Some Growth Theorems for Linear Ordinary Differential Equations

General linear methods for ordinary differential equations

Come with us to read a new book that is coming recently. Yeah, this is a new coming book that many people really want to read will you be one of them? Of course, you should be. It will not make you feel so hard to enjoy your life. Even some people think that reading is a hard to do, you must be sure that you can do it. Hard will be felt when you have no ideas about what kind of book to read. Or...

Stability theorems for some functional differential equations

Uniqueness Theorems for Ordinary Differential Equations with Hölder Continuity

We establish some uniqueness results near 0 for ordinary differential equations of the type u(t) = f(u(t)) which satisfies u(0) = u′(0) = · · · = u(m−1)(0) = 0 and u(0) 6= 0 with m ≥ n. We also show that although f is not Lipschitz near 0, it is always Hölder continuous.

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...

Existence and Uniqueness Theorems for Ordinary Differential Equations with Linear Programs Embedded

1. Introduction. This work discusses existence and uniqueness theorems for the solution of an initial value problem in ordinary differential equations (ODEs) with a linear program (LP) embedded. Specifically, the solution set of a LP influences the vector field of the ODE, meanwhile the LP has a parametric dependence on the differential state through the right-hand sides of its constraints. The...