References
- Antonevich AB. Elliptic pseudodifferential operators with a finite group of shifts. Math USSR-Izv. 1973;7(3):661–673. doi: 10.1070/IM1973v007n03ABEH001968
- Hartman P, Stampacchia G. On some non-linear elliptic differential-functional equations. Acta Math. 1966;115:271–310. doi: 10.1007/BF02392210
- Rabinovich VS. On the solvability of differential-difference equations on Rn and in a half-space. Soviet Math Dokl. 1978;19:1498–1502.
- Onanov GG, Skubachevskii AL. Differential equations with displaced arguments in stationary problems in the mechanics of a deformable body. Soviet Appl Mech. 1979;15(5):391–397. doi: 10.1007/BF01074069
- Onanov GG, Skubachevskii AL. Nonlocal problems in the mechanics of three-layer shells. Math Model Nat Phenom. 2017;12:192–207. doi: 10.1051/mmnp/2017072
- Razgulin AV. Self-excited oscillations in the nonlinear parabolic problem with transformed argument. Comput Math Math Phys. 1993;33(1):61–70.
- Skubachevskii AL. Bifurcation of periodic solutions for nonlinear parabolic functional differential equations arising in optoelectronics. Nonlinear Anal. 1998;32(2):261–278. doi: 10.1016/S0362-546X(97)00476-8
- Skubachevskii AL. Boundary-value problems for elliptic functional-differential equations and their applications. Uspekhi Math Nauk [Russian Math Surveys]. 2016;71(5):3–112. doi: 10.4213/rm9739
- Vorontsov MA, Iroshnikov NG, Abernathy RL. Diffractive patterns in a nonlinear optical two-dimensional feedback system with field rotation. Chaos Solutions Fractals. 1994;4(8–9):1701–1716. doi: 10.1016/0960-0779(94)90105-8
- Feller W. Diffusion processes in one dimension. Trans Amer Math Soc. 1954;77:1–30. doi: 10.1090/S0002-9947-1954-0063607-6
- Skubachevskii AL. Elliptic functional differential equations and applications. Basel: Birkhäuser; 1997. 293 p.
- Bitsadze AV, Samarskii AA. On some simple generalizations of linear elliptic boundary value problems. Soviet Math Dokl. 1969;10:398–400.
- Skubachevskii AL. The Kato conjecture for elliptic differential-difference operators with degeneration in a cylinder. Doklady Mathematics. 2018;97(1):32–34. doi: 10.1134/S1064562418010106