Unified Theories for Massive Spin 1 Fields

1973 ◽  
Vol 51 (14) ◽  
pp. 1467-1470 ◽  
Author(s):  
A. Shamaly ◽  
A. Z. Capri
Keyword(s):  
Differential Equations ◽  
First Order ◽  
Special Cases ◽  
Massive Spin ◽  
Unified Theories ◽  
Stueckelberg Formalism ◽  
First Order Differential Equations

A pair of sets of first-order differential equations is given. They contain as special cases all the known spin 1 theories except the Stueckelberg formalism. It is also known that all of these theories are essentially causal.

On Electromagnetic Fields in a Periodically Inhomogeneous Chiral Medium

1990 ◽  
Vol 45 (5) ◽  
pp. 639-644 ◽  
Author(s):  
Akhlesh Lakhtakia ◽  
Vijay K. Varadan ◽  
Vasundara V. Varadan
Keyword(s):  
Differential Equations ◽  
Electromagnetic Fields ◽  
Chiral Medium ◽  
Piecewise Constant ◽  
First Order ◽  
Special Cases ◽  
Constitutive Properties ◽  
Constant Impedance ◽  
First Order Differential Equations

Abstract Electromagnetic fields in a periodically inhomogeneous chiral medium are examined. The constitutive properties of the chiral medium vary along the z axis, and reduced fields with prescribed x-variations are used. Coupled first-order differential equations are derived to describe the reduced fields. Two special cases -(i) piecewise constant inhomogeneity, and (ii) constant impedance inhomogeneity, - are discussed in detail, and solution procedures are provided

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.

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