Boundary value problems (BVPs) constitute a fundamental class of differential equations where the solutions are determined by prescribing values at the boundaries of the domain. The study of positive ...

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 ...

Fourier series solutions are obtained for mixed boundary value problems for the Laplace equation in the plane and in the sphere. The nature of the boundary conditions presents difficulties in ...

Abstract In this paper, we prove the existence of solutions for impulsive differential equations of fractional order q ∈ (1, 2] with anti-periodic boundary conditions in a Banach space. Our study is ...