Results 21 to 30 of about 206 (36)

Evans function and Fredholm determinants [PDF]

open access: yes, 2014
We explore the relationship between the Evans function, transmission coefficient and Fredholm determinant for systems of first order linear differential operators on the real line.
Karambal, Issa, Malham, Simon J. A
core   +3 more sources

Principal Solutions Revisited [PDF]

open access: yes, 2015
The main objective of this paper is to identify principal solutions associated with Sturm-Liouville operators on arbitrary open intervals $(a,b) \subseteq \mathbb{R}$, as introduced by Leighton and Morse in the scalar context in 1936 and by Hartman in ...
Clark, Stephen   +2 more
core   +1 more source

Sampling Theorems for Sturm Liouville Problem with Moving Discontinuity Points

open access: yes, 2014
In this paper, we investigate the sampling analysis for a new Sturm-Liouville problem with symmetrically located discontinuities which are defined to depending on a neighborhood of a midpoint of the interval.
Altinisik, Nihat, Hira, Fatma
core   +1 more source

Comment on `Wedges, cones, cosmic strings and their vacuum energy'

open access: yes, 2013
A recent paper (2012 \emph{J. Phys.\ A} \textbf{45} 374018) is extended by investigating the behavior of the regularized quantum scalar stress tensor near the axes of cones and their covering manifold, the Dowker space.
Fulling, S. A., Mera, F. D.
core   +1 more source

Supersymmetry and Schr\"odinger-type operators with distributional matrix-valued potentials [PDF]

open access: yes, 2014
Building on work on Miura's transformation by Kappeler, Perry, Shubin, and Topalov, we develop a detailed spectral theoretic treatment of Schr\"odinger operators with matrix-valued potentials, with special emphasis on distributional potential ...
Eckhardt, Jonathan   +3 more
core   +2 more sources

On the solvability of third-order three point systems of differential equations with dependence on the first derivative

open access: yes, 2016
This paper presents sufficient conditions for the solvability of the third order three point boundary value problem \begin{equation*} \left\{ \begin{array}{c} -u^{\prime \prime \prime }(t)=f(t,\,v(t),\,v^{\prime }(t)) \\ -v^{\prime \prime \prime }(t)=h(t,
de Sousa, Robert, Minhós, Feliz
core   +1 more source

Existence of solution for functional coupled systems with full nonlinear terms and applications to coupled a mass-spring model [PDF]

open access: yes, 2017
In this paper we consider some boundary value problems composed by coupled systems of second order differential equations with full nonlinearities and general functional boundary conditions verifying some monotone assumptions.
de Sousa, Robert, Minhós, Feliz
core   +1 more source

A unified gas kinetic scheme for transport and collision effects in plasma

open access: yes, 2018
In this study, the Vlasov-Poisson equation with or without collision term for plasma is solved by the unified gas kinetic scheme (UGKS). The Vlasov equation is a differential equation describing time evolution of the distribution function of plasma ...
Pana, Dongxin   +3 more
core   +2 more sources

New results for the Liebau phenomenon via fixed point index

open access: yes, 2016
We prove new results regarding the existence of positive solutions for a nonlinear periodic boundary value problem related to the Liebau phenomenon. As a consequence we obtain new sufficient conditions for the existence of a pump in a simple model.
Cid, José Ángel   +3 more
core   +1 more source

Reproducing Kernels of Generalized Sobolev Spaces via a Green Function Approach with Distributional Operators

open access: yes, 2013
In this paper we introduce a generalized Sobolev space by defining a semi-inner product formulated in terms of a vector distributional operator $\mathbf{P}$ consisting of finitely or countably many distributional operators $P_n$, which are defined on the
A. Berlinet   +19 more
core   +1 more source

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