Some Malmquist-Type Theorems of Partial Differential Equations on Cn

global results on some nonlinear partial differential equations for direct and inverse problems

در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...

Topological soliton solutions of the some nonlinear partial differential equations

In this paper, we obtained the 1-soliton solutions of the symmetric regularized long wave (SRLW) equation and the (3+1)-dimensional shallow water wave equations. Solitary wave ansatz method is used to carry out the integration of the equations and obtain topological soliton solutions The physical parameters in the soliton solutions are obtained as functions of the dependent coefficients. Note t...

Stability theorems for some functional differential equations

Some New Aspects of Lyapunov-Type Theorems for Stochastic Differential Equations of Neutral Type

Some new Lyapunov-type theorems for stochastic differential equations of neutral type are proved. It is shown that these theorems simplify an application of Kolmanovskii and Shaikhet's general method of Lyapunov functionals construction for stability investigation of different mathematical models.

Some L* Estimates for Partial Differential Equations

to hold for functions u satisfying given (possibly void) boundary conditions, where the Ak are linear partial differential operators, p is greater than one, and || • j | , , 3 , is an L p norm defined for all real values of 5. When 5 is a non-negative integer, ||w||8fl, is essentially the sum of the L norms of u and all its derivatives up to order s. We do not require that the A * be of the sam...