e are still investigating the equations ( Affine equations ), ( Heston equations ) and aiming to recover the expression for were the process is given by the equations and the are constants, are increments of independent standard Brownian motions. According to the general theory of the Backward Kolmogorov's equation, see the section ( Backward equation section ), we have the following PDE and initial condition: We look for a solution of the form We substitute such representation into the PDE: To transform the boundary condition we use the inverse Fourier transform: The expression of the form is Dirac's delta function. Indeed, for any smooth quickly decaying and Fourier transform Hence,
We continue with investigation of the equation We seek a solution of the form We have hence The last equation should be satisfied for every . Hence, we separate powers of : The above equations are subject to the final conditions The expressions for , may be obtained with the technique described in the section on the Ricatti equation ( Ricatti equation ).
Operation Kid Comfort provides FREE photo-transfer quilts to children of deployed service men and women. If you wish to receive a quilt, or would like to learn more about how can support military families, please contact: operationkidcomfort@gmail.com.
Comfort. Create. Unite. Operation Kid Comfort creates comfort quilts and pillows for children of deployed service men and women, and offers an opportunity for America to unite in support of military families. Please take a few moments to scroll on down, look at our pictures, and read about our success.
Let me tell you about some of our young volunteers that Operation Kid Comfort is privileged to have on board.
Haven (age 12) and Avia Kinard (age 10) (Lyric’s darling daughters) donated the proceeds of a Fourth of July concert to Operation Kid Comfort. They took it upon themselves to plan and hold the neighborhood concert with Haven on the violin and Avia on the flute and raised SEVENTY-FIVE dollars to help us provide free quilts and pillows to children of deployed service men and women.
"I had plenty of fun performing and I am glad to know it was for such a good cause. I feel really sorry for all the children who's parents are at war and it's good to know that someone is helping and taking care of them. I know if my parents went to war I would nearly die of worry. Knowing that I am helping children like that makes me feel great."
Emily Newton, age 12, has made three Operation Kid Comfort quilts and a pillow cover this summer, and all for the same family! How great is that! Check out this picture of Emily with two recipients of her wonderful quilts!
Katie Newton (below) wanted to do a volunteer project over the summer. Filling a bag with our patriotic fabric scraps, she took them home and created a 40” square quilted wall hanging for an Operation Kid Comfort raffle as a fundraiser. Isn’t it beautiful! This is her first quilt other than Opertion Kid Comfort quilts!
If you would like to purchase raffle tickets for the quilt, at $1.00 each, please send a check payable to Armed Services YMCA ( noting the Operation Kid Comfort Raffle) to:
Please let us know if you wish us to return the ticket stubs to you (a self addressed, stamped envelope would be very helpful), or if we can email you the ticket numbers. The drawing will be on Make A Difference Day, October 22, 2005. You need not be present; we will contact you if you win.
Please join me in tremendous praise for these young patriotic volunteers. They are amazing young people who deserve a lot of credit for their unselfish efforts.
All together now… a round of applause for Haven, Avia, Katie, Emily and all our fantastic volunteers…or as we are fond of shouting here at Fort Bragg….Hooah!
And volunteers...please write in and tell us why you like to volunteer at Operation Kid Comfort? I'm sure you have some valuable advice and heartwarming tales of your OpKid workshop experience. We'd love to hear from you.
If you haven't volunteered yet...come on by any Wednesday or Thursday from nine to two, and we'll show you how we make our quilts.