3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.CA2022★ 3 cited
Lyapunov-Type Inequalities for a Fractional Boundary Value Problem with a Fractional Boundary Condition
Sougata Dhar, Jeffrey T. Neugebauer
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 inequali…
math.CA2022
Existence of positive solutions of a Hammerstein integral equation using the layered compression-expansion fixed point theorem
Sougata Dhar, Jeffrey W. Lyons, Jeffrey T. Neugebauer
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-Expan…
math.CA2022
Lyapunov-Type Inequalities for Third Order Nonlinear Equations
Brian Behrens, Sougata Dhar
We derive Lyapunov-type inequalities for general third order nonlinear equations involving multiple -Laplacian operators of the form \begin{equation*} (ψ_{2}((ψ_{1}(u'))'))' + q…