New research details an intriguing new way to solve "unsolvable" algebra problems that go beyond the fourth degree – something that has generally been deemed impossible using traditional methods for ...

Boundary value problems (BVPs) and partial differential equations (PDEs) are critical components of modern applied mathematics, underpinning the theoretical and practical analyses of complex systems.

Carpathian Journal of Mathematics, Vol. 37, No. 2 (2021), pp. 325-338 (14 pages) The aim of the present paper is to study the existence of nontrivial nonnegative solutions for a second-order boundary ...

We consider the numerical solution of nonlocal constrained value problems associated with linear nonlocal diffusion and nonlocal peridynamic models. Two classes of discretization methods are presented ...