Results 81 to 90 of about 320,872 (183)

A second regularized trace formula for a higher order differential operator

Mathematical Methods in the Applied Sciences, 2020
In this paper, we obtain a second regularized trace formula onL2([0, π]; H)for a higher order self‐adjoint differential operator with unbounded operator‐valued coefficient, whereHis a separable Hilbert space.
openaire   +4 more sources

Convolutions and Green's functions for two families of boundary value problems for fractional differential equations

Electronic Journal of Differential Equations, 2016
We consider families of two-point boundary value problems for fractional differential equations where the fractional derivative is assumed to be the Riemann-Liouville fractional derivative.
Paul W. Eloe, Jeffrey T. Neugebauer
doaj  

Upper and lower solution method for a higher order ϕ-Laplacian BVPs on an infinite interval

Demonstratio Mathematica
Boundary value problems (BVPs) involving higher-order ϕ-Laplacian equations on an infinite interval are explored in this study. These problems, characterized by their nonlinear ϕ-Laplacian operators, introduce complexity and richness to the realm of ...
Çetin Erbil, Agarwal Ravi P., Nüzket İzel, Topal Fatma Serap   +3 more
doaj   +1 more source

Higher order boundary value problems at resonance on an unbounded interval

Electronic Journal of Differential Equations, 2016
The aim of this paper is the solvability of a class of higher order differential equations with initial conditions and an integral boundary condition on the half line.
Assia Frioui, Assia Guezane-Lakoud, Rabah Khaldi   +2 more
doaj  

Nonlocal Extensions of First Order Initial Value Problems

Axioms
We study certain Volterra integral equations that extend and recover first order ordinary differential equations (ODEs). We formulate the former equations from the latter by replacing classical derivatives with nonlocal integral operators with anti ...
Ravi Shankar
doaj   +1 more source

Vacuum Energy as Spectral Geometry

Symmetry, Integrability and Geometry: Methods and Applications, 2007
Quantum vacuum energy (Casimir energy) is reviewed for a mathematical audience as a topic in spectral theory. Then some one-dimensional systems are solved exactly, in terms of closed classical paths and periodic orbits. The relations among local spectral
Stephen A. Fulling
doaj  

Positive solutions for the Riemann–Liouville-type fractional differential equation system with infinite-point boundary conditions on infinite intervals

Boundary Value Problems
In this paper, we study the existence and uniqueness of positive solutions for a class of a fractional differential equation system of Riemann–Liouville type on infinite intervals with infinite-point boundary conditions.
Yang Yu, Qi Ge
doaj   +1 more source

Dynamical Casimir Effect Under the Action of Gravitational Waves. [PDF]

Entropy (Basel)
de Oliveira G, Moreira TH, Céleri LC.
europepmc   +1 more source

The impact of treatment accessibility on HIV-TB co-infection: a comparative fractional-order modeling approach. [PDF]

BMC Infect Dis
Celestine AB, Gümüş M, Awasthi AK, Emadifar H, Smerat A, Bolaji B.   +5 more
europepmc   +1 more source

An innovative meshless approach for solving 2D Allen-Cahn equations using the RBF-compact finite difference method. [PDF]

Sci Rep
Fardi M, Azarnavid B, Emami H.
europepmc   +1 more source