Inverse problems in differential equations constitute a pivotal area in applied mathematics and engineering, where the aim is to deduce unknown parameters or inputs within a differential equation from ...

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.

This paper is concerned with the existence of solutions of the Dirichlet problem for quasilinear elliptic partial differential equations of second order, the conclusions being in the form of necessary ...

Quarterly of Applied Mathematics, Vol. 65, No. 4 (December 2007), pp. 705-736 (32 pages) A system of transmission of Euler-Bernoulli plate equation with variable coefficients under Neumann control and ...