Mixed problem for a first-order partial differential equation with involution and periodic boundary conditions

DOI10.1134/S0965542514010059zbMath1313.35014WikidataQ115247869 ScholiaQ115247869MaRDI QIDQ2940348

M. Sh. Burlutskaya

Publication date: 26 January 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

eigenvalueseigenfunctionsperiodic boundary conditionsinvolutionFourier methodDirac systemmixed problem for a first-order partial differential equation

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10)

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Riesz basis property of system of root functions of second-order differential operator with involution, Basicity properties of eigenfunctions of the periodic problem for differential operator Lu = −u″(−x) + q(x)u(x), Method of similar operators in the study of spectral properties of perturbed first-order differential operators, Solvability of mixed problems for the wave equation with reflection of the argument, Basis property of a system of eigenfunctions of a second-order differential operator with involution, Spectral analysis of differential operators with involution and operator groups, Fourier method for first order differential equations with involution and groups of operators, Spectral properties of the Cauchy problem for a second-order operator with involution, Some properties of functional-differential operators with involution \(\nu(x)=1-x\) and their applications, Spectral properties of first-order differential operators with an involution and groups of operators, Equiconvergence property for spectral expansions related to perturbations of the operator - u(-x) with initial data

Cites Work

• Classical solution of a mixed problem with involution
• Fourier method in an initial-boundary value problem for a first-order partial differential equation with involution
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