Shakir Ali Aligarh Muslim University, Aligarh, India 

Title: Functional Equations In Rings 
Amiran Gogatishvili Czech Academy of Sciences, Czechia 

Title: Interpolation spaces and Hölderian mappings, applications to Quasilinear P.D.E.s Abstract: As in the work of Tartar [1], we develop here some new results on nonlinear interpolation of αHölderian mappings between normed spaces, by studying the action of the mappings on Kfunctionals and between interpolation spaces with logarithm functions. We apply these results to obtain some regularity results on the gradient of the solutions to quasilinear equations of the form 
Ushangi Goginava Ivane Javakhishvili Tbilisi State University, Georgia 

Title: Limits of sequence of Tensor Product Operators connected to the WalshPaley system 
Chaudry Masood Khalique NorthWest University, South Africa 

Title: Applications of Lie Groups to Differential Equations Abstract: During the latter half of the nineteenth century, the distinguished Norwegian mathematician Marius Sophus Lie (18421899) developed the theory of continuous groups and applied it to the study of geometry and differential equations. His investigations led to one of the major branches of 20thcentury mathematics, the theory of Lie groups and Lie algebras. This technique systematically connects and broadens the wellknown ad hoc methods to construct closedform solutions of differential equations, particularly for nonlinear differential equations. In this talk we present Lie’s theory in brief and its applications to differential equations. 
Veli Shakhmurov Antalya Bilim University, Antalya, Turkey 

Title: Cauchy problem for linear and nonlinear nonlocal GinzburgLandau equations Abstract: In this study, the Cauchy problem for linear and nonlinear nonlocal GinzburgLandau equations is mentioned. The equations include variable coefficients with convolution terms. Here, assuming enough smoothness on the initial data and the growth conditions on coefficients, we obtain first the separability properties of the corresponding linear GinzburgLandau equation. Then based on the maximal regularity properties of linear problem and perturbation techniques the existence, uniqueness of local and global solution, L^{p}regularity, and blow up properties to solution of nonlinear GinzburgLandau equations are established. 