Results 81 to 90 of about 560 (182)

Spectral characteristics of a nonlocal problem for two linear systems of partial differential equations

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
We study the boundary-value problem for a linear system of differential equations written in the form of differential-operator equations $$ aD_t u(t)+bBu(t)=f(t) $$ with nonlocal boundary conditions at $t$.
Dmitriy V Kornienko
doaj   +1 more source

Research on fractional symmetry based on Riesz derivative

open access: yesAIP Advances
The variational problem, Noether symmetry and conserved quantity, and Lie symmetry and conserved quantity of singular systems are investigated on the basis of Riesz derivatives.
Cai Wang, Chuan-Jing Song
doaj   +1 more source

Structure and asymptotic expansion of eigenvalues of an integral-type nonlocal problem

open access: yesElectronic Journal of Differential Equations, 2016
We study the structure of eigenvalues of second-order differential equations with nonlocal integral boundary conditions. Moreover, we consider the asymptotic expansion of the eigenvalues and the corresponding eigenfunctions, which shows that the ...
Zhong-Cheng Zhou, Fang-Fang Liao
doaj  

Two-channel sampling in wavelet subspaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
We develop two-channel sampling theory in the wavelet subspace V1 from the multi resolution analysis {Vj}j∈𝕫. Extending earlier results by G. G. Walter [11], W. Chen and S. Itoh [2] and Y. M.
Kim J.M., Kwon K.H.
doaj   +1 more source

On the relation of the frame-related operators of fusion frame systems. [PDF]

open access: yesSampl Theory Signal Process Data Anal, 2023
Köhldorfer L, Balazs P.
europepmc   +1 more source

Riesz basis of Coifman and Meyer's local sine and cosine type

open access: yesJournal of Mathematical Analysis and Applications, 2003
The author finds a Riesz basis for \(L^2(\mathbb{R})\) of the form \(\{b_{I_k}(x) \sin \lambda_k x\}\), with \(b_{I_k}(x)\) Bell functions, by perturbing the local sine and cosine orthonormal bases of Coifman and Meyer.
openaire   +2 more sources

On one non-local problem for axisymmetric Helmholtz equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
Non-local boundary problem for the axisymmetric Helmholtz equation is explored. The uniqueness of the solution is proved by the spectral method. The conditions of solvability are found.
Anton A Abashkin
doaj  

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