Advances in Differential Equations will publish carefully selected, longer research papers on mathematical aspects of differential equations and on applications of the mathematical theory to issues arising in the sciences and in engineering.

On the existence of solutions of Hamiltonian elliptic systems in $\mathbb R^N$
Boyan Sirakov. (2000)
Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss
Thierry Coulhon, et al. (2000)
On the well-posedness of Benney's interaction equation of short and long waves
Daniella Bekiranov, et al. (1996)
$p(x)$-growth in nonlocal differential equations with convolution coefficients
Christopher S. Goodrich. (2025)
