Elliptic functional differential equations with contractions and extensions of independent variables of the unknown function

DOI10.1007/s10958-017-3360-1zbMath1442.35495OpenAlexW2610623193MaRDI QIDQ2399943

Leonid E. Rossovskii

Publication date: 25 August 2017

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

Full work available at URL: https://doi.org/10.1007/s10958-017-3360-1

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) Partial functional-differential equations (35R10) Initial-boundary value problems for linear higher-order PDEs (35G16)

Related Items (20)

Regularity of solutions to the Robin problem for differential-difference equations ⋮ Index of differential-difference operators on an infinite cylinder ⋮ Hyperbolic differential-difference equations with nonlocal potentials ⋮ Classical solutions of hyperbolic differential-difference equations with several nonlocal terms ⋮ Classical solutions of hyperbolic differential-difference equations in a half-space ⋮ On solvability of parabolic equations with essentially nonlinear differential-difference operators ⋮ On the Dirichlet problem for an elliptic functional differential equation with affine transformations of the argument ⋮ Classical solutions of hyperbolic differential-difference equations with differently directed translations ⋮ On a class of elliptic functional-differential equations with orthotropic contractions-expansions ⋮ On the solvability of nonlinear parabolic functional-differential equations with shifts in the spatial variables ⋮ Trajectory symbols and the Fredholm property of boundary value problems for differential operators with shifts ⋮ On one Cauchy problem for a hyperbolic differential-difference equation ⋮ Elliptic functional differential equations with incommensurable contractions ⋮ Analysis of functional-differential equation with orthotropic contractions ⋮ Unique solvability of a functional-differential equation with orthotropic contractions in weighted spaces ⋮ The spectral radius of a certain parametric family of functional operators ⋮ Spectral radius formula for a parametric family of functional operators ⋮ Nonlocal problems and functional-differential equations: theoretical aspects and applications to mathematical modelling ⋮ Elliptic functional differential equation with affine transformations ⋮ On a class of functional–differential operators satisfying the Kato conjecture

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