New results for the Liebau phenomenon via fixed point index
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
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Impulsive system of ODEs with general linear boundary conditions
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
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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
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Wedges, Cones, Cosmic Strings, and the Reality of Vacuum Energy
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
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A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions. [PDF]
Zhai C, Wang W, Li H.
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On some regular fractional Sturm-Liouville problems with generalized Dirichlet conditions
Fatima Bensidhoum, H. Dib
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Lyapunov type inequality for the equation including 1-dim p-Laplacian
Kohtaro Watanabe
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Maximum of Green's functions and Liapunov inequalities for the Sturm-Liouville problem
Laurie Battle
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Fredholm boundary-value problems for linear delay systems defined by pairwise permutable matrices [PDF]
Boichuk, Alexander+2 more
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Linear ordinary differential equations: revisiting the impulsive response method using factorization [PDF]
Camporesi, Roberto
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