To answer the question, I followed these steps:

<ul>
  <li><b>Identified the relevant indicator</b>: I searched for the official measure of under-five mortality rate to ensure I used the correct data.</li>
  <li><b>Found the indicator code</b>: I looked up the specific code for the under-five mortality rate to retrieve accurate statistics.</li>
  <li><b>Gathered data for Kyrgyzstan</b>: I collected the under-five mortality rate values for Kyrgyzstan for both 2006 and 2011.</li>
  <li><b>Collected data for other Central Asian countries</b>: I retrieved the same indicator for Kazakhstan, Tajikistan, Turkmenistan, and Uzbekistan for both years to calculate the total for the region.</li>
  <li><b>Compared Kyrgyzstan’s share</b>: I calculated Kyrgyzstan’s share of the total under-five mortality rate in Central Asia for both years and compared them to see if it increased or decreased.</li>
</ul>

<b>In summary</b>, I gathered the necessary data for all Central Asian countries, calculated the regional totals, and determined Kyrgyzstan’s proportion for each year.

<b>Final answer:</b> Yes, Kyrgyzstan's share of the total under-five mortality rate in Central Asia was higher in 2011 than it was in 2006.