We have a search edit text and a list in layout , activity_main.xml

<RelativeLayout xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:tools="http://schemas.android.com/tools"
    android:layout_width="match_parent"
    android:layout_height="match_parent"
    tools:context=".MainActivity">
    <EditText
        android:id="@+id/etSearch"
        android:layout_width="match_parent"
        android:layout_height="wrap_content"
        android:layout_marginTop="20dp"
        android:hint="@string/search" />
    <ListView
        android:id="@+id/lvMonth"
        android:layout_width="match_parent"
        android:layout_height="match_parent"
        android:layout_below="@+id/etSearch" />
</RelativeLayout>

In our corresponding java class, MainActivity.java

public class MainActivity extends AppCompatActivity {
    private EditText search;
    private ArrayAdapter<String> month;
    @Override
    protected void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.activity_main);
        ListView listView = (ListView) findViewById(R.id.lvMonth);
        search = (EditText) findViewById(R.id.etSearch);
        String[] value = new String[]{"January", "February", "March", "April", "May", "June", "July", "August", "September", "October", "November", "December"};
        month = new ArrayAdapter<String>(this, android.R.layout.simple_list_item_1, android.R.id.text1, value);
        listView.setAdapter(month);
        search.addTextChangedListener(new TextWatcher() {
            @Override
            public void beforeTextChanged(CharSequence s, int start, int count, int after) {
            }
            @Override
            public void onTextChanged(CharSequence s, int start, int before, int count) {
                MainActivity.this.month.getFilter().filter(s);
            }
            @Override
            public void afterTextChanged(Editable s) {
            }
        });
    }
}

Here I have used addTextChangeListener to edit text and on TextChanged method,i have use filter method to filter the result and show result accordingly.