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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya

Vestnik SamU. Estestvenno-Nauchnaya Ser., 2016, Issue 3-4, Pages 51–62 (Mi vsgu510)

The boundary value problem for a hyperbolic equation with Bessel operator in a rectangular domain with integral boundary value condition of the first kind
N. V. Zaitseva

References

1. Koshlyakov N. S., Gliner E. B., Smirnov M. M., Equations of mathematical physics in partial derivatives, Vysshaya shkola, M., 1970, 712 pp. (in Russ.)
2. Pulkin S. P., Selected Works, Univers Group Publishers, Samara, 2007, 264 pp. (in Russ.)
3. Pulkin S. P., “On uniqueness of solution of singular Hellerstedt problem”, Izv. vuzov. Mathem., 1960, no. 6(19), 214–225 (in Russ.)  mathnet  zmath
4. Sabitov K. B., Ilyasov R. R., “Ill-posed boundary value problems for certain class of hyperbolic equations”, Izv. vuzov. Mathem., 2001, no. 5, 59–63 (in Russ.)  mathnet
5. Sabitov K. B., Ilyasov R. R., “Solution of Tricomi problem for equation of mixed type with singular coefficient by spectral method”, Izv. vuzov. Mathem., 2004, no. 2, 64–71 (in Russ.)  mathnet
6. Cannon I. R., “The solution of heat equation subject to the specification of energy”, Quart. Appl. Math., 21:2 (1963), 155–160  crossref  mathscinet
7. Kamynin L. I., “Certain boundary value problem of heat-conductivity theory with non-classical boundary conditions”, Journ. Vych. Math. i Math. Phys., 4:6 (1964), 1006–1024 (in Russ.)  mathnet
8. Ionkin N. I., “Solution of certain boundary value problem on heat-conductivity with non-classical boundary condition”, Differ. Uravn., 13:2 (1977), 276–304 (in Russ.)  mathnet
9. Pulkina L. S., “Non-local problem with integral condition for hyperbolic equations”, Differ. Uravn., 40:7 (2004), 887–892 (in Russ.)  mathnet  zmath
10. Pulkina L. S., Problems with non-classical conditions for hyperbolic equations, Samara University Publishers, Samara, 2012, 194 pp. (in Russ.)
11. Sabitov K. B., “Boundary value problem for equation of parabolic-hyperbolic type with nonlocal integral condition”, Differ. Uravn., 46:10 (2010), 1468–1478 (in Russ.)  zmath  elib
12. Yurchuk N. I., “Mixed problem with integral condition for some hyperbolic equations”, Differ. Uravn., 22:12 (1986), 2117–2126 (in Russ.)  mathnet  zmath
13. Benouar N. E., Yurchuk N. I., “Mixed problem with integral condition for a parabolic eqyations with Bessel operator”, Differ. Uravn., 27:12 (1991), 2094–2098 (in Russ.)  mathnet
14. Bouziani A., Mesloub S., “A strong solution of an envolution problem with integral condition”, Georgian Mathematical Journal, 9:12 (2002), 149–159  mathscinet  zmath
15. Beilin S. A., “Existence of solutions for one-dimensional wave equations with nonlocal conditions”, Electronic Journal of Differential Equations, 2001, no. 76, 1–8  mathscinet
16. Beilin S. A., “Mixed problem with integral condition for wave equation”, Nonclassical equations of mathematical phisics, Sobolev Institute of Mathematics, Novosibirsk, 2005, 37–43 (in Russ.)
17. Sabitov K. B., “Nonlocal problem for equation of parabolic-hyperbolic type in rectangular domain”, Mathem. Zametki, 9:4 (2011), 596–602 (in Russ.)  mathnet  crossref
18. Sabitiva Yu. K., “Non-local initial-boundary value problems for degenerate hyperbolic equation”, Izv. vuzov. Mathem., 2009, no. 12, 49–58 (in Russ.)  mathnet
19. Sabitov K. B., Vagapova E. V., “Dirichlet problem for an equation of mixed type with two degeneration lines in a rectangular domain”, Differential equations, 49:1 (2013), 68–78 (in Russ.)  zmath  elib
20. Sabitiva Yu. K., “Boundary value problem with non-local integral condition for equations of mixed type with degeneration on transfer line”, Mathem. Zametki, 98:3 (2015), 393–406 (in Russ.)  mathnet  crossref  zmath  elib
21. Watson G. N., Theory of Bessel functions, v. I, Inostr. Literature, M., 1949, 799 pp. (in Russ.)
22. Olver F. W. J., Introduction to asymptotics and special functions, Mir, M., 1986, 381 pp. (in Russ.)


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