Results 41 to 50 of about 244 (53)

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

Impulsive system of ODEs with general linear boundary conditions

open access: yes, 2013
The paper provides an operator representation for a problem which consists of a system of ordinary differential equations of the first order with impulses at fixed times and with general linear boundary conditions z (t) = A(t)z(t) + f(t, z(t)) for a.e. t
I. Rachunková, J. Tomeček
semanticscholar   +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

Wedges, Cones, Cosmic Strings, and the Reality of Vacuum Energy

open access: yes, 2012
One of J. Stuart Dowker's most significant achievements has been to observe that the theory of diffraction by wedges developed a century ago by Sommerfeld and others provided the key to solving two problems of great interest in general-relativistic ...
Fulling, S. A.   +3 more
core   +1 more source

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