The new fixed point theorems have been proved and applied;

The compactness method has been generalized and the method of simultaneously applying of generalized compactness and monotonicity methods has been obtained and applied; 

The new classes of degenerated nonlinear problems, including some modifications of math-physics problems have been studied;

The new classes of functional spaces and the notion of boundary value of functions from the weighted Sobolev spaces have been introduced and investigated; some problem of free boundary has been studied; fuzzy dynamical systems have been studied; with assistance of the obtained general methods a lot of non-linear problems (including some problems introduced by J.L.Lions and M.I.Vishik) have been solved and the method for studying the normal solvability of nonlinear equations has been obtained

1.  "Nonlinear equations in Banach spaces with continuous operators and diff. equations", Functional analysis and its applications, 1999, 33, 1 (in Russian)

2.  "Dynamical model to investigate of fuzzy-neuro Networks", Proc. Fourth ICAFS, 2000, Siegen, Germany (joint with N.M. Allahverdi, Kh.G.Guseynov)

3.  "Nonlinear equations in nonreflexive Banach spaces and fully nonlinear equations", Advances in Mathematical Sciences and Applications, 1999,9,2 (joint with Sprekels j.)

4.  "Free boundary problem for one nonlinear equation of parabolic type", Proc. IMM AS, Azerbaijan, 1999, 10(18) (joint with E.B.Novruzov)

5.  "On boundary values of functions from weighted Sobolev " Proc. Int. conf. of Func. spaces. Dif.equa., 1998 (joint with M.A.Akmedov)

American Mathematical Society

New York Academy of Science

International Federation of Nonlinear Analysers