01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
10.08.1941
E-mail:
Keywords:
ordinary differential eguations; differential eguations in abstract spaces; functional-differential operators; partial differential eguations of elliptig type; smooth dynamical systems; general theory; theoretical approximation of solutions; Integral operators; nonlinear functional analisis; ordinary differential operators; partial differential operators.
Main publications:
Mukhamadiev E., Dzhumaev S. Ustoichivyi algoritm vychisleniya znacheniya funktsionala i ego prilozheniya k nekorrektnym zadacham // Izvestiya VUZov, 1995, 16, # 11, g. Kazan.
Mukhamadiev E., Yumagulov M. Sootnosheniya "vkhod- sostoyanie-vykhod" dlya zvenev zapazdyvayuschego tipa // Avtomatika i telemekhanika, 1995, # 7.
Mukhamadiev E. Ogranichennye resheniya i gomotopicheskie invarianty sistem nelineinykh differentsialnykh uravnenii // DAN Rossii, 1996, t. 351, # 5.
Mukhamadiev E. Gomotopicheskii tip prostranstva odnorodnykh dinamicheskikh sistem // Nelineinyi analiz i smezhnye voprosy. Trudy Instituta matematiki Respubliki Belarus. Minsk, 1999, t. 2.
E. Muhamadiev, A. N. Naimov, “On a priori estimate of periodic solutions of a system of nonlinear ordinary differential equations of the second order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 8, 45–54
2023
2.
E. Mukhamadiev, A. N. Naimov, “To the calculation of the mapping degree of finite dimensional vector field”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 6, 67–73
2022
3.
E. Mukhamadiev, A. N. Naimov, “On a priori estimate and the existence of periodic solutions for a class of systems of nonlinear ordinary differential equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 4, 37–48; Russian Math. (Iz. VUZ), 66:4 (2022), 32–42
J. T. Ahmedov, E. M. Mukhamadiev, I. J. Nurov, “Periodic and bounded solutions of second-order nonlinear differential equations”, Vladikavkaz. Mat. Zh., 24:2 (2022), 35–50
2021
5.
Z. I. Sharifzoda, È. M. Muhamadiev, I. D. Nurov, “Cyclic solutions of the Pontryagin equation with a small parameter”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 194 (2021), 167–171
6.
E. Mukhamadiev, A. N. Naimov, “On the homotopy classification of positively homogeneous functions of three variables”, Probl. Anal. Issues Anal., 10(28):2 (2021), 67–78
È. M. Muhamadiev, A. N. Naimov, “Criteria for the existence of periodic and bounded solutions of three-dimensional systems of differential equations”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:1 (2021), 157–172
E. M. Mukhamadiev, I. D. Nurov, Z. I. Sharifzoda, “Qualitative analysis and stability of the dynamics of photosynthesis in autotrophic systems”, Vladikavkaz. Mat. Zh., 23:3 (2021), 114–125
2020
9.
E. M. Mukhamadiev, A. B. Nazimov, A. N. Naimov, “On solvability of class of nonlinear equations with small parameter in Banach space”, Ufimsk. Mat. Zh., 12:3 (2020), 62–70; Ufa Math. J., 12:3 (2020), 60–68
E. Mukhamadiev, A. N. Naimov, “Evaluation of the growth order of a class of entire functions on real axis”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 1, 75–80; Russian Math. (Iz. VUZ), 62:1 (2018), 65–69
2017
12.
È. M. Muhamadiev, A. N. Naimov, “Analysis of solutions of a nonlinear scalar field differential equation”, TMF, 193:1 (2017), 25–40; Theoret. and Math. Phys., 193:1 (2017), 1429–1443
13.
M. K. Arabov, E. M. Mukhamadiev, I. D. Nurov, Kh. I. Sobirov, “Existence tests for limiting cycles of second order differential equations”, Ufimsk. Mat. Zh., 9:4 (2017), 3–11; Ufa Math. J., 9:4 (2017), 3–11
14.
E. Mukhamadiev, A. N. Naimov, A. Kh. Sattorov, “Analogue of Bohl theorem for a class of linear partial differential equations”, Ufimsk. Mat. Zh., 9:1 (2017), 75–88; Ufa Math. J., 9:1 (2017), 75–88
È. M. Muhamadiev, G. E. Grishanina, A. A. Grishanin, “On the application of the regularization method to the construction of a classical solution of Poisson's equation”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015), 196–211
E. M. Mukhamsdiev, I. D. Nurov, M. Sh. Khalilova, “Limiting cycles of piece-linear second order differential equations”, Ufimsk. Mat. Zh., 6:1 (2014), 84–93; Ufa Math. J., 6:1 (2014), 80–89
E. M. Mukhamadiev, A. N. Naimov, N. G. Bashirov, “On the solvability of the multipoint boundary value problem of calculating the loads in a continuous casting machine”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013), 236–243
2011
18.
È. M. Muhamadiev, A. N. Naimov, “Nonzero bounded solutions of one class of nonlinear ordinary differential equations”, Mat. Sb., 202:9 (2011), 121–134; Sb. Math., 202:9 (2011), 1373–1386
V. A. Morozov, È. M. Muhamadiev, A. B. Nazimov, “Continuous and bounded harmonic functions. Exact and approximate methods”, Num. Meth. Prog., 8:1 (2007), 38–60
20.
V. A. Morozov, È. M. Muhamadiev, A. B. Nazimov, “Regularization of singular systems of linear algebraic equations by shifts”, Zh. Vychisl. Mat. Mat. Fiz., 47:12 (2007), 1971–1978; Comput. Math. Math. Phys., 47:12 (2007), 1885–1892
S. Baizaev, E. Muhamadiev, “On the normal solvability of elliptic equations in the Holder space functions on plane”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 6:1 (2006), 3–13
È. Muhamadiev, A. Naimov, “On the theory of two-point boundary value problems for second-order differential equations”, Differ. Uravn., 35:10 (1999), 1372–1381; Differ. Equ., 35:10 (1999), 1391–1401
S. M. Aliakbarov, F. P. Vasil'ev, È. M. Muhamadiev, “Justification of the dynamic programming method as applied to standardization-type problems”, Zh. Vychisl. Mat. Mat. Fiz., 38:5 (1998), 740–748; Comput. Math. Math. Phys., 38:5 (1998), 711–718
È. M. Muhamadiev, M. G. Yumagulov, “Convolution-type operators in spaces of summable functions
generated by different measures”, Dokl. Akad. Nauk, 353:1 (1997), 23–25
1996
25.
È. Muhamadiev, “Bounded solutions and homotopic invariants of systems of nonlinear differential equations”, Dokl. Akad. Nauk, 351:5 (1996), 596–598
E. M. Mukhamadiev, M. G. Yumagulov, “Input-state-output relations for lag-type elements”, Avtomat. i Telemekh., 1995, no. 7, 16–23; Autom. Remote Control, 56:7 (1995), 918–924
27.
S. Dzhumaev, È. M. Muhamadiev, “A stable algorithm for computing the value of a functional and its applications to ill-posed problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 11, 85–100; Russian Math. (Iz. VUZ), 39:11 (1995), 79–93
28.
S. M. Aliakbarov, F. P. Vasil'ev, È. M. Muhamadiev, “The existence and stability of solutions of extremal standardization problems”, Zh. Vychisl. Mat. Mat. Fiz., 35:3 (1995), 323–333; Comput. Math. Math. Phys., 35:3 (1995), 259–266
S. Dzhumaev, È. Muhamadiev, “On the regularization of operator equations”, Dokl. Akad. Nauk, 324:2 (1992), 254–257; Dokl. Math., 45:3 (1992), 556–559
30.
S. Baizaev, È. Muhamadiev, “On the index of first-order elliptic operators in the plane”, Differ. Uravn., 28:5 (1992), 818–827; Differ. Equ., 28:5 (1992), 663–672
S. Baizaev, È. M. Muhamadiev, “On instability signis of stationary modes in nonlinear systems”, Avtomat. i Telemekh., 1987, no. 4, 3–8
1986
32.
È. Muhamadiev, S. Baizaev, “On the theory of bounded solutions of a generalized Cauchy–Riemann system”, Dokl. Akad. Nauk SSSR, 287:2 (1986), 280–283
33.
S. M. Aliakbarov, È. M. Muhamadiev, “Investigation of the well-posedness of an extremal problem”, Zh. Vychisl. Mat. Mat. Fiz., 26:10 (1986), 1443–1454; U.S.S.R. Comput. Math. Math. Phys., 26:5 (1986), 108–116
È. M. Muhamadiev, “On the normal solvability of elliptic operators in the spaces of functions on $\mathbb R^n$, part II”, Zap. Nauchn. Sem. LOMI, 138 (1984), 108–126
È. M. Muhamadiev, T. Kh. Khuseinov, “On one optimal problem in parallelized computation”, Avtomat. i Telemekh., 1982, no. 10, 155–158
1981
36.
È. M. Muhamadiev, “Investigations in the theory of bounded and periodic solutions of differential equations”, Mat. Zametki, 30:3 (1981), 443–460; Math. Notes, 30:3 (1981), 713–722
È. M. Muhamadiev, “On the normal solvability of elliptic operators in the spaces of functions on $\mathbb R^n$, part I”, Zap. Nauchn. Sem. LOMI, 110 (1981), 120–140; J. Soviet Math., 25:1 (1984), 884–901
M. A. Krasnosel'skii, È. M. Muhamadiev, A. V. Pokrovskii, “Bifurcation values of parameters in variational problems”, Dokl. Akad. Nauk SSSR, 255:2 (1980), 282–286
1978
39.
M. A. Krasnosel'skii, N. A. Bobylev, È. M. Muhamadiev, “On a scheme for studying degenerate extremals of functionals in the classical calculus of variations”, Dokl. Akad. Nauk SSSR, 240:3 (1978), 530–533
A. Dzhuraev, È. Muhamadiev, “On the normal solvability and index of first-order systems of composite type”, Dokl. Akad. Nauk SSSR, 235:4 (1977), 753–756
41.
Kh. A. Abduvaitov, È. M. Muhamadiev, “Invertibility conditions for a second order differential operator”, Differ. Uravn., 13:12 (1977), 2115–2123
È. Muhamadiev, “On the theory of periodic solutions of nonlinear systems of elliptic equations”, Dokl. Akad. Nauk SSSR, 208:5 (1973), 1035–1037
44.
È. Mukhamadiev, B. N. Sadovskii, “An estimate for the spectral radius of an operator associated with an equation of neutral type”, Mat. Zametki, 13:1 (1973), 67–78; Math. Notes, 13:1 (1973), 39–45
È. M. Muhamadiev, Kh. Nazhmiddinov, B. N. Sadovskii, “Application of the Schauder–Tikhonov principle to the problem of bounded solutions of differential equations”, Funktsional. Anal. i Prilozhen., 6:3 (1972), 83–84; Funct. Anal. Appl., 6:3 (1972), 246–247
É. Muhamadiev, “On the inversion of functional operators in a space of functions bounded on the axes”, Mat. Zametki, 11:3 (1972), 269–274; Math. Notes, 11:3 (1972), 169–172
È. Muhamadiev, “On invertibility of differential operators in the space of continuous functions bounded on the real axis”, Dokl. Akad. Nauk SSSR, 196:1 (1971), 47–49
È. M. Muhamadiev, V. Ya. Stetsenko, “Sufficient conditions for the convergence of the Newton–Kantorovich method in the solution of boundary value problems for quasilinear equations of elliptic type”, Sibirsk. Mat. Zh., 12:3 (1971), 576–582; Siberian Math. J., 12:3 (1971), 408–412
È. Muhamadiev, “On computing the rotation of finite-dimensional vector fields”, Dokl. Akad. Nauk SSSR, 190:3 (1970), 535–537
1969
54.
Yu. G. Borisovich, B. D. Gel'man, È. Muhamadiev, V. V. Obukhovskii, “The rotation of multivalued vector fields”, Dokl. Akad. Nauk SSSR, 187:5 (1969), 971–973
E. A. Asarin, I. A. Bakhtin, N. A. Bobylev, V. A. Bondarenko, V. Sh. Burd, E. A. Gorin, S. V. Emel'yanov, P. P. Zabreiko, L. A. Ivanov, V. S. Kozyakin, A. M. Krasnosel'skii, N. A. Kuznetsov, A. B. Kurzhanskii, A. Yu. Levin, È. M. Muhamadiev, A. I. Perov, Yu. V. Pokornyi, A. V. Pokrovskii, D. I. Rachinskii, V. V. Strygin, Ya. Z. Tsypkin, V. V. Chernorutski, “Memory of M. A. Krasnosel'skii”, Avtomat. i Telemekh., 1998, no. 2, 179–184
1988
57.
S. M. Nikol'skii, L. D. Kudryavtsev, Z. D. Usmanov, È. M. Muhamadiev, “Leonid Grigor'evich Mikhailov (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 43:2(260) (1988), 171–172; Russian Math. Surveys, 43:2 (1988), 205–207
Yu. G. Borisovich, B. D. Gel'man, È. M. Muhamadiev, V. V. Obukhovskii, “Поправки к статье “О вращении многозначных векторных полей” (ДАН, 187, № 5, 1969 г.)”, Dokl. Akad. Nauk SSSR, 190:6 (1970), 750