The Cauchy Problem, Åhe System Elasticity Theory,Ñouple-Stress, elliptic, ill-posed
problems, Karleman's funktion, Karleman's matrix
Subject:
The Cauchy Problem for the System Elasticity Theory
Main publications:
O. I. Makhmudov, I. E. Niyozov, “The Cauchy problem for the
Lame system in infinite domains in $R^{m}$”, Journal of Inverse and Ill-Posed Problems, 14:9 (2006), 905–924
O. I. Makhmudov, I. E.Niyozov, “Regularization of a solution to the
Cauchy Problem for the System of Thermoelasticity”, Complex analysis and dynamical systems II, Contemp. Math., 382, Amer. Math. Soc., Providence, RI, 2005, 285–289
O. I. Makhmudov, I. E. Niyozov, N. Tarkhanov, “The Cauchy Problem of Couple-Stress Elasticity”, Complex analysis and dynamical systems III, Contemp. Math., 455, Amer. Math. Soc., Providence, RI, 2008, 297–310
Olimdjan I. Makhmudov, Ikbol E. Niyozov, “The Cauchy problem for equation of elasticity theory”, J. Sib. Fed. Univ. Math. Phys., 16:2 (2023), 162–175
2020
2.
I. E. Niyozov, “Regularization of a nonstandard Cauchy problem for a dynamic Lame system”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 4, 54–63; Russian Math. (Iz. VUZ), 64:4 (2020), 44–53
I. E. Niyozov, O. I. Makhmudov, “The Cauchy problem of the moment elasticity theory in $\mathbf R^m$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 2, 30–37; Russian Math. (Iz. VUZ), 58:2 (2014), 24–30
O. I. Makhmudov, I. É. Niezov, “On the Cauchy problem for a multidimensional system of Lamé equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 4, 41–50; Russian Math. (Iz. VUZ), 50:4 (2006), 39–49
O. I. Makhmudov, I. É. Niezov, “A Cauchy problem for the system of elasticity equations”, Differ. Uravn., 36:5 (2000), 674–678; Differ. Equ., 36:5 (2000), 749–754
O. I. Makhmudov, I. É. Niezov, “Regularization of solutions of the Cauchy problem for systems of elasticity theory in infinite domains”, Mat. Zametki, 68:4 (2000), 548–553; Math. Notes, 68:4 (2000), 471–475
O. I. Makhmudov, I. É. Niezov, “Regularization of the solution of the Cauchy problem for a system of equations in the theory of elasticity in displacements”, Sibirsk. Mat. Zh., 39:2 (1998), 369–376; Siberian Math. J., 39:2 (1998), 323–330
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