejde.math.txstate.edu/
Full text available in DVI, PDF, PS and TeX formats. Searchable index.

Hilbert Space Methods for Partial Differential Equations - http://ejde.math.txstate.edu/Monographs/01/abstr.html
A group of free papers on partial differential equations.

Electronic Journal of Qualitative Differential Equations - http://www.math.u-szeged.hu/ejqtde/
Free research papers on differential equations.

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Journals