Voir la notice de l'article provenant de la source Math-Net.Ru
@article{EMJ_2020_11_3_a0, author = {A. T. Assanova and Z. S. Tokmurzin}, title = {A nonlocal multipoint problem for a system of fourth-order partial differential equations}, journal = {Eurasian mathematical journal}, pages = {8--20}, publisher = {mathdoc}, volume = {11}, number = {3}, year = {2020}, language = {en}, url = {http://geodesic.mathdoc.fr/item/EMJ_2020_11_3_a0/} }
TY - JOUR AU - A. T. Assanova AU - Z. S. Tokmurzin TI - A nonlocal multipoint problem for a system of fourth-order partial differential equations JO - Eurasian mathematical journal PY - 2020 SP - 8 EP - 20 VL - 11 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/EMJ_2020_11_3_a0/ LA - en ID - EMJ_2020_11_3_a0 ER -
A. T. Assanova; Z. S. Tokmurzin. A nonlocal multipoint problem for a system of fourth-order partial differential equations. Eurasian mathematical journal, Tome 11 (2020) no. 3, pp. 8-20. http://geodesic.mathdoc.fr/item/EMJ_2020_11_3_a0/
[1] A. T. Asanova, “On the unique solvability of a family of two-point boundary-value problems for systems of ordinary differential equations”, Journal of Mathematical Sciences, 150:5 (2008), 2302–2316 | DOI | MR | Zbl
[2] A. T. Asanova, “Multipoint problem for a system of hyperbolic equations with mixed derivative”, Journal of Mathematical Sciences (United States), 212:3 (2016), 213–233 | DOI | MR | Zbl
[3] A. T. Asanova, D. S. Dzhumabaev, “Correct solvability of a nonlocal boundary value problem for systems of hyperbolic equations”, Doklady Mathematics, 68:1 (2003), 46–49 | MR
[4] A. T. Asanova, D. S. Dzhumabaev, “Well-posed solvability of nonlocal boundary value problems for systems of hyperbolic equations”, Differential Equations, 41:3 (2005), 352–363 | DOI | MR | Zbl
[5] A. T. Asanova, D. S. Dzhumabaev, “Well-posedness of nonlocal boundary value problems with integral condition for the system of hyperbolic equations”, Journal of Mathematical Analysis and Applications, 402:1 (2013), 167–178 | DOI | MR | Zbl
[6] A. T. Assanova, A. E. Imanchiev, “On conditions of the solvability of nonlocal multi-point boundary value problems for quasi-linear systems of hyperbolic equations”, Eurasian Mathematical Journal, 6:4 (2015), 19–28 | MR | Zbl
[7] J. L. Daletskii, M. G. Krein, Stability of solutions of differential equations in Banach space, Nauka, Moscow, 1970 (in Russian) | MR
[8] D. S. Dzhumabaev, “Conditions the unique solvability of a linear boundary value problem for a ordinary differential equations”, Computational Mathematics and Mathematical Physics, 29:1 (1989), 34–46 | DOI | MR | Zbl
[9] D. C. Ferraioli, K. Tenenblat, “Fourth order evolution equations which describe pseudospherical surfaces”, Journal of Differential Equations, 257 (2014), 3165–3199 | DOI | MR | Zbl
[10] I. T. Kiguradze, “Boundary-value problems for system of ordinary differential equations”, Journal of Soviet Mathematics, 43:2 (1988), 2259–2339 | DOI | MR
[11] T. Kiguradze, “On solvability and well-posedness of boundary value problems for nonlinear hyperbolic equations of the fourth order”, Georgian Mathematical Journal, 15:3 (2008), 555–569 | MR | Zbl
[12] T. Kiguradze, V. Lakshmikantham, “On the Dirichlet problem for fourth order linear hyperbolic equations”, Nonlinear Analysis, 49:2 (2002), 197–219 | DOI | MR | Zbl
[13] I. G. Mamedov, “A fundamental solution to the Cauchy problem for a fourth-order pseudoparabolic equation”, Computational Mathematics and Mathematical Physics, 49:1 (2009), 93–104 | DOI | MR | Zbl
[14] B. Midodashvili, “A nonlocal problem for fourth order hyperbolic equations with multiple characteristics”, Electronic Journal of Differential Equations, 2002:85 (2002), 1–7 | MR
[15] B. Midodashvili, “Generalized Goursat problem for a spatial fourth order hyperbolic equation with dominated low terms”, Proc. of A. Razmadze Math. Institute, 138 (2005), 43–54 | MR | Zbl
[16] A. M. Nakhushev, Problems with shift for a partial differential equations, Nauka, M., 2006 (in Russian) | MR
[17] B. I. Ptashnyck, Ill-posed boundary value problems for partial differential equations, Naukova Dumka, Kiev, Ukraine, 1984 (in Russian) | MR
[18] B. Y. Ptashnyck, V. S. Il'kiv, I. I. Kmit', V. M. Polishuk, Nonlocal boundary value problems for partial differential equations, Naukova Dumka, Kiev, Ukraine, 2002 (in Ukranian) | MR
[19] A. M. Samoilenko, V. N. Laptinskii, K. K. Kenzhebayev, “Constructive methods of investigation of periodic and multi-point boundary value problems”, Proceedings of Institute of Mathematics of the National Academy of Sciences of Ukraine, 29, Institute of Mathematics the National Academy of Sciences Ukraine, Kiev, 1999, 1–220 (in Russian) | MR
[20] A. M. Samoilenko, N.I Ronto, Numerical-analytical methods for investigation of a solutions of boundary value problems, Naukova Dumka, Kiev, Ukraine, 1985 (in Russian) | MR
[21] A. C. Scott, The nonlinear universe: chaos, emergence, life, Springer-Verlag, Berlin–Heidelberg, 2007 | MR