Approximation and rapid convergence of solutions for periodic nonlinear problems

作者：Khan Rahmat Ali^*; Nieto Juan J; Torres Angela

来源：Dynamic Systems and Applications, 2008, 17(1): 121-137.

• upper and lower solutions
• quasilinearization
• biomathematical model

We study existence and approximation of solutions of some second order nonlinear periodic boundary value problem of the type
-x''(t) = f(t, x, x'), t epsilon [0, T],
x(0) = x(T), x'(0) = x'(T),
in the presence of lower and upper solutions. We develop the upper and lower solutions method and the quasilinearization technique for the existence and approximation of solutions. We apply our theoretical results to a, medical problem.

• 出版日期2008-3