On the Phragmen-Lindelof Principle for Elliptic Differential Equations

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...

The Maximum Principle for Viscosity Solutions of Elliptic Differential Functional Equations

This paper is devoted to the study of the maximum principle for the elliptic equation with a deviated argument. We will consider viscosity solutions of this equation.

Lecture Notes on Elliptic Partial Differential Equations

On the Exact Solution for Nonlinear Partial Differential Equations

In this study, we aim to construct a traveling wave solution for nonlinear partial differential equations. In this regards, a cosine-function method is used to find and generate the exact solutions for three different types of nonlinear partial differential equations such as general regularized long wave equation (GRLW), general Korteweg-de Vries equation (GKDV) and general equal width wave equ...

Averaging Principle for Differential Equations with Hysteresis

The goal of this paper is to extend the averaging technique to new classes of hysteresis operators and oscillating functions as well as to bring more consistency into the exposition. In the first part of the paper, making accent on polyhedral vector sweeping processes, we keep in mind possible applications to the queueing theory where these processes arise naturally. In the second part we conce...