Picone-type identity and comparison results for a class of partial differential equations of order 4m
نویسندگان
چکیده
منابع مشابه
PICONE-TYPE IDENTITY AND COMPARISON RESULTS FOR A CLASS OF PARTIAL DIFFERENTIAL EQUATIONS OF ORDER 4m
Recently, an identity of the Picone type for the weighted p-biharmonic operator was established by the present author [5] and employed in proving comparison theorems and other qualitative results for a pair of fourth-order elliptic partial differential equations of the form ∆ ( a(x)|∆u|p−2∆u ) − c(x)|u|p−2u = 0, (1.1) and ∆ ( A(x)|∆v|p−2∆v ) − C(x)|v|p−2v = 0, (1.2) where p > 1, a,A ∈ C(Ḡ,R+), ...
متن کاملThe Picone Identity for a Class of Partial Differential Equations
The Picone-type identity for the half-linear second order partial differential equation n i=1 ∂ ∂xi Φ ∂u ∂xi + c(x)Φ(u) = 0, Φ(u) := |u|u, p > 1, is established and some applications of this identity are suggested.
متن کاملglobal 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...
A Picone Type Identity for Second Order Half–linear Differential Equations
In the paper a Picone-type identity for half-linear differential equations of second order is derived and Sturmian theory for both forced and unforced halflinear and quasilinear equations based on this identity is developed.
متن کاملExistence and uniqueness results for a nonlinear differential equations of arbitrary order
This paper studies a fractional boundary value problem of nonlinear differential equations of arbitrary orders. New existence and uniqueness results are established using Banach contraction principle. Other existence results are obtained using Schaefer and Krasnoselskii fixed point theorems. In order to clarify our results, some illustrative examples are also presented.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Opuscula Mathematica
سال: 2013
ISSN: 1232-9274
DOI: 10.7494/opmath.2013.33.4.701