References
- Dokuchaev N. On recovering parabolic diffusions from their time-averages. Calc Var Partial Differ Equ. 2019;58:27. doi:https://doi.org/10.1007/s00526-018-1464-1
- Prilepko AI, Kostin AB. On certain inverse problems for parabolic equations with final and integral observation. Russ Acad Sci Sb Math. 1993;75(2):473–490.
- Ashyralyev A, Sirma A. Nonlocal boundary value problems for the Schrödinger equation. Comput Math Appl. 2008;55:392–407.
- Bunoiu R, Precup R. Vectorial approach to coupled nonlinear Schrödinger systems under nonlocal Cauchy conditions. Appl Anal. 2016;95:731–747.
- Dokuchaev N. On recovering of solutions of Schrödinger equations from their time averages; 2019. Available from: arXiv:1906.08159.
- Sytnyk D, Melnik R. Linear nonlocal problem for the abstract time-dependent non-homogeneous Schrödinger equation. Working paper; 2016. Available from: arXiv:1609.08670.
- Assanova AT. Solvability of a nonlocal problem for a hyperbolic equation with integral conditions. Electron J Differ Equ. 2017;170:1–12.
- Asanova AT, Dzhumabaev DS. Well-posedness of nonlocal boundary value problems with integral condition for the system of hyperbolic equations. J Math Anal Appl. 2013;402(1):167–178.
- Beilin S. Existence of solution for one-dimensional wave equations with nonlocal conditions. Electron J Differ Equ. 2001;76:1–8.
- Bouziani A. Strong solution of a mixed problem with a nonlocal condition for a class of hyperbolic equations. Acad Roy Belg Bull Cl Sci (6). 1997;8(1–6):53–70 (French).
- Denche M, Marhoune AL. Mixed problem with integral boundary condition for a high order mixed type partial differential equation. J Appl Math Stochastic Anal. 2003;16(1):69–79.
- Dmitriev BV. Nonlocal problem with nonlinear integral conditions for a hyperbolic equation. Vestn Samar Gos Univ. 2009;1(18):26–32.
- Kalenyuk PI, Kuduk G, Kohut IV, Nytrebych ZM. Problem with integral conditions for differential-operator equation. J Math Sci. 2015;208(3):267–276.
- Kuz' AM, Ptashnyk BI. A problem with integral conditions with respect to time for Grding hyperbolic equations. Ukrainian Math J. 2013;65(2):277–293.
- Mesluob S, Bouziani A. Mixed problem with integral conditions for a certain class of hyperbolic equations. J Appl Math. 2001;3:107–116.
- Pul'kina LS, Savenkova AE. A problem with a nonlocal, with respect to time, condition for multidimensional hyperbolic equations. Russ Math. 2016;60(10):33–43.
- Gal GC, Gal NJ. A spectral approach to ill-posed problems for wave equations. Annali di Matematica. 2008;187:705–717.
- Levine HA, Vessella S. Stabilization and regularization for solutions of an ill-posed problem. Math Methods Appl Sci. 1985;2:202–209.