Relative path Issue - TypeScript compiler behaving differently on Windows vs Linux

I have used relative Paths to import modules created in my Angular2 and TypeScript application.

Example (Source Code)

import {Http} from 'angular2/http';
import {Injectable} from 'angular2/core';
import {Person} from '../core/Person';  

This compiles fine on windows (tsc v1.7.5) but is not able to load on Linux.

Questions:

1. Why is this behaving so on linux?
2. Is there a standard way to declare path of modules in typescript?

tsconfig.json

{
  "compilerOptions": {
    "target": "es5",
    "module": "system",
    "moduleResolution": "node",
    "sourceMap": true,
    "emitDecoratorMetadata": true,
    "experimentalDecorators": true,
    "removeComments": false,
    "noImplicitAny": false
  },
  "exclude": [
    "node_modules",
     "wwwroot/lib"
  ]
}

Error on Ubuntu 14.04

wwwroot/app/people/people.service.ts(3,22): error TS2307: Cannot find module '../core/Person'. wwwroot/app/routes.config.ts(1,22): error TS2307: Cannot find module './home/Home'. wwwroot/app/routes.config.ts(2,23): error TS2307: Cannot find module './about/About'. wwwroot/app/routes.config.ts(3,24): error TS2307: Cannot find module './people/People'. wwwroot/app/routes.config.ts(4,30): error TS2307: Cannot find module './people/PersonDetail'.

As you can see from sourcecode on github, Person.ts contains the class person located in wwwroot\app\core\Person.ts

Please help me resolve this issue. Thanks in advance.

I found the problem.

Windows ignores case in directory & file names whereas linux does not.

After keeping all folder and file names in small case and replicating the same in imports. It compiled successfully.