Second order and systems of two first order differential equations

2015 ◽  
pp. 641-688
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
First Order ◽  
First Order Differential Equations

scholarly journals On pseudoelliptic systems of first order differential equations

1987 ◽  
Vol 108 ◽  
pp. 15-51 ◽  
Author(s):  
Kazushige Ueno
Keyword(s):  
Differential Equations ◽  
Finite Type ◽  
Differential Operators ◽  
Second Order ◽  
First Order ◽  
Elliptic Differential Operators ◽  
First Order Differential Equations

In the study of elliptic differential operators of second order, we found that the automorphism pseudogroups are of finite type ([4]). However this fact takes a complete change in elliptic differential operators of first order.So as to make the objects which can be dealt with clear, we introduce the concept of pseudoellipticity of first order differential operators (Definition 1.1), which is naturally satisfied by first order elliptic differential operators.

Asymptotics for third-order nonlinear differential equations: Non-oscillatory and oscillatory cases

2021 ◽  
pp. 1-19
Author(s):  
Calogero Vetro ◽  
Dariusz Wardowski
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Order Differential Equation ◽  
Nonlinear Differential Equations ◽  
Oscillatory Behavior ◽  
Third Order ◽  
First Order ◽  
Third Order Differential Equation ◽  
Comparison Technique ◽  
First Order Differential Equations

We discuss a third-order differential equation, involving a general form of nonlinearity. We obtain results describing how suitable coefficient functions determine the asymptotic and (non-)oscillatory behavior of solutions. We use comparison technique with first-order differential equations together with the Kusano–Naito’s and Philos’ approaches.

Sign in / Sign up

Export Citation Format

Share Document