A Picone identity for first order differential systems

The 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.

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+), ...

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.

A method for solving first order fuzzy differential equation

A Pure First Order Representation for Undamped Second Order Descriptor Systems

The aim of this paper is to analyze the undamped second order descriptor systems to show the possibility of transform an undamped second order descriptor system to a pure first order descriptor system ,on different ways, while stating some of its benefits. Meanwhile we will introduce pure first order systems and undamped second order systems and indicate that under some assumptions every undamp...