%0 Journal Article
%T Oscillator with Distributed Nonlinear Structure on a Segment of Lossy Transmission Line
%A Vasil G. Angelov
%J Open Access Library Journal
%V 3
%N 11
%P 1-13
%@ 2333-9721
%D 2016
%I Open Access Library
%R 10.4236/oalib.1103106
%X <div style="text-align:justify;">
	<span style="line-height:1.5;">We consider a model of self-oscillator with
distributed amplifying structure realized on a segment of lossy transmission
line. The distributed structure of tunnel diode type generates nonlinearity of
polynomial type in the hyperbolic transmission line system. The transmission line
is terminated by nonlinear reactive elements at both ends. This means that
using Kirchhoff¡¯s law we obtain nonlinear boundary conditions. Then a mixed
problem for lossy transmission line system is formulated. We give a new approach
to present the mixed problem in a suitable operator form and using fixed point
method we prove existence-uniqueness of a solution. To apply the theorem proved
one has to check just several inequalities. We demonstrate conditions obtained
on a numerical example.</span>
</div>
%K Oscillator Amplifier
%K Lossy Transmission Line
%K Nonlinear Distributed Structure
%K Fixed Point Method
%U http://www.oalib.com/paper/5275193