arXiv subjects

Jeffrey T. Neugebauer

Publications and source records attributed to Jeffrey T. Neugebauer.

2 recordsLinked to original sources

arXiv2022

Existence of positive solutions of a Hammerstein integral equation using the layered compression-expansion fixed point theorem

In this paper, we show the existence of a positive solution of a Hammerstein integral equation under certain conditions on the kernel. We apply the recent Layered Compression-Expansion Fixed Point Theorem. Finally, we provide corollaries to help in application of the main results and present an example.

math.CA↗

arXiv2022

Lyapunov-Type Inequalities for a Fractional Boundary Value Problem with a Fractional Boundary Condition

In this paper, we consider a linear fractional differential equation with fractional boundary conditions. First, by obtaining Green's function, we derive the Lyapunov-type inequalities for such boundary value problems. Furthermore, we use the contraction mapping theorem to study the existence of a unique solution to a nonlinear problem.

math.CA↗