Please use below command change the paths acc. to Unix environment and run. It should work. Just tested in local its working.
No class def found error coming because of weblogic.jar is not in classpath so use below command it will work.
java -cp D:\Softwares\bea\wlserver_10.3\server\lib\weblogic.jar weblogic.Deployer -adminurl t3://localhost:7001 -user weblogic -password weblogic -deploy -name myTestApplication D:\Softwares\myWARFile.war
Make sure JAVA_HOME and PATH is set to the JAVA used by the weblogic server.
Like for WL10.3 minimum version is 1.6.0_5 JDK
Thanks,
Ramakanta Sahoo