@book{MakhmudovNiyozov2005, author = {Makhmudov, O. I. and Niyozov, I. E.}, title = {The cauchy problem for the lame system in infinite domains in Rm}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {27 S.}, year = {2005}, language = {en} } @book{MakhmudovNiyozov2005, author = {Makhmudov, O. I. and Niyozov, I. E.}, title = {Regularization of the cauchy problem for the system of elasticity theory in Rm}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {14 S.}, year = {2005}, language = {en} } @unpublished{MakhmudovNiyozov2005, author = {Makhmudov, O. I. and Niyozov, I. E.}, title = {Regularization of the Cauchy Problem for the System of Elasticity Theory in R up (m)}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-29983}, year = {2005}, abstract = {In this paper we consider the regularization of the Cauchy problem for a system of second order differential equations with constant coefficients.}, language = {en} } @unpublished{MakhmudovNiyozov2005, author = {Makhmudov, O. I. and Niyozov, I. E.}, title = {The Cauchy problem for the Lame system in infinite domains in R up(m)}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-29967}, year = {2005}, abstract = {We consider the problem of analytic continuation of the solution of the multidimensional Lame system in infinite domains through known values of the solution and the corresponding strain tensor on a part of the boundary, i.e,the Cauchy problem.}, language = {en} } @book{MakhmudovNiyozovTarkhanov2006, author = {Makhmudov, O. I. and Niyozov, I. E. and Tarkhanov, Nikolai Nikolaevich}, title = {The cauchy problem of couple-stress elasticity}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {15 S.}, year = {2006}, language = {en} } @article{MakhmudoMakhmudovTarkhanov2011, author = {Makhmudo, K. O. and Makhmudov, O. I. and Tarkhanov, Nikolai Nikolaevich}, title = {Equations of Maxwell type}, series = {Journal of mathematical analysis and applications}, volume = {378}, journal = {Journal of mathematical analysis and applications}, number = {1}, publisher = {Elsevier}, address = {San Diego}, issn = {0022-247X}, doi = {10.1016/j.jmaa.2011.01.012}, pages = {64 -- 75}, year = {2011}, abstract = {For an elliptic complex of first order differential operators on a smooth manifold X, we define a system of two equations which can be thought of as abstract Maxwell equations. The formal theory of this system proves to be very similar to that of classical Maxwell's equations. The paper focuses on boundary value problems for the abstract Maxwell equations, especially on the Cauchy problem.}, language = {en} } @unpublished{MakhmudovMakhmudovTarkhanov2015, author = {Makhmudov, K. O. and Makhmudov, O. I. and Tarkhanov, Nikolai Nikolaevich}, title = {A nonstandard Cauchy problem for the heat equation}, volume = {4}, number = {11}, publisher = {Universit{\"a}tsverlag Potsdam}, address = {Potsdam}, issn = {2193-6943}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-83830}, pages = {14}, year = {2015}, abstract = {We consider a Cauchy problem for the heat equation in a cylinder X x (0,T) over a domain X in the n-dimensional space with data on a strip lying on the lateral surface. The strip is of the form S x (0,T), where S is an open subset of the boundary of X. The problem is ill-posed. Under natural restrictions on the configuration of S we derive an explicit formula for solutions of this problem.}, language = {en} } @article{MakhmudovMakhmudovTarkhanov2017, author = {Makhmudov, K. O. and Makhmudov, O. I. and Tarkhanov, Nikolai Nikolaevich}, title = {A nonstandard Cauchy problem for the heat equation}, series = {Mathematical Notes}, volume = {102}, journal = {Mathematical Notes}, publisher = {Pleiades Publ.}, address = {New York}, issn = {0001-4346}, doi = {10.1134/S0001434617070264}, pages = {250 -- 260}, year = {2017}, abstract = {We consider the Cauchy problem for the heat equation in a cylinder C (T) = X x (0, T) over a domain X in R (n) , with data on a strip lying on the lateral surface. The strip is of the form S x (0, T), where S is an open subset of the boundary of X. The problem is ill-posed. Under natural restrictions on the configuration of S, we derive an explicit formula for solutions of this problem.}, language = {en} } @article{MakhmudovTarchanov2017, author = {Makhmudov, O. I. and Tarchanov, Nikolaj Nikolaevič}, title = {The first mixed problem for the nonstationary Lam{\´e} system}, series = {The Rocky Mountain journal of mathematics}, volume = {47}, journal = {The Rocky Mountain journal of mathematics}, number = {8}, publisher = {Rocky Mountain Mathematics Consortium}, address = {Tempe}, issn = {0035-7596}, doi = {10.1216/RMJ-2017-47-8-2731}, pages = {2731 -- 2756}, year = {2017}, abstract = {We find an adequate interpretation of the stationary Lam'{e} operator within the framework of elliptic complexes and study the first mixed problem for the nonstationary Lam'{e} system.}, language = {en} }