Which version of Essbase is it, by the sounds it is running on windows so usually you would start a windows service, also you normally would check the logs if there is a problem.
If you start the OPMN service and the essbase.exe process starts and then stops you will need to check the logs, check the Essbase.log and the OPMN logs
This is the kind of log:
Seems like it starts and then stops by itself
Operation: request (success)
[2013-05-23T13:01:32][opmn][TRACE:1][OPMN][code:pm-process]Process Stopped: Essbase1~EssbaseAgent~AGENT~1 (977144919:10968)
[2013-05-23T13:49:45][opmn][NOTIFICATION:1][OPMN][code:ons-internal]ONS server initiated
[2013-05-23T13:49:45][opmn][NOTIFICATION:1][OPMN][code:pm-internal]PM state directory exists: D:\oracle\Middleware\user_projects\epmsystem2\config\OPMN\opmn\states
[2013-05-23T13:49:45][opmn][NOTIFICATION:1][OPMN][code:pm-internal]OPMN server ready. Request handling enabled.
[2013-05-23T13:49:45][opmn][TRACE:1][OPMN][code:pm-requests]Request 2 Started. Command: /start
[2013-05-23T13:49:45][opmn][TRACE:1][OPMN][code:pm-process]Starting Process: Essbase1~EssbaseAgent~AGENT~1 (977144920:0)
[2013-05-23T13:49:57][opmn][TRACE:1][OPMN][code:pm-process]Process Alive: Essbase1~EssbaseAgent~AGENT~1 (977144920:10020)
[2013-05-23T13:49:57][opmn][TRACE:1][OPMN][code:pm-requests]Request 2 Completed. Command: /start
[2013-06-03T10:02:00][opmn][NOTIFICATION:1][OPMN][code:pm-internal]OPMN server stopped. Request handling disabled.
[2013-06-03T10:02:00][opmn][TRACE:1][OPMN][code:pm-requests]Request 3 Started. Command: /shutdown
[2013-06-03T10:02:00][opmn][TRACE:1][OPMN][code:pm-process]Stopping Process: Essbase1~EssbaseAgent~AGENT~1 (977144920:10020)
[2013-06-03T10:02:23][opmn][TRACE:1][OPMN][code:pm-requests]Request 3 Completed. Command: /shutdown
Operation: request (success)
13/08/02 10:50:16 Start process
EPMCSS-00001: Failed to initialize EPM Shared Services security instance. Component SYSTEM9/FOUNDATION_SERVICES_PRODUCT/SHARED_SERVICES_PRODUCT is null in EPM System Registry. Verify EPM System Registry configuration.
Warning: Invalid or Obsolete Configuration Setting - essbase.cfg(37): "InstanceName Essbase1"
DefaultLogLocation is set to FALSE. Using [ARBORPATH] to set log location.
ODL log location is [D:\oracle\Middleware\user_projects\epmsystem2\diagnostics\logs\essbase\essbase_0].
65535 Essbase user 65535 Planning user system
Essbase - Release 11.1.2 (ESB188.8.131.52.0B347)
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Fatal Error: An error occurred while initializaing Essbase. See the Essbase log file for more information
[Fri Aug 02 10:50:16 2013]Local/ESSBASE0///5732/Info(1051283)
Retrieving License Information Please Wait...
[Fri Aug 02 10:50:16 2013]Local/ESSBASE0///5732/Info(1051286)
License information retrieved.
[Fri Aug 02 10:50:23 2013]Local/ESSBASE0///5732/Error(1051223)
Single Sign On function call [css_init] failed with error [CSS Error: CSS method invocation error: getInstance: Failed to get CSSSystem instance, please check SharedServices_Security_Client.log for more information]
[Fri Aug 02 10:50:23 2013]Local/ESSBASE0///5732/Info(1051198)
Single Sign-On Initialization Failed !
[Fri Aug 02 10:50:23 2013]Local/ESSBASE0///5732/Info(1051232)
Using English_UnitedStates.Latin1@Binary as the Essbase Locale
Exception in thread "main"
[Fri Aug 02 10:50:23 2013]Local/ESSBASE0///5732/Error(1051683)
Attempt to retrieve connection information from the registry failed. Please check reg.properties file and try again.
[Fri Aug 02 10:50:23 2013]Local/ESSBASE0///5732/Error(1051686)
Attempt to find an Agent instance corresponding to ARBORPATH [D:/HYPERION/ESSBASE] failed.
Check whether all information is correct in reg.properties file (<epmdrive>:\Oracle\Middleware\user_projects\epmsystem1\config\foundation\184.108.40.206)
Is it showing an IP address?