The well-posedness of a nonlocal multipoint problem for a differential operator equation of second order

References

[1] K. I. Babenko, On a new problem of quasi-analyticity and on the Fourier transform of entire functions (in Russian), Trudy Moskov. Mat. Obšč. 5 (1956), 523–542. Suche in Google Scholar

[2] V. A. Belavin, S. P. Kapitsa and S. P. Kurdyumov, A mathematical model of global demographic processes with regard to the spatial distribution (in Russian), Zh. Vychisl. Mat. Mat. Fiz. 38 (1998), no. 6, 885–902. Suche in Google Scholar

[3] A. Bouzinab and O. Arino, On the existence and uniqueness for an age-dependent population model with nonlinear growth, Facta Univ. Ser. Math. Inform. 8 (1993), 55–68. Suche in Google Scholar

[4] J. R. Cannon and J. van der Hoek, Diffusion subject to the specification of mass, J. Math. Anal. Appl. 115 (1986), no. 2, 517–529. 10.1016/0022-247X(86)90012-0Suche in Google Scholar

[5] V. I. C̆esalin, A problem with nonlocal boundary conditions for operator-differential equations of odd order (in Russian), Differ. Uravn. 13 (1977), no. 3, 468–476. Suche in Google Scholar

[6] A. A. Dezin, Operators with first derivative with respect to “time” and non-local boundary conditions (in Russian), Izv. Akad. Nauk SSSR Ser. Mat. 31 (1967), 61–86. Suche in Google Scholar

[7] V. I. Gorbachuk, On the solvability of the Dirichlet problem for a second-order operator-differential equation in various spaces (in Russian), Direct and Inverse Problems of the Spectral Theory of Differential Operators, Academy Nauk Ukraine, Kiev (1985), 8–22. Suche in Google Scholar

[8] V. I. Gorbachuk and M. L. Gorbachuk, Boundary Value Problems for Operator-Differential Equations (in Russian), “Naukova Dumka”, Kiev, 1984. Suche in Google Scholar

[9] V. V. Gorodetskyi, The Riemann Localization Problem: Some Aspects and Applications, Ruta, Chernivtsi, 1998. Suche in Google Scholar

[10] V. V. Gorodetskyi, The Cauchy Problem for Evolution Equations of Infinite Order, Ruta, Chernivtsi, 2005. Suche in Google Scholar

[11] M. Junusov, Operator equations with small parameter and nonlocal boundary conditions (in Russian), Differ. Uravn. 17 (1981), no. 1, 172–181. Suche in Google Scholar

[12] A. R. Maĭkov, A. D. Poezd and S. A. Yakunin, An efficient method for calculating nonstationary radiation conditions that are nonlocal in time for waveguide systems (in Russian), Zh. Vychisl. Mat. Mat. Fiz. 30 (1990), no. 8, 1267–1271; translation in USSR Comput. Math. Math. Phys. 30 (1990), no. 4, 213–216. Suche in Google Scholar

[13] A. A. Makarov, On the existence of a well-posed two-point boundary value problem in a layer for systems of pseudo-differential equations (in Russian), Differ. Uravn. 30 (1994), no. 1, 144–150; translation in Differ. Equ. 30 (1994), no. 1, 133–138. Suche in Google Scholar

[14] A. K. Mamyan, General boundary value problems in a layer (in Russian), Dokl. Akad. Nauk SSSR 267 (1982), no. 2, 292–296. Suche in Google Scholar

[15] A. M. Nakhushev, An approximate method for solving boundary value problems for differential equations and its application to the dynamics of ground moisture and ground water (in Russian), Differ. Uravn. 18 (1982), no. 1, 72–81. Suche in Google Scholar

[16] A. M. Nakhushev, Nonlocal boundary value problems with shift and their connection with loaded equations (in Russian), Differ. Uravn. 21 (1985), no. 1, 92–101. Suche in Google Scholar

[17] A. M. Nakhushev, Equations of Mathematical Biology (in Russian), Visshaya Shkola, Moscow, 1995. Suche in Google Scholar

[18] B. Y. Ptashnyk, V. S. Il’kiv, I. Y. Kmit’ and V. M. Polischuk, Nonlocal Boundary Value Problems with Partial Differential Equations (in Ukrainian), Naukova Dumka, Kyiv, 2002. Suche in Google Scholar

[19] V. K. Romanko, Boundary value problems for a certain class of differential operators (in Russian), Differ. Uravn. 10 (1974), 117–131. Suche in Google Scholar

[20] A. A. Samarskiĭ, Some problems of the theory of differential equations (in Russian), Differ. Uravn. 16 (1980), no. 11, 1925–1935. Suche in Google Scholar

[21] A. L. Skubachevskiĭ, Model nonlocal problems for elliptic equations in dihedral angles (in Russian), Differ. Uravn. 26 (1990), no. 1, 120–131; translation in Differ. Equ. 26 (1990), no. 1, 106–115. Suche in Google Scholar

[22] J. Song, Some developments in mathematical demography and their application to the People’s Republic of China, Theoret. Pop. Biol. 22 (1982), no. 3, 382–391. 10.1016/0040-5809(82)90051-XSuche in Google Scholar