Smoothness of generalized solutions of the second and third boundary-value problems for strongly elliptic differential-difference equations

DOI10.1007/s10958-022-06087-1zbMath1498.35561OpenAlexW4295926549WikidataQ114225116 ScholiaQ114225116MaRDI QIDQ2083452

D. A. Neverova

Publication date: 10 October 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-06087-1

zbMATH Keywords

existence of a generalized solutionapproximation by finite-difference operators

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Partial functional-differential equations (35R10) Partial difference equations (39A14)

Cites Work

• On the smoothness of generalized solutions to boundary value problems for strongly elliptic differential-difference equations on a boundary of neighboring subdomains
• A priori estimates for elliptic differential-difference operators with degeneration
• Study of Volterra integro-differential equations with kernels depending on a parameter
• The first boundary value problem for strongly elliptic differential- difference equations
• On the minimum of the energy functional with respect to functions with deviating argument in a stationary problem of elasticity theory
• Smoothness of generalized solutions of the third boundary-value problem for an elliptic differential-difference equation
• Study of functional-differential equations with unbounded operator coefficients
• On the classical and generalized solutions of boundary-value problems for difference-differential equations with variable coefficients
• On some non-linear elliptic differential functional equations
• Well-Posedness and Spectral Analysis of Hyperbolic Volterra Equations of Convolution Type
• Boundary-value problems for elliptic functional-differential equations and their applications
• The second boundary-value problem for parabolic differential-difference equations
• Differential equations with displaced arguments in stationary problems in the mechanics of a deformable body
• Nonlocal problems in the mechanics of three-layer shells
• Elliptic functional differential equations and applications
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