PNAS is the world's most-cited multidisciplinary scientific serial. It publishes high-impact research reports, commentaries, perspectives, reviews, colloquium papers, and actions of the Academy. In ...

Boundary value problems in differential equations constitute a fundamental area of study in mathematical science, where solutions to differential equations are sought under prescribed conditions ...

Fourth-order boundary value problems (BVPs) constitute an essential class of differential equations where the highest derivative is of fourth order. These equations arise naturally in the mathematical ...