## Dr Komil Kuliev

### Overview

Telephone: +44(0)29 208 75259

Fax: +44(0)29 208 74199

Extension: 75259

Location: M/2.13

#### Research Interest

Differential Equations, Inequalities.

#### Research Group

Analysis and Differential Equations

#### Recent Significant Publications

Drábek, P.; Kuliev, K. Half-linear Sturm-Liouville problem with weights. Bull. Belg. Math. Soc. Simon Stevin 19(2012), no. 1, 107-119;

Kufner, A.; Kuliev, K.; Persson, L.-E. Some higher order Hardy inequalities. J. Ineq. &Appl. 69(2012), no.1, 1-14.

### Publications

Kufner, A.; Kuliev, K. The Hardy inequality with “negative powers”. Adv. Algebra Anal. 1(2006), no.3, 219-228;

Kufner, A.; Kuliev, K; Oguntuase, J. A.; Persson, L.-E. Generalized weighted inequality with negative powers. J. Math. Inequal. 1(2007), no.2, 269-280;

Kuliev, Komil; Persson, Lars-Erik. An extension of Rothe’s method to non-cylindrical domains. Appl. Math. 52(2007), no.5, 365-389;

Gogatishvilli, A.; Kuliev, K.; Kulieva, G. Some conditions characterizing the “reverse” Hardy inequality. Real Anal. Exchange 33(2008), no.1, 249-257;

Kufner, A.; Kuliev, K.; Kulieva, G. The Hardy inequality with one negative parameter. Banach J. Math. Anal. 2(2008), no.2, 76-84;

Kufner, A.; Kuliev, K.; Kulieva, G. Transformation method for parabolic equations and variational inequalities in non-cylindrical domains. Far East J. Math. Sci. (FJMS) 28(2008), no.1, 17-36;

Kufner, A.; Kuliev, K.; Kulieva, G. Conditions characterizing the Hardy and reverse Hardy inequalities. Math. Inequal. Appl. 12(2009), no.4, 693-700;

Essel, Emmanuel Kwame; Kuliev, Komil; Kulieva, Gulchehra; Persson, Lars-Erik Homogenization of quasilinear parabolic problems by the method of Rothe and two scale convergence. Appl. Math. 55(2010), no.4, 305-327;

Kufner, A.; Kuliev, K. Some characterizing conditions for the Hardy inequality. Eurasian Mathematical Journal (EMJ). 1(2010), no.2, 86-98;

### Research

#### Preprints

Kufner, A.; Kuliev, K.; Kulieva, G. Transformation method for parabolic equations and variational inequalities in non-cylindrical domains. Research report 2006-12, Department of Mathematics, Luleå University of Technology, Sweden, ISSN 1400-4003;

Kuliev, Komil; Kulieva, Gulchehra; Essel, Emmanuel Kwame; Persson, Lars-Erik Linear parabolic problems with singular coefficients in non-cylindrical domains. Research report 2006-14, Department of Mathematics, Luleå University of Technology, Sweden, ISSN 1400-4003;

Kuliev, K.; Kulieva, G.; Persson, L.-E. Parabolic variational inequalities with singularities. Research report 2007-2, Department of Mathematics, Luleå University of Technology, Sweden, ISSN 1400-4003;

Essel, Emmanuel Kwame; Kuliev, Komil; Kulieva, Gulchehra; Persson, Lars-Erik Homogenization of quasilinear parabolic problems by the method of Rothe and two scale convergence. Research report 2008-3, Department of Mathematics, Luleå University of Technology, Sweden, ISSN 1400-4003.

**Doctoral Thesis**

**Parabolic problems on non-cylindrical domains – The method of Rothe.**PhD thesis (2007), Department of Mathematics, University of West Bohemia, Czech Republic;

**Licentiate Thesis**

**Parabolic problems on non-cylindrical domains – The method of Rothe.**Lic. thesis (2006), Department of Mathematics, Luleå University of Technology, Sweden;

Address for the thesis:** **http://epubl.ltu.se/1402-1757/2006/66/LTU-LIC-0666-SE.pdf

**Major Conference Talks**

06/2009: “Some characterizing conditions of Hardy inequality” Analysis, Inequalities and Homogenization Theory. Lulea, June 8-11 2009