Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...

Boundary value problems for nonlinear partial differential equations form a cornerstone of modern mathematical analysis, bridging theoretical advancements and practical real-world applications. These ...

We have designed a cubic spline wavelet-like decomposition for the Sobolev space H 2 0 (I) where I is a bounded interval. Based on a special point value vanishing property of the wavelet basis ...

https://doi.org/10.2307/2118653 • https://www.jstor.org/stable/2118653 Copy URL M. J. ABLOWITZ, D. BAR YAACOV, and A. S. FOKAS, On the inverse scattering trans ...