RUS  ENG
Full version
JOURNALS // Bulletin of Irkutsk State University. Series Mathematics

Bulletin of Irkutsk State University. Series Mathematics, 2026, Volume 55, Pages 31–45 (Mi iigum643)

Composite-type differential equations with degeneration
A. I. Kozhanov, B. V. Zhigzhitzhapov

References

1. Alsyikova A.A., “Nonlocal Problems with Integral Conditions for the Bussinesq Equation”, Matematicheskie Zametki SVFU, 23:1 (2016), 3–11 (in Russian)
2. Amirov Sh., Kozhanov A.I., “Global solvability of initial boundary-value problems for nonlinear analogs of the Boussinesq equation”, Mathematical Notes, 99:2 (2016), 183–191  mathnet  crossref  crossref  mathscinet
3. Bogatov A.V., Gilev A.V., Pulkina L.S., “A Problem with a Nonlocal Condition for a Fourth-Order Equation with Multiple Characteristics”, Vestnik Rossiiskikh Universitetov. Matematika, 27:139 (2022), 214–230 (in Russian)  mathnet  crossref
4. Gabov S., Sveshnikov A., Linear Problems in the Theory of Non-Steady-State Internal Waves, Nauka Publ., M., 1990, 344 pp. (in Russian)  mathscinet
5. Demidenko G.V., Uspenskii S.V., Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative, CRC Press, Boca Raton, 2003, 632 pp.  crossref  mathscinet
6. Dzhuraev T.D., Sopuev A.K., Theory of partial differential equations of even order, Fan Publ., Tashkent, 2000, 144 pp. (in Russian)
7. Zamyshliaeva A.A., Bychkov E.V., “The Initial-Boundary Value Problem for a Nonlinear Modified Bussinesq Equation”, Differentsialnye Uravneniia, 60:8 (2024), 1076–1085 (in Russian)  crossref  mathscinet
8. Zamyshliaeva A.A., “The Initial-Final Value Problem for the Inhomogeneous Bussinesq-Love Equation”, Vestnik Iuzhno-Uralskogo Gosudarstvennogo Universiteta. Seriia: Matematicheskoe Modelirovanie i Programmirovanie, 2011, no. 37 (254), 22–29 (in Russian)  mathnet
9. Zamyshliaeva A.A., Iuzeeva A.V., “The Initial-Final Value Problem for the Bussinesq-Love Equation”, Vestnik Iuzhno-Uralskogo Gosudarstvennogo Universiteta. Seriia: Matematicheskoe Modelirovanie i Programmirovanie, 2010, no. 16 (192), 23–31 (in Russian)  mathnet
10. Zhegalov V.I., Mironov A.N., Utkina E.A., Equations with a dominating higher partial derivative, Kazan University Press, Kazan, 2014, 385 pp. (in Russian)
11. Zhegalov V.I., “On a Problem for the Generalized Bussinesq-Love Equation”, J. Samara State Tech. Univ., Ser. Phys. Math. Sci., 23:4 (2019), 771–776 (in Russian)  mathnet  crossref
12. Ikezi H., “Experiments on Solitons in Plasmas”, Solitons in Action, ed. Longren K., Academic Press, New York, 1978, 153–172
13. Kozhanov A. I., Shadrina N. N., “Issledovanie vliyaniya parametrov na korrektnost zadachi sopryazheniya dlya differentsialnogo uravneniya Bussineska – Lyava”, Chelyabinskii fiziko-matematicheskii zhurnal, 7:1 (2022), 30–42  mathnet  crossref  mathscinet
14. Korpusov M.O., Blow-up in Nonlinear Wave Equations with Positive Energy, Librokom Publ., M., 2012, 256 pp. (in Russian)
15. Pulkina L.S., “A problem with nonlocal integral 1st kind conditions for 4th order partial differential equation”, Vestnik Samarskogo Universiteta. Estestvennonauchnaia Seriia, 30:2 (2024), 30–44 (in Russian)  mathnet  crossref  mathscinet
16. Sobolev S.L., Applications of Functional Analysis in Mathematical Physics, AMS, Rhode Island, 1969, 256 pp.  mathscinet  mathscinet
17. Whitham G.B., Linear and Nonlinear Waves, Wiley, New York, 1974, 664 pp.  mathscinet
18. Yuldashev T.K., “On the Boundary Value Problem for a Three-Dimensional Analogue of the Boussinesq Differential Equation”, Uchenye Zapiski Kazanskogo Universiteta. Seriia: Fiziko-Matematicheskie Nauki, 158:3 (2016), 424–433 (in Russian)  mathnet  mathscinet
19. Kozhanov A. I., “Boundary-Value Problems for Sobolev-Type Equations with Irreversible Operator Coefficient of the Highest Derivatives”, Journal of Mathematical Sciences, 260:3 (2022), 307–314  crossref
20. Triebel H., Interpolation Theory, Function Spaces, Differential Operators, ed. H. Triebel, North-Holland Publ., Amsterdam, 1978, 528 pp.  mathscinet


© Steklov Math. Inst. of RAS, 2026