Existence of solution math homework help

/in /by

Show that the integral equation

x(t) = log(1 + t) + (1/5)(integral of e^(-t)cos^2(ts)(x(s))^2ds), integration going from 0 to 1

has a solution in C[0,1]. Justify your answer carefully.

Hint: Use the contraction mapping theorem. You may need to work with a suitable subset of C[0,1] rather than C[0,1]. Identifying such a subset is part of the problem.

 
Do you need a similar assignment done for you from scratch? We have qualified writers to help you. We assure you an A+ quality paper that is free from plagiarism. Order now for an Amazing Discount!
Use Discount Code "Newclient" for a 15% Discount!

NB: We do not resell papers. Upon ordering, we do an original paper exclusively for you.