Nonlinear differential-difference equations of elliptic and parabolic type and their applications to nonlocal problems
DOI10.1007/s10958-024-07461-xMaRDI QIDQ6650314
Publication date: 6 December 2024
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
periodic solutionspseudomonotone operatorparabolic equationnonlocal boundary conditionselliptic equationinitial boundary-value problemellipticity conditionnonlinear differential-difference equationsstrong ellipticity conditionoperator with semibounded variationshift in spatial variables
Partial functional-differential equations (35R10) Quasilinear elliptic equations (35J62) Quasilinear parabolic equations (35K59)
Cites Work
- On nonlinear and quasiliniear elliptic functional differential equations
- Spectral analysis and correct solvability of abstract integrodifferential equations arising in thermophysics and acoustics
- A priori estimates for elliptic differential-difference operators with degeneration
- Equazione integrale traducente il più generale problema lineare per le equazioni differenziali lineari ordinarie di qualsivoglia ordine.
- Certain nonlocal boundary-value problems for linear differential operators
- Generalized solutions of quasilinear elliptic differential-difference equations
- The first boundary value problem for strongly elliptic differential- difference equations
- Monotone (nonlinear) operators in Hilbert space
- On the stability of index of nonlocal elliptic problems
- Ein Beitrag zur hydrodynamischen Erklärung der turbulenten Flüssigkeitsbewegungen.
- I teoremi d'esistenza per gl' integrali di una equazione differenziale lineare ordinaria soddisfacenti ad una nuova classe di condizioni.
- On an elliptic differential-difference equation with nonsymmetric shift operator
- Ranges of densely defined generalized pseudomonotone perturbations of maximal monotone operators.
- First mixed problem for a parabolic difference-differential equation
- The first boundary value problem for quasilinear parabolic differential-difference equations
- On a nonlinear nonlocal parabolic problem
- Mixed problems for strongly elliptic differential-difference equations in a cylinder
- Analysis of operator models arising in problems of hereditary mechanics
- Smoothness of generalized solutions of the first boundary-value problem for an elliptic difference-differential equation
- Coercive solvability of nonlocal boundary-value problems for parabolic equations
- Existence of solutions of parabolic variational inequalities with one-sided restrictions
- Elliptic functional differential equations with contractions and extensions of independent variables of the unknown function
- On a class of essentially nonlinear elliptic differential-difference equations
- Functional-differential equations in Sobolev spaces and related problems of spectral theory
- Nonclassical boundary-value problems. II
- Nonclassical boundary value problems. I. Transl. from the Russian
- On some non-linear elliptic differential functional equations
- Équations et inéquations non linéaires dans les espaces vectoriels en dualité
- Closed extensions of the Laplace operator determined by a general class of boundary conditions
- Nonlinear mappings of monotone type in Banach spaces
- Nonlocal boundary-value problems for elliptic equations and systems
- The Bitsadze-Samarskiĭ problem for Douglis analytic functions
- The parabolic differential equations and the associated semigroups of transformation
- Rotating waves in parabolic functional differential equations with rotation of spatial argument and time delay
- Boundary-value problems for elliptic functional-differential equations and their applications
- On some properties of elliptic and parabolic functional-differential equations
- 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
- Bifurcation of periodic solutions for nonlinear parabolic functional differential equations arising in optoelectronics
- Nonlocal problems in the mechanics of three-layer shells
- On a non-linear parabolic problem with an obstacle
- Mixed Functional Differential Equations
- Nonlocal elliptic boundary value problems
- Non-Local Elliptic Boundary Value Problems
- On the eigenvalue problem for perturbed nonlinear maximal monotone operators in reflexive Banach spaces
- Diffusion Processes in One Dimension
- Elliptic functional differential equations and applications
- On solvability of a linear parabolic problem with nonlocal boundary conditions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Nonlinear differential-difference equations of elliptic and parabolic type and their applications to nonlocal problems