readme.txt

LiScNLS is a Matlab application for the numerical study of some nonlinear differential equations o

LiScNLS package is part of the
Lyapunov-Schmidt Method Package LiScMP ver. 1.0 
for Matlab version 6.5 Release 13

Developed by Damian TRIF, 2005
e-mail: [e-mail]
Reference:
Trif, D., The Lyapunov-Schmidt method for two-point boundary value problems, 
Fixed Point Theory, 6,1,2005, pp. 119-132

LiScNLS is a Matlab application for the numerical study of some nonlinear 
differential equations of the form Lu=Nu, using the Lyapunov-Schmidt method.
Downloading the LiScNLS package creates a new 'LiScNLS' folder on the computer.

To use the package
    - make 'LiScNLS' the current directory or add the corresponding search path 
    - type 'liscstartup' on the Matlab command line
To run an example:
    - read the tutorial
    - call 'lisc' with values for parameters on the Matlab command line, for example
            [lam,phi,phip,x,c,kod]=lisc(64,1.e-5,'LEmden',1,'NEmden');
To run and save a new example:
    - write and save in "myexamples" folder the files (Lfun.m and Nfun.m for example) 
           with data for your problem
    - call 'lisc' as above
    - the output c contains the coefficients of the eigenfunctions expansion of the solution
            sol(x)=c1*phi(:,1)+c2*phi(:,2)+...cn*phi(:,n)
    - you can plot the solution, plot(x,phi*c)
       
LiScNLS is freely available and it is distributed in the hope 
that it will be useful but WITHOUT ANY WARRANTY. Consequently, 
in no circumstances can the author be held responsible for any deficiency, fault 
or other mishappening with regard to the use or performance of LiScNLS.
Please send bug reports, experiences, wishes and comments to
[e-mail]